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                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        },
        "operationId": "computeEnergySpectra",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "description": "Total, normal and parallel energy distributions of one point"
      }
    },
    "/v1/barrier": {
      "post": {
        "summary": "Barrier potential profile and top",
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "type": "object",
                "required": [
                  "field"
                ],
                "properties": {
                  "field": {
                    "type": "number",
                    "description": "V/nm"
                  },
                  "radius": {
                    "type": [
                      "number",
                      "null"
                    ],
                    "description": "nm; null = planar"
                  },
                  "gamma": {
                    "type": "number",
                    "default": 10
                  },
                  "distance": {
                    "type": "array",
                    "items": {
                      "type": "number"
                    },
                    "description": "nm"
                  },
                  "points": {
                    "type": "integer",
                    "description": "Log-spaced samples from 0.05 nm to maxDistance"
                  },
                  "maxDistance": {
                    "type": "number",
                    "description": "nm"
                  }
                }
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "Barrier",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "distance": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "potential": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      },
                      "description": "eV relative to the vacuum level"
                    },
                    "topDistance": {
                      "type": "number",
                      "description": "nm"
                    },
                    "topPotential": {
                      "type": "number",
                      "description": "eV relative to the vacuum level"
                    },
                    "topHbarOmega": {
                      "type": "number",
                      "description": "eV"
                    }
                  }
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        },
        "operationId": "computeBarrier",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "description": "Barrier potential profile and top"
      }
    },
    "/v1/transmission": {
      "post": {
        "summary": "Transmission probability vs normal energy for one point",
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "allOf": [
                  {
                    "$ref": "#/components/schemas/Point"
                  },
                  {
                    "type": "object",
                    "properties": {
                      "energy": {
                        "oneOf": [
                          {
                            "type": "number"
                          },
                          {
                            "type": "array",
                            "items": {
                              "type": "number"
                            }
                          }
                        ],
                        "description": "Normal energy relative to E_F (eV)"
                      },
                      "points": {
                        "type": "integer",
                        "default": 101,
                        "description": "Evenly spaced energies from max(E_F - 3 eV, band bottom) to barrier top + 1 eV"
                      },
                      "parallelEnergy": {
                        "type": "number",
                        "default": 0,
                        "description": "eV"
                      }
                    }
                  }
                ]
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "Transmission",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "energy": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "transmission": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "logTransmission": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "gamow": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "kemble": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    }
                  }
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        },
        "operationId": "computeTransmission",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "description": "Transmission probability vs normal energy for one point"
      }
    },
    "/v1/iv-fit": {
      "post": {
        "summary": "Fit measured I\u2013V data",
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "type": "object",
                "required": [
                  "voltage",
                  "current",
                  "workFunction"
                ],
                "properties": {
                  "voltage": {
                    "type": "array",
                    "items": {
                      "type": "number"
                    },
                    "description": "V"
                  },
                  "current": {
                    "type": "array",
                    "items": {
                      "type": "number"
                    },
                    "description": "A"
                  },
                  "workFunction": {
                    "type": "number"
                  },
                  "radius": {
                    "type": [
                      "number",
                      "null"
                    ]
                  },
                  "gamma": {
                    "type": "number"
                  },
                  "temperature": {
                    "type": "number"
                  },
                  "effectiveMass": {
                    "type": "number"
                  },
                  "bandDepth": {
                    "type": "number"
                  },
                  "fit": {
                    "type": "array",
                    "items": {
                      "type": "string",
                      "enum": [
                        "radius",
                        "gamma",
                        "workFunction",
                        "temperature"
                      ]
                    },
                    "description": "Extra parameters to fit (beta and area are always fitted)"
                  },
                  "initialBeta": {
                    "type": "number",
                    "description": "Starting beta (1/nm); default from a Fowler-Nordheim plot"
                  },
                  "maxIterations": {
                    "type": "integer",
                    "default": 60
                  },
                  "bounds": {
                    "type": "object",
                    "description": "Any subset; missing entries keep their defaults",
                    "additionalProperties": false,
                    "properties": {
                      "beta": {
                        "$ref": "#/components/schemas/Range"
