{
  "status": "PASS",
  "checks": [
    "Exact interpolation",
    "Minimum-norm closed form",
    "Duplicate covariance risk invariant while coordinate norm shrinks"
  ],
  "empirical_benchmark": false,
  "source_proofs_verified": false,
  "figures": [
    {
      "id": "small-direction-risk",
      "kind": "analytical_curve",
      "caption": "Exact author-constructed X=diag(1,epsilon), y=(0,1), zero target, identity test covariance: prediction risk epsilon^-2. Fixed design, no IID benchmark.",
      "x": {
        "name": "Small observed scale epsilon",
        "values": [
          0.05,
          0.1,
          0.2,
          0.5,
          1.0
        ]
      },
      "series": [
        {
          "name": "Prediction risk",
          "values": [
            399.99999999999994,
            99.99999999999999,
            24.999999999999996,
            4.0,
            1.0
          ]
        }
      ]
    },
    {
      "id": "independent-vs-duplicate",
      "kind": "analytical_curve",
      "caption": "Author-constructed epsilon=alpha=.1. Independent coordinate model risk 1/(epsilon²+k alpha²); exact duplicate train/test feature model preserves risk 100. Different declared covariance models, no trained-network experiment.",
      "x": {
        "name": "Additional coordinates k",
        "values": [
          0,
          1,
          3,
          7,
          15
        ]
      },
      "series": [
        {
          "name": "Independent coordinates",
          "values": [
            100.0,
            50.0,
            25.0,
            12.5,
            6.25
          ]
        },
        {
          "name": "Duplicate-feature risk",
          "values": [
            100.0,
            100.0,
            100.0,
            100.0,
            100.0
          ]
        }
      ]
    }
  ],
  "verification_code_sha256": "30bc0b9a195f96ec8ef7a02b66c1950548f48ef2d340227a96bd19104fcf466a",
  "execution_date": "2026-10-28",
  "standalone_no_filesystem_mutation_verified": true
}