{
  "model": "EleutherAI/pythia-410m",
  "theta": 10000,
  "gamma_pred": 0.99999561666838,
  "C_theory": 9.2103,
  "distances": [
    10,
    20,
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "distances_fit": [
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "d_min_fit": 30,
  "n_prompts_per_distance": 150,
  "seeds": [
    42,
    123,
    7
  ],
  "attn_by_distance": {
    "10": {
      "mean_across_seeds": 0.010637531184022211,
      "std_across_seeds": 0.0009754603695845838,
      "per_seed_means": [
        0.011129466105097284,
        0.009275416589807718,
        0.01150771085716163
      ]
    },
    "20": {
      "mean_across_seeds": 0.007524669199354119,
      "std_across_seeds": 0.0003411354121354146,
      "per_seed_means": [
        0.007683635454935332,
        0.007050715095053116,
        0.007839657048073908
      ]
    },
    "30": {
      "mean_across_seeds": 0.004181321816156721,
      "std_across_seeds": 0.0005739251464089627,
      "per_seed_means": [
        0.004148942732523816,
        0.0034951590199489148,
        0.004899863695997434
      ]
    },
    "50": {
      "mean_across_seeds": 0.0032434275430083897,
      "std_across_seeds": 0.00038951675769930105,
      "per_seed_means": [
        0.0033627199286517377,
        0.0027180432780490567,
        0.003649519422324374
      ]
    },
    "100": {
      "mean_across_seeds": 0.001533225679288282,
      "std_across_seeds": 0.00015696365531593024,
      "per_seed_means": [
        0.0016638820634883207,
        0.0013124849214606609,
        0.0016233100529158644
      ]
    },
    "200": {
      "mean_across_seeds": 0.000936404794475594,
      "std_across_seeds": 0.00014957001750693787,
      "per_seed_means": [
        0.0009389797098507794,
        0.0007519457981591889,
        0.0011182888754168137
      ]
    },
    "500": {
      "mean_across_seeds": 0.0003803397886238397,
      "std_across_seeds": 4.863341317573991e-05,
      "per_seed_means": [
        0.00040086741908453407,
        0.0003132272653480565,
        0.00042692468143892863
      ]
    },
    "1000": {
      "mean_across_seeds": 0.0001626184749986553,
      "std_across_seeds": 1.772572747902181e-05,
      "per_seed_means": [
        0.00017353555046308126,
        0.00013761728597576925,
        0.00017670258855711533
      ]
    },
    "2000": {
      "mean_across_seeds": 5.13333430424407e-05,
      "std_across_seeds": 3.9984125574520355e-06,
      "per_seed_means": [
        5.496963710811542e-05,
        4.5764998872073194e-05,
        5.3265393147133486e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 1.0218530106365162,
    "log_A": -1.7669627940483377,
    "R2": 0.981594,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0020820749808360484,
    "log_A": -6.151337865679417,
    "R2": 0.878237,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.1034,
  "gamma_CI_95": {
    "lo": 0.846278741222938,
    "hi": 1.1560602030295848
  },
  "decision": "CONFIRMED: \u03b3 law holds (\u03b3\u00d7ln(\u03b8) = C)"
}