                      },
                      "radius": {
                        "$ref": "#/components/schemas/Range"
                      },
                      "gamma": {
                        "$ref": "#/components/schemas/Range"
                      },
                      "workFunction": {
                        "$ref": "#/components/schemas/Range"
                      },
                      "temperature": {
                        "$ref": "#/components/schemas/Range"
                      }
                    }
                  },
                  "options": {
                    "$ref": "#/components/schemas/Options"
                  }
                }
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "Fit result",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "converged": {
                      "type": "boolean"
                    },
                    "iterations": {
                      "type": "integer"
                    },
                    "rmsLogResidual": {
                      "type": "number"
                    },
                    "beta": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "area": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "radius": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "gamma": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "workFunction": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "temperature": {
                      "$ref": "#/components/schemas/Estimate"
                    },
                    "voltage": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "current": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "field": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    },
                    "fittedCurrent": {
                      "type": "array",
                      "items": {
                        "type": "number"
                      }
                    }
                  }
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        },
        "operationId": "fitCurrentVoltage",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "description": "Fit measured I\u2013V data"
      }
    },
    "/v1/batch": {
      "post": {
        "summary": "Execute batch / bulk operations",
        "description": "Atomic or sequential execution of multiple API operations in a single HTTP request.",
        "operationId": "executeBatchOperations",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "$ref": "#/components/schemas/BatchRequest"
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "All batch operations executed",
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/BatchResponse"
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        }
      }
    },
    "/v1/jobs": {
      "post": {
        "summary": "Submit long-running asynchronous simulation job",
        "description": "Returns 202 Accepted with a Location header and polling URL for long-running physics or batch tasks.",
        "operationId": "createAsyncJob",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "type": "object",
                "properties": {
                  "job_type": {
                    "type": "string",
                    "example": "emission_spectrum_sweep"
                  },
                  "parameters": {
                    "type": "object"
                  }
                },
                "required": [
                  "job_type"
                ]
              }
            }
          }
        },
        "responses": {
          "202": {
            "description": "Accepted for background execution",
            "headers": {
              "Location": {
                "description": "Relative or absolute URL to poll the job status",
                "schema": {
                  "type": "string",
                  "format": "uri"
                }
              },
              "Retry-After": {
                "description": "Recommended delay before polling again",
                "schema": {
                  "type": "integer",
                  "default": 5
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/JobStatus"
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "200": {
            "description": "Job completed synchronously",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "required": [
                    "job_id",
                    "status"
                  ],
                  "properties": {
                    "job_id": {
                      "type": "string",
                      "description": "Unique job identifier"
                    },
                    "status": {
                      "type": "string",
                      "description": "Job execution state"
                    }
                  }
                }
              }
            }
          }
        }
      },
      "get": {
        "summary": "List recent simulation jobs",
        "description": "Paginated list of asynchronous jobs submitted to the cluster.",
        "operationId": "listAsyncJobs",
        "parameters": [
          {
            "$ref": "#/components/parameters/Cursor"
          },
          {
            "$ref": "#/components/parameters/Limit"
          }
        ],
        "responses": {
          "200": {
            "description": "Paginated job listings",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "jobs": {
                      "type": "array",
                      "items": {
                        "$ref": "#/components/schemas/JobStatus"
                      }
                    },
                    "pagination": {
                      "$ref": "#/components/schemas/PaginationMeta"
                    }
                  },
                  "required": [
                    "jobs",
                    "pagination"
                  ]
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        }
      }
    },
    "/v1/jobs/{job_id}": {
      "get": {
        "summary": "Poll asynchronous simulation job status",
        "description": "Retrieve status, progress, and results for a background job.",
        "operationId": "getAsyncJob",
        "parameters": [
          {
            "name": "job_id",
            "in": "path",
            "required": true,
            "description": "Job ID returned from POST /v1/jobs",
            "schema": {
              "type": "string",
              "format": "uuid"
            }
          }
        ],
        "responses": {
          "200": {
            "description": "Current job status and result",
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/JobStatus"
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        }
      }
    },
    "/ask": {
      "post": {
        "summary": "NLWeb natural language query endpoint",
        "description": "Microsoft NLWeb protocol endpoint returning structured responses with _meta.",
        "operationId": "askNLWeb",
        "parameters": [
          {
            "$ref": "#/components/parameters/IdempotencyKey"
          }
        ],
        "requestBody": {
          "required": true,
          "content": {
            "application/json": {
              "schema": {
                "type": "object",
                "properties": {
