{
 "schema": "qotsa-arc-trajectories-v1",
 "status": "exploratory_post_hoc",
 "inputs": {
  "segments_sha256": "97a49641f529467e6ec69d6795eb62b090541aed4897c2aa7e22547d11aa78a3",
  "blocks": 513,
  "songs": 88,
  "songs_with_two_blocks": 1
 },
 "representations": {
  "small": "OpenAI small",
  "large": "OpenAI large",
  "e5_large": "E5 large instruct",
  "e5_small": "E5 small",
  "minilm": "MiniLM multilingüe",
  "tfidf": "TF–IDF (léxico)",
  "small_256": "OpenAI small · 256",
  "small_512": "OpenAI small · 512",
  "small_1536": "OpenAI small · 1536 (nativa)",
  "large_256": "OpenAI large · 256",
  "large_512": "OpenAI large · 512",
  "large_3072": "OpenAI large · 3072 (nativa)"
 },
 "main_representations": [
  "small",
  "large",
  "e5_large",
  "e5_small",
  "minilm",
  "tfidf"
 ],
 "local_models": {
  "e5_large": {
   "model": "intfloat/multilingual-e5-large-instruct",
   "prefix": "Instruct: Represent the situation, speaker stance and action of this song passage.\nQuery: "
  },
  "e5_small": {
   "model": "intfloat/multilingual-e5-small",
   "prefix": "query: "
  },
  "minilm": {
   "model": "sentence-transformers/paraphrase-multilingual-MiniLM-L12-v2",
   "prefix": ""
  }
 },
 "definitions": {
  "distance": "1 - cosine between unit vectors of stanza blocks",
  "return_ratio": "distance(first block, last block) / mean pairwise distance of the song; <1 ends near the start (loop), >1 ends far (arc).",
  "drift_percentile": "Percentile of the Spearman correlation between block lag and distance, against all reorderings of the same blocks (exhaustive up to 6 blocks, 2000 random otherwise). 0.5 = order does not matter; near 1 = distance grows with lag (progressive departure).",
  "novelty": "Mean over blocks 2..k of the distance to the nearest earlier block, divided by the mean pairwise distance.",
  "recurrence": "Share of blocks 2..k whose nearest earlier block is closer than half the mean pairwise distance (returns to earlier material).",
  "era_test": "Median late minus median early; era labels permuted within terciles of block count.",
  "pca": "Catalogue PCA on all blocks; within-song PCA on block deviations from each song mean, paths translated to start at the origin. Planes are for viewing; statistics use full dimensions."
 },
 "songs": {
  "Q1998T01": {
   "year": 1998,
   "title": "Regular John",
   "blocks": 6,
   "both_readers_arc": false,
   "small": {
    "blocks": 6,
    "mean_pair_distance": 0.49382,
    "return_ratio": 1.5163,
    "novelty": 0.7163,
    "novelty_profile": [
     1.1964,
     0.7738,
     0.5196,
     0.5024,
     0.5893
    ],
    "recurrence": 0.0,
    "drift_rho": 0.5072,
    "drift_percentile": 0.9597
   },
   "large": {
    "blocks": 6,
    "mean_pair_distance": 0.48625,
    "return_ratio": 1.4579,
    "novelty": 0.7543,
    "novelty_profile": [
     1.176,
     0.8362,
     0.5198,
     0.5867,
     0.6529
    ],
    "recurrence": 0.0,
    "drift_rho": 0.5164,
    "drift_percentile": 0.9653
   },
   "e5_large": {
    "blocks": 6,
    "mean_pair_distance": 0.05769,
    "return_ratio": 1.404,
    "novelty": 0.7632,
    "novelty_profile": [
     1.1474,
     0.9948,
     0.6116,
     0.5075,
     0.5547
    ],
    "recurrence": 0.0,
    "drift_rho": 0.4961,
    "drift_percentile": 0.9569
   },
   "e5_small": {
    "blocks": 6,
    "mean_pair_distance": 0.13689,
