{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "distance_matrix.schema.json",
  "title": "State-State Distance Matrix",
  "description": "Precomputed pairwise civilizational distances over multiple metrics.",
  "type": "object",
  "required": ["metric", "labels", "matrix"],
  "properties": {
    "metric": {
      "type": "string",
      "enum": [
        "d_viz",
        "d_score_euclidean",
        "d_score_mahalanobis",
        "d_w_cosine",
        "d_w_js",
        "d_w_wasserstein",
        "d_T_frobenius",
        "d_hybrid"
      ]
    },
    "labels": {
      "type": "array",
      "items": { "type": "string", "minLength": 3, "maxLength": 3 }
    },
    "matrix": {
      "type": "array",
      "items": {
        "type": "array",
        "items": { "type": "number", "minimum": 0 }
      }
    },
    "hybrid_weights": {
      "type": "object",
      "properties": {
        "alpha": { "type": "number", "minimum": 0, "maximum": 1 },
        "beta": { "type": "number", "minimum": 0, "maximum": 1 },
        "gamma": { "type": "number", "minimum": 0, "maximum": 1 }
      }
    }
  }
}