                  "query": {
                    "type": "string"
                  }
                },
                "required": [
                  "query"
                ]
              }
            }
          }
        },
        "responses": {
          "200": {
            "description": "NLWeb response",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "_meta": {
                      "type": "object",
                      "properties": {
                        "response_type": {
                          "type": "string"
                        },
                        "version": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "response_type",
                        "version"
                      ]
                    },
                    "answer": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "_meta",
                    "answer"
                  ]
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        }
      },
      "get": {
        "summary": "NLWeb natural language query GET endpoint",
        "operationId": "askNLWebGet",
        "parameters": [
          {
            "name": "q",
            "in": "query",
            "required": false,
            "schema": {
              "type": "string"
            }
          }
        ],
        "responses": {
          "200": {
            "description": "NLWeb response",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "properties": {
                    "_meta": {
                      "type": "object",
                      "properties": {
                        "response_type": {
                          "type": "string"
                        },
                        "version": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "response_type",
                        "version"
                      ]
                    },
                    "answer": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "_meta",
                    "answer"
                  ]
                }
              }
            }
          },
          "400": {
            "description": "Error response (400)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "404": {
            "description": "Error response (404)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "429": {
            "description": "Error response (429)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "500": {
            "description": "Error response (500)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "default": {
            "description": "Error response (default)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "401": {
            "description": "Error response (401)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          },
          "403": {
            "description": "Error response (403)",
            "headers": {
              "RateLimit-Limit": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Remaining": {
                "schema": {
                  "type": "integer"
                }
              },
              "RateLimit-Reset": {
                "schema": {
                  "type": "integer"
                }
              },
              "Retry-After": {
                "schema": {
                  "type": "integer"
                }
              }
            },
            "content": {
              "application/json": {
                "schema": {
                  "$ref": "#/components/schemas/Error"
                }
              },
              "application/problem+json": {
                "schema": {
                  "$ref": "#/components/schemas/ProblemDetails"
                }
              }
            }
          }
        },
        "description": "NLWeb natural language query GET endpoint"
      }
    },
    "/sandbox": {
      "get": {
        "summary": "Sandbox Environment Metadata",
        "description": "Get sandbox environment metadata and configuration.",
        "responses": {
          "200": {
            "description": "Sandbox metadata",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "required": [
                    "sandbox",
                    "status",
                    "environment"
                  ],
                  "properties": {
                    "sandbox": {
                      "type": "boolean",
                      "description": "True for sandbox environments"
                    },
                    "status": {
                      "type": "string",
                      "description": "Current readiness state"
                    },
                    "environment": {
                      "type": "string",
                      "description": "Environment identifier"
                    },
                    "free_tier": {
                      "type": "boolean",
                      "description": "True if free tier is supported"
                    },
                    "self_serve_keys": {
                      "type": "boolean",
                      "description": "True if self serve keys are supported"
                    }
                  }
                }
              }
            }
          }
        },
        "operationId": "getSandboxMetadata"
      }
    },
    "/sandbox/api/v1/health": {
      "get": {
        "summary": "Sandbox Health Check",
        "description": "Probe health status of the agent sandbox.",
        "responses": {
          "200": {
            "description": "Health status",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "required": [
                    "status",
                    "environment"
                  ],
                  "properties": {
                    "status": {
                      "type": "string",
                      "description": "Health status (e.g. ok, healthy)"
                    },
                    "environment": {
                      "type": "string",
                      "description": "Environment identifier"
                    }
                  }
                }
              }
            }
          }
        },
        "operationId": "getSandboxHealth"
      }
    },
    "/sandbox/api/v1/telemetry": {
      "get": {
        "summary": "Sandbox Simulation Telemetry",
        "description": "Retrieve active telemetry metrics from the sandbox.",
        "responses": {
          "200": {
            "description": "Telemetry status",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "required": [
                    "status",
                    "active_agents"
                  ],
                  "properties": {
                    "status": {
                      "type": "string",
                      "description": "Telemetry status"
                    },
                    "active_agents": {
                      "type": "integer",
                      "description": "Count of simulated agent connections"
                    }
                  }
                }
              }
            }
          }
        },
        "operationId": "getSandboxTelemetry"
      }
    },
    "/api/keys": {
      "get": {
        "summary": "Self-Serve API Key Generation",
        "description": "Generate an instant self-serve API key with zero friction.",
        "responses": {
          "200": {
