{
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    "result_detail",
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    "verification"
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        "area",
        "perimeter",
        "mode",
        "status",
        "solution_count",
        "solutions",
        "formula",
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        },
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          "x-unit-policy": "arbitrary_consistent_length",
          "x-uuce-role": "scalar"
        },
        "mode": {
          "enum": [
            "sss",
            "sas",
            "asa",
            "aas",
            "ssa"
          ]
        },
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                "type": "number",
                "exclusiveMinimum": 0,
                "exclusiveMaximum": 180,
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                "x-unit-id": "cx:deg",
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              "maxItems": 1
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            "solutions"
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        },
        {
          "properties": {
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          },
          "required": [
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      "required": [
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        "unit",
        "formatted"
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                  "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
                  "quantity_kind": "plane_angle",
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                    0,
                    0,
                    0,
                    0,
                    0,
                    0
                  ],
                  "registry_version": "0.3.0-preview.3",
                  "digest_contract": "calculatorx-unit-definition-digests-v2",
                  "registry_status": "preview",
                  "definition_lifecycle": "candidate",
                  "role": "scalar"
                }
              }
            },
            "quantity_policy": {
              "physical_unit_id": null,
              "input_policy": "Abstract consistent coordinate/length units; no physical unit is selected by this calculator.",
              "derived_policy": "Lengths inherit the input length unit U; areas U^2; volumes U^3. No implicit conversion or fixed metre binding.",
              "coefficient_policy": "Normalized implicit line/equation coefficients have equation-scale conventions, not universal physical unit IDs."
            }
          }
        },
        "value": {
          "type": "object",
          "additionalProperties": false,
          "required": [
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            "b",
            "c",
            "A_deg",
            "B_deg",
            "C_deg",
            "area",
            "perimeter",
            "mode",
            "status",
            "solution_count",
            "solutions",
            "formula",
            "model"
          ],
          "properties": {
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              "x-quantity-kind": "length",
              "x-dimension": [
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                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-unit-policy": "arbitrary_consistent_length",
              "x-uuce-role": "scalar"
            },
            "b": {
              "type": "number",
              "x-quantity-kind": "length",
              "x-dimension": [
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                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-unit-policy": "arbitrary_consistent_length",
              "x-uuce-role": "scalar"
            },
            "c": {
              "type": "number",
              "x-quantity-kind": "length",
              "x-dimension": [
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                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-unit-policy": "arbitrary_consistent_length",
              "x-uuce-role": "scalar"
            },
            "A_deg": {
              "type": "number",
              "x-unit": "deg",
              "x-unit-id": "cx:deg",
              "x-quantity-kind": "plane_angle",
              "x-role": "scalar",
              "x-dimension": [
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-uuce-unit": {
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                "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
                "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
                "quantity_kind": "plane_angle",
                "dimension": [
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                  0,
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                  0,
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                ],
                "registry_version": "0.3.0-preview.3",
                "digest_contract": "calculatorx-unit-definition-digests-v2",
                "registry_status": "preview",
                "definition_lifecycle": "candidate",
                "role": "scalar"
              }
            },
            "B_deg": {
              "type": "number",
              "x-unit": "deg",
              "x-unit-id": "cx:deg",
              "x-quantity-kind": "plane_angle",
              "x-role": "scalar",
              "x-dimension": [
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-uuce-unit": {
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                "revision": "1.0.0",
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                "quantity_kind": "plane_angle",
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                ],
                "registry_version": "0.3.0-preview.3",
                "digest_contract": "calculatorx-unit-definition-digests-v2",
                "registry_status": "preview",
                "definition_lifecycle": "candidate",
                "role": "scalar"
              }
            },
            "C_deg": {
              "type": "number",
              "x-unit": "deg",
              "x-unit-id": "cx:deg",
              "x-quantity-kind": "plane_angle",
              "x-role": "scalar",
              "x-dimension": [
                0,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-uuce-unit": {
                "unit_id": "cx:deg",
                "revision": "1.0.0",
                "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
                "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
                "quantity_kind": "plane_angle",
                "dimension": [
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                  0,
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                ],
                "registry_version": "0.3.0-preview.3",
                "digest_contract": "calculatorx-unit-definition-digests-v2",
                "registry_status": "preview",
                "definition_lifecycle": "candidate",
                "role": "scalar"
              }
            },
            "area": {
              "type": "number",
              "x-quantity-kind": "area",
              "x-dimension": [
                2,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-unit-policy": "input_length_unit_squared",
              "x-uuce-role": "scalar"
            },
            "perimeter": {
              "type": "number",
              "x-quantity-kind": "length",
              "x-dimension": [
                1,
                0,
                0,
                0,
                0,
                0,
                0
              ],
              "x-unit-policy": "arbitrary_consistent_length",
              "x-uuce-role": "scalar"
            },