    "return_ratio": 1.5651,
    "novelty": 0.764,
    "novelty_profile": [
     1.0837,
     0.9092,
     0.4123,
     0.5396,
     0.8752
    ],
    "recurrence": 0.2,
    "drift_rho": 0.5625,
    "drift_percentile": 0.9819
   },
   "minilm": {
    "blocks": 6,
    "mean_pair_distance": 0.53691,
    "return_ratio": 1.4133,
    "novelty": 0.7354,
    "novelty_profile": [
     1.3021,
     0.8242,
     0.6779,
     0.4664,
     0.4064
    ],
    "recurrence": 0.4,
    "drift_rho": 0.4039,
    "drift_percentile": 0.8958
   },
   "tfidf": {
    "blocks": 6,
    "mean_pair_distance": 0.71858,
    "return_ratio": 1.3459,
    "novelty": 0.7981,
    "novelty_profile": [
     1.3343,
     1.2155,
     0.4662,
     0.5524,
     0.4219
    ],
    "recurrence": 0.4,
    "drift_rho": 0.3486,
    "drift_percentile": 0.8819
   },
   "small_256": {
    "blocks": 6,
    "mean_pair_distance": 0.47529,
    "return_ratio": 1.4947,
    "novelty": 0.7132,
    "novelty_profile": [
     1.2071,
     0.7606,
     0.4963,
     0.5784,
     0.5236
    ],
    "recurrence": 0.2,
    "drift_rho": 0.5182,
    "drift_percentile": 0.9625
   },
   "small_512": {
    "blocks": 6,
    "mean_pair_distance": 0.48139,
    "return_ratio": 1.534,
    "novelty": 0.7072,
    "novelty_profile": [
     1.1912,
     0.7308,
     0.4979,
     0.5243,
     0.5918
    ],
    "recurrence": 0.2,
    "drift_rho": 0.5035,
    "drift_percentile": 0.9569
   },
   "small_1536": {
    "blocks": 6,
    "mean_pair_distance": 0.50416,
    "return_ratio": 1.5441,
    "novelty": 0.7159,
    "novelty_profile": [
     1.2212,
     0.7573,
     0.5086,
     0.5015,
     0.5909
    ],
    "recurrence": 0.0,
    "drift_rho": 0.5293,
    "drift_percentile": 0.9597
   },
   "large_256": {
    "blocks": 6,
    "mean_pair_distance": 0.4603,
    "return_ratio": 1.5254,
    "novelty": 0.7152,
    "novelty_profile": [
     1.1808,
     0.7195,
     0.528,
     0.583,
     0.5647
    ],
    "recurrence": 0.0,
    "drift_rho": 0.5459,
    "drift_percentile": 0.9681
   },
   "large_512": {
    "blocks": 6,
    "mean_pair_distance": 0.47742,
    "return_ratio": 1.4693,
    "novelty": 0.7423,
    "novelty_profile": [
     1.1484,
     0.7929,
     0.5704,
     0.5839,
     0.6157
    ],
    "recurrence": 0.0,
    "drift_rho": 0.533,
    "drift_percentile": 0.9653
   },
   "large_3072": {
    "blocks": 6,
    "mean_pair_distance": 0.51569,
    "return_ratio": 1.4758,
    "novelty": 0.7505,
    "novelty_profile": [
     1.1405,
     0.821,
     0.5132,
     0.6107,
     0.6673
    ],
    "recurrence": 0.0,
    "drift_rho": 0.533,
    "drift_percentile": 0.9653
   }
  },
  "Q1998T02": {
   "year": 1998,
   "title": "Avon",
   "blocks": 5,
   "both_readers_arc": false,
   "small": {
    "blocks": 5,
    "mean_pair_distance": 0.53494,
    "return_ratio": 1.2744,
    "novelty": 0.7924,
    "novelty_profile": [
     1.1625,
     1.0159,
     0.2542,
     0.7368
    ],
    "recurrence": 0.25,
    "drift_rho": 0.2352,
    "drift_percentile": 0.75
   },
   "large": {
    "blocks": 5,
    "mean_pair_distance": 0.56638,
    "return_ratio": 1.3299,
    "novelty": 0.8058,
    "novelty_profile": [
     1.2329,
     0.8106,
     0.2964,
     0.8835
    ],
    "recurrence": 0.25,
    "drift_rho": 0.3623,
    "drift_percentile": 0.8833
   },
   "e5_large": {
    "blocks": 5,