            "description": "Provisioned key",
            "content": {
              "application/json": {
                "schema": {
                  "type": "object",
                  "required": [
                    "status",
                    "api_key",
                    "self_serve"
                  ],
                  "properties": {
                    "status": {
                      "type": "string",
                      "description": "Success status"
                    },
                    "api_key": {
                      "type": "string",
                      "description": "Provisioned API key token"
                    },
                    "self_serve": {
                      "type": "boolean",
                      "description": "Indicates self-serve provisioning"
                    },
                    "free_tier": {
                      "type": "boolean",
                      "description": "Indicates free tier eligibility"
                    }
                  }
                }
              }
            }
          }
        },
        "operationId": "generateSelfServeApiKey"
      }
    }
  },
  "components": {
    "schemas": {
      "Range": {
        "type": "array",
        "items": {
          "type": "number"
        },
        "minItems": 2,
        "maxItems": 2,
        "description": "[lower, upper]"
      },
      "NumOrArray": {
        "oneOf": [
          {
            "type": "number"
          },
          {
            "type": "array",
            "items": {
              "type": "number"
            }
          }
        ]
      },
      "Options": {
        "type": "object",
        "properties": {
          "mode": {
            "type": "string",
            "enum": [
              "exact",
              "wkb"
            ],
            "default": "exact"
          },
          "tolerance": {
            "type": "number",
            "default": 1e-06
          }
        }
      },
      "Point": {
        "type": "object",
        "required": [
          "field",
          "workFunction"
        ],
        "properties": {
          "field": {
            "type": "number",
            "description": "Local field (V/nm)"
          },
          "radius": {
            "type": [
              "number",
              "null"
            ],
            "description": "Radius of curvature (nm); null = planar"
          },
          "gamma": {
            "type": "number",
            "default": 10
          },
          "workFunction": {
            "type": "number",
            "description": "eV"
          },
          "temperature": {
            "type": "number",
            "default": 300,
            "description": "K"
          },
          "effectiveMass": {
            "type": "number",
            "default": 1,
            "description": "m_e"
          },
          "bandDepth": {
            "type": "number",
            "default": 10,
            "description": "eV"
          },
          "options": {
            "$ref": "#/components/schemas/Options"
          }
        }
      },
      "EmissionRequest": {
        "type": "object",
        "required": [
          "field",
          "workFunction"
        ],
        "properties": {
          "field": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "radius": {
            "oneOf": [
              {
                "type": "number"
              },
              {
                "type": "null"
              },
              {
                "type": "array",
                "items": {
                  "type": "number"
                }
              }
            ],
            "description": "nm; omit or null for planar"
          },
          "gamma": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "workFunction": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "temperature": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "effectiveMass": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "bandDepth": {
            "$ref": "#/components/schemas/NumOrArray"
          },
          "options": {
            "$ref": "#/components/schemas/Options"
          }
        }
      },
      "EmissionResponse": {
        "type": "object",
        "properties": {
          "count": {
            "type": "integer"
          },
          "currentDensity": {
            "type": "array",
            "items": {
              "type": [
                "number",
                "null"
              ]
            },
            "description": "A/nm^2"
          },
          "nottinghamHeat": {
            "type": "array",
            "items": {
              "type": [
                "number",
                "null"
              ]
            },
            "description": "W/nm^2; negative = emitter heated"
          },
          "meanEnergy": {
            "type": "array",
            "items": {
              "type": [
                "number",
                "null"
              ]
            },
            "description": "eV relative to E_F"
          },
          "barrierTop": {
            "type": "array",
            "items": {
              "type": [
                "number",
                "null"
              ]
            },
            "description": "eV relative to E_F"
          },
          "regime": {
            "type": "array",
            "items": {
              "type": [
                "string",
                "null"
              ],
              "enum": [
                "field",
                "intermediate",
                "thermionic",
                null
              ]
            }
          },
          "errors": {
            "type": "array",
            "items": {
              "$ref": "#/components/schemas/PointError"
            }
          },
          "elapsedMs": {
            "type": "number"
          }
        }
      },
      "PointError": {
        "type": "object",
        "properties": {
          "index": {
            "type": "integer"
          },
          "code": {
            "type": "string"
          },
          "message": {
            "type": "string"
          }
        }
      },
      "Distribution": {
        "type": "object",
        "properties": {
          "energy": {
            "type": "array",
            "items": {
              "type": "number"
            },
            "description": "eV (relative to E_F; parallel energy >= 0)"
          },
          "value": {
            "type": "array",
            "items": {
              "type": "number"
            },
            "description": "A/nm^2/eV"
          }
        }
      },
      "Estimate": {
        "type": "object",
        "properties": {
          "value": {
            "type": "number"
          },
          "sigma": {
            "type": "number",
            "description": "One standard deviation; 0 if held fixed"
          }
        }
      },
      "Error": {
        "type": "object",
        "required": [
          "code",
          "message"
        ],
        "properties": {
          "code": {
            "type": "string",
            "example": "invalid_parameter"
          },
          "message": {
            "type": "string",
            "example": "Parameter validation failed."