            "mode": {
              "enum": [
                "sss",
                "sas",
                "asa",
                "aas",
                "ssa"
              ]
            },
            "status": {
              "enum": [
                "success",
                "multiple_solutions"
              ]
            },
            "solution_count": {
              "type": "integer",
              "minimum": 1,
              "maximum": 2
            },
            "solutions": {
              "type": "array",
              "minItems": 1,
              "maxItems": 2,
              "items": {
                "type": "object",
                "additionalProperties": false,
                "required": [
                  "a",
                  "b",
                  "c",
                  "A_deg",
                  "B_deg",
                  "C_deg",
                  "area",
                  "perimeter"
                ],
                "properties": {
                  "a": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "x-quantity-kind": "length",
                    "x-dimension": [
                      1,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-unit-policy": "arbitrary_consistent_length",
                    "x-uuce-role": "scalar"
                  },
                  "b": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "x-quantity-kind": "length",
                    "x-dimension": [
                      1,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-unit-policy": "arbitrary_consistent_length",
                    "x-uuce-role": "scalar"
                  },
                  "c": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "x-quantity-kind": "length",
                    "x-dimension": [
                      1,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-unit-policy": "arbitrary_consistent_length",
                    "x-uuce-role": "scalar"
                  },
                  "A_deg": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "exclusiveMaximum": 180,
                    "x-unit": "deg",
                    "x-unit-id": "cx:deg",
                    "x-quantity-kind": "plane_angle",
                    "x-role": "scalar",
                    "x-dimension": [
                      0,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-uuce-unit": {
                      "unit_id": "cx:deg",
                      "revision": "1.0.0",
                      "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
                      "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
                      "quantity_kind": "plane_angle",
                      "dimension": [
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                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      "registry_version": "0.3.0-preview.3",
                      "digest_contract": "calculatorx-unit-definition-digests-v2",
                      "registry_status": "preview",
                      "definition_lifecycle": "candidate",
                      "role": "scalar"
                    }
                  },
                  "B_deg": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "exclusiveMaximum": 180,
                    "x-unit": "deg",
                    "x-unit-id": "cx:deg",
                    "x-quantity-kind": "plane_angle",
                    "x-role": "scalar",
                    "x-dimension": [
                      0,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-uuce-unit": {
                      "unit_id": "cx:deg",
                      "revision": "1.0.0",
                      "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
                      "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
                      "quantity_kind": "plane_angle",
                      "dimension": [
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                        0,
                        0,
                        0,
                        0,
                        0,
                        0
                      ],
                      "registry_version": "0.3.0-preview.3",
                      "digest_contract": "calculatorx-unit-definition-digests-v2",
                      "registry_status": "preview",
                      "definition_lifecycle": "candidate",
                      "role": "scalar"
                    }
                  },
                  "C_deg": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "exclusiveMaximum": 180,
                    "x-unit": "deg",
                    "x-unit-id": "cx:deg",
                    "x-quantity-kind": "plane_angle",
                    "x-role": "scalar",
                    "x-dimension": [
                      0,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-uuce-unit": {
                      "unit_id": "cx:deg",
                      "revision": "1.0.0",
                      "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
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                      "dimension": [
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                        0,
                        0,
                        0,
                        0,
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                      "registry_version": "0.3.0-preview.3",
                      "digest_contract": "calculatorx-unit-definition-digests-v2",
                      "registry_status": "preview",
                      "definition_lifecycle": "candidate",
                      "role": "scalar"
                    }
                  },
                  "area": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "x-quantity-kind": "area",
                    "x-dimension": [
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                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-unit-policy": "input_length_unit_squared",
                    "x-uuce-role": "scalar"
                  },
                  "perimeter": {
                    "type": "number",
                    "exclusiveMinimum": 0,
                    "x-quantity-kind": "length",
                    "x-dimension": [
                      1,
                      0,
                      0,
                      0,
                      0,
                      0,
                      0
                    ],
                    "x-unit-policy": "arbitrary_consistent_length",
                    "x-uuce-role": "scalar"
                  }
                }
              }
            },
            "formula": {
              "type": "string"
            },
            "model": {
              "const": "euclidean_triangle"
            }
          },
          "oneOf": [
            {
              "properties": {
                "solution_count": {
                  "const": 1
                },
                "status": {
                  "const": "success"
                },
                "solutions": {
                  "minItems": 1,
                  "maxItems": 1
                }
              },
              "required": [
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                "status",
                "solutions"
              ]
            },
            {
              "properties": {
                "solution_count": {
                  "const": 2
                },
                "status": {
                  "const": "multiple_solutions"
                },
                "solutions": {
                  "minItems": 2,
                  "maxItems": 2
                }
              },
              "required": [
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                "status",
                "solutions"
              ]
            }
          ]
        },
        "unit": {
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            "string",