    "mean_pair_distance": 0.06481,
    "return_ratio": 1.2655,
    "novelty": 0.7791,
    "novelty_profile": [
     1.4647,
     0.9366,
     0.203,
     0.5121
    ],
    "recurrence": 0.25,
    "drift_rho": 0.0318,
    "drift_percentile": 0.5083
   },
   "e5_small": {
    "blocks": 5,
    "mean_pair_distance": 0.15027,
    "return_ratio": 1.2192,
    "novelty": 0.7995,
    "novelty_profile": [
     1.0846,
     1.0429,
     0.1439,
     0.9267
    ],
    "recurrence": 0.25,
    "drift_rho": 0.0381,
    "drift_percentile": 0.6083
   },
   "minilm": {
    "blocks": 5,
    "mean_pair_distance": 0.61857,
    "return_ratio": 1.408,
    "novelty": 0.7389,
    "novelty_profile": [
     1.4546,
     1.052,
     0.0743,
     0.3747
    ],
    "recurrence": 0.5,
    "drift_rho": 0.2034,
    "drift_percentile": 0.7083
   },
   "tfidf": {
    "blocks": 5,
    "mean_pair_distance": 0.7319,
    "return_ratio": 1.3663,
    "novelty": 0.7251,
    "novelty_profile": [
     1.3663,
     1.1694,
     0.1201,
     0.2447
    ],
    "recurrence": 0.5,
    "drift_rho": 0.2574,
    "drift_percentile": 0.7583
   },
   "small_256": {
    "blocks": 5,
    "mean_pair_distance": 0.50461,
    "return_ratio": 1.3335,
    "novelty": 0.768,
    "novelty_profile": [
     1.0877,
     1.0164,
     0.273,
     0.6949
    ],
    "recurrence": 0.25,
    "drift_rho": 0.2352,
    "drift_percentile": 0.7583
   },
   "small_512": {
    "blocks": 5,
    "mean_pair_distance": 0.51749,
    "return_ratio": 1.3302,
    "novelty": 0.7776,
    "novelty_profile": [
     1.1498,
     0.9909,
     0.2494,
     0.7202
    ],
    "recurrence": 0.25,
    "drift_rho": 0.3115,
    "drift_percentile": 0.825
   },
   "small_1536": {
    "blocks": 5,
    "mean_pair_distance": 0.53947,
    "return_ratio": 1.2872,
    "novelty": 0.7926,
    "novelty_profile": [
     1.1489,
     1.0177,
     0.257,
     0.7469
    ],
    "recurrence": 0.25,
    "drift_rho": 0.3115,
    "drift_percentile": 0.825
   },
   "large_256": {
    "blocks": 5,
    "mean_pair_distance": 0.52802,
    "return_ratio": 1.2979,
    "novelty": 0.8022,
    "novelty_profile": [
     1.1787,
     0.7681,
     0.2779,
     0.984
    ],
    "recurrence": 0.25,
    "drift_rho": 0.375,
    "drift_percentile": 0.8833
   },
   "large_512": {
    "blocks": 5,
    "mean_pair_distance": 0.56564,
    "return_ratio": 1.262,
    "novelty": 0.8015,
    "novelty_profile": [
     1.2232,
     0.7877,
     0.2934,
     0.9016
    ],
    "recurrence": 0.25,
    "drift_rho": 0.3687,
    "drift_percentile": 0.8917
   },
   "large_3072": {
    "blocks": 5,
    "mean_pair_distance": 0.5773,
    "return_ratio": 1.3144,
    "novelty": 0.8108,
    "novelty_profile": [
     1.2221,
     0.8335,
     0.2996,
     0.888
    ],
    "recurrence": 0.25,
    "drift_rho": 0.3623,
    "drift_percentile": 0.8833
   }
  },
  "Q1998T03": {
   "year": 1998,
   "title": "If Only",
   "blocks": 4,
   "both_readers_arc": false,
   "small": {
    "blocks": 4,
    "mean_pair_distance": 0.37955,
    "return_ratio": 1.313,
    "novelty": 0.8681,
    "novelty_profile": [
     1.2356,
     0.5386,
     0.83
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "large": {
    "blocks": 4,
    "mean_pair_distance": 0.38687,
    "return_ratio": 1.3561,
    "novelty": 0.8398,
    "novelty_profile": [
     1.205,
     0.6932,
     0.6211