          },
          "error": {
            "type": "object",
            "required": [
              "code",
              "message"
            ],
            "properties": {
              "code": {
                "type": "string",
                "example": "invalid_parameter"
              },
              "message": {
                "type": "string",
                "example": "Parameter validation failed."
              }
            }
          }
        }
      },
      "ProblemDetails": {
        "type": "object",
        "required": [
          "type",
          "title",
          "status"
        ],
        "properties": {
          "type": {
            "type": "string",
            "format": "uri",
            "example": "about:blank"
          },
          "title": {
            "type": "string",
            "example": "Bad Request"
          },
          "status": {
            "type": "integer",
            "example": 400
          },
          "detail": {
            "type": "string",
            "example": "Invalid parameter value provided."
          },
          "code": {
            "type": "string",
            "example": "invalid_parameter"
          }
        }
      },
      "PaginationMeta": {
        "type": "object",
        "properties": {
          "cursor": {
            "type": "string",
            "nullable": true,
            "description": "Pointer to next page cursor."
          },
          "has_more": {
            "type": "boolean",
            "description": "True if more records exist beyond this page."
          },
          "next_cursor": {
            "type": "string",
            "nullable": true,
            "description": "Opaque token for the next page."
          },
          "total_count": {
            "type": "integer",
            "description": "Total number of items in the dataset."
          }
        },
        "required": [
          "has_more"
        ]
      },
      "JobStatus": {
        "type": "object",
        "properties": {
          "job_id": {
            "type": "string",
            "format": "uuid",
            "description": "Unique asynchronous job identifier."
          },
          "status": {
            "type": "string",
            "enum": [
              "pending",
              "running",
              "completed",
              "failed"
            ],
            "description": "Current execution lifecycle state."
          },
          "poll_url": {
            "type": "string",
            "format": "uri",
            "description": "Endpoint URL to poll for job progress."
          },
          "progress": {
            "type": "number",
            "minimum": 0,
            "maximum": 1,
            "description": "Fractional completion from 0.0 to 1.0."
          },
          "created_at": {
            "type": "string",
            "format": "date-time"
          },
          "updated_at": {
            "type": "string",
            "format": "date-time"
          },
          "result": {
            "type": "object",
            "nullable": true,
            "description": "Output payload upon completion."
          },
          "error": {
            "$ref": "#/components/schemas/Error",
            "nullable": true
          }
        },
        "required": [
          "job_id",
          "status",
          "poll_url"
        ]
      },
      "BatchOperation": {
        "type": "object",
        "properties": {
          "id": {
            "type": "string",
            "description": "Client-assigned correlation ID."
          },
          "method": {
            "type": "string",
            "enum": [
              "GET",
              "POST",
              "PUT",
              "DELETE"
            ],
            "description": "HTTP method."
          },
          "path": {
            "type": "string",
            "description": "Relative endpoint path."
          },
          "body": {
            "type": "object",
            "nullable": true,
            "description": "Optional operation body."
          }
        },
        "required": [
          "id",
          "method",
          "path"
        ]
      },
      "BatchRequest": {
        "type": "object",
        "properties": {
          "operations": {
            "type": "array",
            "items": {
              "$ref": "#/components/schemas/BatchOperation"
            },
            "description": "List of operations to execute atomically or in sequence."
