{
  "date": "2026-06-16",
  "scope": "Historical embedding-representation study; intrinsic metrics are not a validated taxonomy score.",
  "model": "text-embedding-3-large",
  "dim": 3072,
  "n": 5330,
  "arms": {
    "name": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.4058,
        "pairwise_cos_mean": 0.1643,
        "pairwise_cos_spread": 0.0669,
        "nn_margin": 1.1065,
        "effective_rank": 1867.1,
        "participation_ratio": 197.8,
        "intrinsic_dim_twonn": 1.38,
        "hopkins": 0.619,
        "variance_dims": {
          "0.9": 722,
          "0.95": 1102,
          "0.99": 1947
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0015,
        "pairwise_cos_spread": 0.0112,
        "nn_margin": 1.0309,
        "intrinsic_dim_twonn": 1.58
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.121,
        "expected_random": 0.003,
        "ratio": 37.4
      }
    },
    "sentence": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.3313,
        "pairwise_cos_mean": 0.1095,
        "pairwise_cos_spread": 0.0832,
        "nn_margin": 1.0,
        "effective_rank": 1214.4,
        "participation_ratio": 125.5,
        "intrinsic_dim_twonn": 0.11,
        "hopkins": 0.898,
        "variance_dims": {
          "0.9": 472,
          "0.95": 705,
          "0.99": 1227
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0274,
        "pairwise_cos_spread": 0.0228,
        "nn_margin": 1.0,
        "intrinsic_dim_twonn": 0.09
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.571,
        "expected_random": 0.003,
        "ratio": 177.0
      }
    },
    "name_sentence": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.3686,
        "pairwise_cos_mean": 0.1356,
        "pairwise_cos_spread": 0.0791,
        "nn_margin": 1.2525,
        "effective_rank": 1616.7,
        "participation_ratio": 133.4,
        "intrinsic_dim_twonn": 5.08,
        "hopkins": 0.713,
        "variance_dims": {
          "0.9": 538,
          "0.95": 833,
          "0.99": 1582
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0017,
        "pairwise_cos_spread": 0.0119,
        "nn_margin": 1.0794,
        "intrinsic_dim_twonn": 16.0
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.583,
        "expected_random": 0.003,
        "ratio": 180.8
      }
    },
    "marked": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.3539,
        "pairwise_cos_mean": 0.125,
        "pairwise_cos_spread": 0.0829,
        "nn_margin": 1.2755,
        "effective_rank": 1518.1,
        "participation_ratio": 123.2,
        "intrinsic_dim_twonn": 3.23,
        "hopkins": 0.765,
        "variance_dims": {
          "0.9": 496,
          "0.95": 764,
          "0.99": 1441
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0043,
        "pairwise_cos_spread": 0.0125,
        "nn_margin": 1.1007,
        "intrinsic_dim_twonn": 9.72
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.602,
        "expected_random": 0.003,
        "ratio": 186.6
      }
    },
    "gloss": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.3514,
        "pairwise_cos_mean": 0.123,
        "pairwise_cos_spread": 0.0682,
        "nn_margin": 1.1276,
        "effective_rank": 1767.1,
        "participation_ratio": 193.9,
        "intrinsic_dim_twonn": 1.2,
        "hopkins": 0.622,
        "variance_dims": {
          "0.9": 650,
          "0.95": 994,
          "0.99": 1800
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0015,
        "pairwise_cos_spread": 0.0113,
        "nn_margin": 1.0311,
        "intrinsic_dim_twonn": 1.35
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.152,
        "expected_random": 0.003,
        "ratio": 47.3
      }
    },
    "name_gloss": {
      "raw": {
        "n": 5330,
        "dim": 3072,
        "anisotropy_centroid": 0.3928,
        "pairwise_cos_mean": 0.1538,
        "pairwise_cos_spread": 0.0662,
        "nn_margin": 1.1137,
        "effective_rank": 1769.0,
        "participation_ratio": 200.6,
        "intrinsic_dim_twonn": 1.16,
        "hopkins": 0.619,
        "variance_dims": {
          "0.9": 653,
          "0.95": 999,
          "0.99": 1803
        }
      },
      "whitened": {
        "anisotropy_centroid": 0.0015,
        "pairwise_cos_spread": 0.0112,
        "nn_margin": 1.0302,
        "intrinsic_dim_twonn": 1.31
      },
      "chunk_collapse": {
        "nn_same_chunk": 0.148,
        "expected_random": 0.003,
        "ratio": 46.0
      }
    }
  },
  "sources": [
    {
      "artifact": "embedding-representation/results.json",
      "sha256": "87fb100f77c488139999af6248b2fb9892a227b3941352d17606e89089b1b157"
    },
    {
      "artifact": "embedding-representation/run.py",
      "sha256": "5f41651a9e94f3e7fa131a39ee5e80d42ff4396c41e0acdbe0fbb7006ad32c5c"
    }
  ]
}