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.625
   },
   "e5_large": {
    "blocks": 4,
    "mean_pair_distance": 0.04052,
    "return_ratio": 1.0126,
    "novelty": 0.9096,
    "novelty_profile": [
     1.4617,
     0.5122,
     0.755
    ],
    "recurrence": 0.0,
    "drift_rho": -0.432,
    "drift_percentile": 0.2917
   },
   "e5_small": {
    "blocks": 4,
    "mean_pair_distance": 0.09368,
    "return_ratio": 1.3348,
    "novelty": 0.8922,
    "novelty_profile": [
     1.1879,
     0.662,
     0.8265
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "minilm": {
    "blocks": 4,
    "mean_pair_distance": 0.47048,
    "return_ratio": 1.432,
    "novelty": 0.8273,
    "novelty_profile": [
     1.1677,
     0.543,
     0.7713
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "tfidf": {
    "blocks": 4,
    "mean_pair_distance": 0.58227,
    "return_ratio": 1.182,
    "novelty": 0.9344,
    "novelty_profile": [
     1.427,
     0.8193,
     0.5569
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0617,
    "drift_percentile": 0.5417
   },
   "small_256": {
    "blocks": 4,
    "mean_pair_distance": 0.3908,
    "return_ratio": 1.3755,
    "novelty": 0.8431,
    "novelty_profile": [
     1.1269,
     0.5587,
     0.8438
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.625
   },
   "small_512": {
    "blocks": 4,
    "mean_pair_distance": 0.36943,
    "return_ratio": 1.2913,
    "novelty": 0.8712,
    "novelty_profile": [
     1.2211,
     0.534,
     0.8583
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "small_1536": {
    "blocks": 4,
    "mean_pair_distance": 0.38082,
    "return_ratio": 1.3046,
    "novelty": 0.8644,
    "novelty_profile": [
     1.2239,
     0.534,
     0.8352
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "large_256": {
    "blocks": 4,
    "mean_pair_distance": 0.37433,
    "return_ratio": 1.3464,
    "novelty": 0.8022,
    "novelty_profile": [
     1.0571,
     0.7261,
     0.6233
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   },
   "large_512": {
    "blocks": 4,
    "mean_pair_distance": 0.38739,
    "return_ratio": 1.3476,
    "novelty": 0.8303,
    "novelty_profile": [
     1.1538,
     0.6765,
     0.6606
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.625
   },
   "large_3072": {
    "blocks": 4,
    "mean_pair_distance": 0.4034,
    "return_ratio": 1.3373,
    "novelty": 0.8389,
    "novelty_profile": [
     1.2183,
     0.6627,
     0.6358
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0,
    "drift_percentile": 0.5417
   }
  },
  "Q1998T04": {
   "year": 1998,
   "title": "Walkin on the Sidewalks",
   "blocks": 4,
   "both_readers_arc": false,
   "small": {
    "blocks": 4,
    "mean_pair_distance": 0.53776,
    "return_ratio": 1.1383,
    "novelty": 0.8998,
    "novelty_profile": [
     1.1819,
     0.8425,
     0.6749
    ],
    "recurrence": 0.0,
    "drift_rho": -0.0309,
    "drift_percentile": 0.5417
   },
   "large": {
    "blocks": 4,
    "mean_pair_distance": 0.52006,
    "return_ratio": 1.2961,
    "novelty": 0.884,
    "novelty_profile": [
     1.163,
     0.7914,
     0.6977
    ],
    "recurrence": 0.0,
    "drift_rho": 0.3086,
    "drift_percentile": 0.7917
   },
   "e5_large": {
    "blocks": 4,
    "mean_pair_distance": 0.06783,
    "return_ratio": 1.2857,
    "novelty": 0.8827,