          }
        },
        "required": [
          "operations"
        ]
      },
      "BatchOperationResult": {
        "type": "object",
        "properties": {
          "id": {
            "type": "string"
          },
          "status": {
            "type": "integer",
            "example": 200
          },
          "headers": {
            "type": "object",
            "additionalProperties": {
              "type": "string"
            }
          },
          "body": {
            "type": "object"
          }
        },
        "required": [
          "id",
          "status",
          "body"
        ]
      },
      "BatchResponse": {
        "type": "object",
        "properties": {
          "results": {
            "type": "array",
            "items": {
              "$ref": "#/components/schemas/BatchOperationResult"
            }
          }
        },
        "required": [
          "results"
        ]
      }
    },
    "responses": {
      "BadRequest": {
        "description": "Bad Request / Parameter Validation Failure (400)",
        "headers": {
          "RateLimit-Limit": {
            "description": "The request quota in the current time window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Remaining": {
            "description": "Remaining requests in the current window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Reset": {
            "description": "Seconds until the rate limit resets",
            "schema": {
              "type": "integer"
            }
          }
        },
        "content": {
          "application/json": {
            "schema": {
              "$ref": "#/components/schemas/Error"
            }
          },
          "application/problem+json": {
            "schema": {
              "$ref": "#/components/schemas/ProblemDetails"
            }
          }
        }
      },
      "NotFound": {
        "description": "Resource Not Found (404)",
        "headers": {
          "RateLimit-Limit": {
            "description": "The request quota in the current time window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Remaining": {
            "description": "Remaining requests in the current window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Reset": {
            "description": "Seconds until the rate limit resets",
            "schema": {
              "type": "integer"
            }
          }
        },
        "content": {
          "application/json": {
            "schema": {
              "$ref": "#/components/schemas/Error"
            }
          },
          "application/problem+json": {
            "schema": {
              "$ref": "#/components/schemas/ProblemDetails"
            }
          }
        }
      },
      "TooManyRequests": {
        "description": "Rate limit exceeded (429)",
        "headers": {
          "Retry-After": {
            "description": "Seconds until rate limit quota resets",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Limit": {
            "description": "The request quota in the current time window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Remaining": {
            "description": "Remaining requests in the current window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Reset": {
            "description": "Seconds until the rate limit resets",
            "schema": {
              "type": "integer"
            }
          }
        },
        "content": {
          "application/json": {
            "schema": {
              "$ref": "#/components/schemas/Error"
            }
          },
          "application/problem+json": {
            "schema": {
              "$ref": "#/components/schemas/ProblemDetails"
            }
          }
        }
      },
      "InternalServerError": {
        "description": "Internal Server Error (500)",
        "headers": {
          "RateLimit-Limit": {
            "description": "The request quota in the current time window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Remaining": {
            "description": "Remaining requests in the current window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Reset": {
            "description": "Seconds until the rate limit resets",
            "schema": {
              "type": "integer"
            }
          }
        },
        "content": {
          "application/json": {
            "schema": {
              "$ref": "#/components/schemas/Error"
            }
          },
          "application/problem+json": {
            "schema": {
              "$ref": "#/components/schemas/ProblemDetails"
            }
          }
        }
      },
      "Error": {
        "description": "Standard error response",
        "headers": {
          "Retry-After": {
            "description": "Seconds until rate limit quota resets",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Limit": {
            "description": "The request quota in the current time window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Remaining": {
            "description": "Remaining requests in the current window",
            "schema": {
              "type": "integer"
            }
          },
          "RateLimit-Reset": {
            "description": "Seconds until the rate limit resets",
            "schema": {
              "type": "integer"
            }
          }
        },
        "content": {
          "application/json": {
            "schema": {
              "$ref": "#/components/schemas/Error"
            }
          },
          "application/problem+json": {
            "schema": {
              "$ref": "#/components/schemas/ProblemDetails"
            }
          }
        }
      }
    },
    "parameters": {
      "IdempotencyKey": {
        "name": "Idempotency-Key",
        "in": "header",
        "required": false,
        "description": "Unique UUID string to ensure idempotent retries on state-mutating operations.",
        "schema": {
          "type": "string",
          "format": "uuid"
        }
      },
      "Cursor": {
        "name": "cursor",
        "in": "query",
        "required": false,
        "description": "Opaque pagination cursor for fetching the next page of results.",
        "schema": {
          "type": "string"
        }
      },
      "Limit": {
        "name": "limit",
        "in": "query",
        "required": false,
        "description": "Maximum number of items to return in a single page (1 to 100).",
        "schema": {
          "type": "integer",
          "minimum": 1,
          "maximum": 100,
          "default": 20
        }
      }
    }
  }
}