            "null"
          ]
        },
        "formatted": {
          "type": [
            "string",
            "null"
          ]
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      }
    },
    "formula": {
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        {
          "type": "null"
        },
        {
          "type": "string"
        },
        {
          "type": "object",
          "additionalProperties": false,
          "properties": {
            "id": {
              "type": "string"
            },
            "expression": {
              "type": "string"
            },
            "label": {
              "type": "string"
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          }
        }
      ]
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "warnings": {
      "type": "array",
      "items": {
        "type": "object",
        "additionalProperties": false,
        "required": [
          "code"
        ],
        "properties": {
          "code": {
            "type": "string"
          },
          "severity": {
            "type": "string"
          },
          "detail": {
            "type": "string"
          },
          "suggestion": {
            "type": "string"
          }
        }
      }
    },
    "verification": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "tier",
        "engine_tested",
        "expert_reviewed",
        "source_checked",
        "reviewed_by",
        "reviewer_role",
        "last_reviewed"
      ],
      "properties": {
        "tier": {
          "type": "string",
          "enum": [
            "candidate",
            "engine_tested",
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            "expert_verified"
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        },
        "engine_tested": {
          "type": "boolean"
        },
        "expert_reviewed": {
          "type": "boolean"
        },
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          "type": "boolean"
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        },
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          "type": "boolean"
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        "reviewed_by": {
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        },
        "reviewer_role": {
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        },
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            "null"
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        },
        "citation_kind": {
          "type": "string"
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        "expert_review": {
          "type": "string"
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        "domain_review": {
          "type": "string"
        },
        "calculation_version": {
          "type": "string"
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        "calc_tests": {
          "type": [
            "string",
            "null"
          ]
        },
        "tests_passed": {
          "type": [
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          ]
        },
        "tests_total": {
          "type": [
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            "null"
          ]
        },
        "artifact_contract": {
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            "string",
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          ]
        },
        "trust_peek": {
          "type": [
            "string",
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          ]
        },
        "verification_revision": {
          "type": "string"
        },
        "verified_scope": {
          "type": "string"
        },
        "evidence_digest": {
          "type": "string",
          "pattern": "^[a-f0-9]{64}$"
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      },
      "allOf": [
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          "if": {
            "properties": {
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                "const": "expert_verified"
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            },
            "required": [
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          },
          "then": {
            "properties": {
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                "const": true
              },
              "expert_reviewed": {
                "const": true
              },
              "source_checked": {
                "const": true
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          }
        },
        {
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                "const": "internally_reviewed"
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            },
            "required": [
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          },
          "then": {
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            "required": [
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          }
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      ]
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    "calculation_version": {
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    "spec_version": {
      "type": "string"
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    "page": {
      "type": [
        "string",
        "null"
      ],
      "description": "Canonical calculator page URL"
    },
    "links": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "schema_input": {
          "type": "string",
          "format": "uri"
        },
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          "format": "uri"
        },
        "evidence": {
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          "format": "uri"
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        "openapi": {
          "type": "string",
          "format": "uri"
        },
        "capabilities": {
          "type": "string",
          "format": "uri"
        },
        "mcp": {
          "type": "string",
          "format": "uri"
        }
      }
    }
  },
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    "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.",
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      },
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          ],
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          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
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        "unit": "deg",
        "reference": {
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          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "A": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
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          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "B": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "C": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      }
    },
    "outputs": {
      "A_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "B_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "C_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "solutions.*.A_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "solutions.*.B_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "solutions.*.C_deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      }
    },
    "quantity_policy": {
      "physical_unit_id": null,
      "input_policy": "Abstract consistent coordinate/length units; no physical unit is selected by this calculator.",
      "derived_policy": "Lengths inherit the input length unit U; areas U^2; volumes U^3. No implicit conversion or fixed metre binding.",
      "coefficient_policy": "Normalized implicit line/equation coefficients have equation-scale conventions, not universal physical unit IDs."
    }
  }
}