    "novelty_profile": [
     1.1486,
     0.9389,
     0.5604
    ],
    "recurrence": 0.0,
    "drift_rho": 0.1543,
    "drift_percentile": 0.625
   },
   "e5_small": {
    "blocks": 4,
    "mean_pair_distance": 0.1333,
    "return_ratio": 1.2422,
    "novelty": 0.8709,
    "novelty_profile": [
     1.1329,
     0.8206,
     0.6592
    ],
    "recurrence": 0.0,
    "drift_rho": 0.1543,
    "drift_percentile": 0.625
   },
   "minilm": {
    "blocks": 4,
    "mean_pair_distance": 0.60577,
    "return_ratio": 1.1722,
    "novelty": 0.9041,
    "novelty_profile": [
     1.2469,
     0.9805,
     0.4848
    ],
    "recurrence": 0.3333,
    "drift_rho": 0.0617,
    "drift_percentile": 0.5417
   },
   "tfidf": {
    "blocks": 4,
    "mean_pair_distance": 0.84012,
    "return_ratio": 1.1681,
    "novelty": 0.8586,
    "novelty_profile": [
     1.1792,
     0.7826,
     0.614
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0617,
    "drift_percentile": 0.5417
   },
   "small_256": {
    "blocks": 4,
    "mean_pair_distance": 0.48874,
    "return_ratio": 1.0469,
    "novelty": 0.8959,
    "novelty_profile": [
     1.1616,
     0.8688,
     0.6572
    ],
    "recurrence": 0.0,
    "drift_rho": -0.2777,
    "drift_percentile": 0.2083
   },
   "small_512": {
    "blocks": 4,
    "mean_pair_distance": 0.50439,
    "return_ratio": 1.1232,
    "novelty": 0.8943,
    "novelty_profile": [
     1.1755,
     0.8359,
     0.6716
    ],
    "recurrence": 0.0,
    "drift_rho": -0.0309,
    "drift_percentile": 0.5417
   },
   "small_1536": {
    "blocks": 4,
    "mean_pair_distance": 0.54141,
    "return_ratio": 1.1491,
    "novelty": 0.8998,
    "novelty_profile": [
     1.189,
     0.8378,
     0.6726
    ],
    "recurrence": 0.0,
    "drift_rho": 0.0617,
    "drift_percentile": 0.5417
   },
   "large_256": {
    "blocks": 4,
    "mean_pair_distance": 0.47076,
    "return_ratio": 1.2335,
    "novelty": 0.8883,
    "novelty_profile": [
     1.2065,
     0.7616,
     0.6968
    ],
    "recurrence": 0.0,
    "drift_rho": 0.3086,
    "drift_percentile": 0.7917
   },
   "large_512": {
    "blocks": 4,
    "mean_pair_distance": 0.51263,
    "return_ratio": 1.2877,
    "novelty": 0.8921,
    "novelty_profile": [
     1.2113,
     0.7813,
     0.6837
    ],
    "recurrence": 0.0,
    "drift_rho": 0.3086,
    "drift_percentile": 0.7917
   },
   "large_3072": {
    "blocks": 4,
    "mean_pair_distance": 0.55118,
    "return_ratio": 1.266,
    "novelty": 0.8784,
    "novelty_profile": [
     1.1238,
     0.8096,
     0.7018
    ],
    "recurrence": 0.0,
    "drift_rho": 0.1543,
    "drift_percentile": 0.625
   }
  },
  "Q1998T05": {
   "year": 1998,
   "title": "You Would Know",
   "blocks": 6,
   "both_readers_arc": false,
   "small": {
    "blocks": 6,
    "mean_pair_distance": 0.51084,
    "return_ratio": 1.2927,
    "novelty": 0.6934,
    "novelty_profile": [
     1.0017,
     1.0855,
     1.2551,
     0.1,
     0.0247
    ],
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     {
      "year": 2007,
      "nearest": 2023
     },
     {
      "year": 2013,
      "nearest": 2023
     },
     {
      "year": 2017,
      "nearest": 2023
     },
     {
      "year": 2023,
      "nearest": 2013
     }
    ],
    "adjacent_nearest": 4
   },
   "centroid_pc1_year_spearman": 0.571,
   "centroid_pc2_year_spearman": 0.81
  }
 }
}