{
  "model": "EleutherAI/pythia-1b",
  "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": 0.010958388174573582,
      "std_across_seeds": 0.0004834559168031873,
      "per_seed_means": [
        0.011297275526449085,
        0.010274686822667719,
        0.011303202174603939
      ]
    },
    "20": {
      "mean_across_seeds": 0.006365462491909664,
      "std_across_seeds": 4.797004634512219e-05,
      "per_seed_means": [
        0.006431558985883991,
        0.006319180646290382,
        0.006345647843554616
      ]
    },
    "30": {
      "mean_across_seeds": 0.003956688532812728,
      "std_across_seeds": 0.00041444934898881186,
      "per_seed_means": [
        0.003707738428687056,
        0.003621630910784006,
        0.0045406962589671215
      ]
    },
    "50": {
      "mean_across_seeds": 0.0027740057195640272,
      "std_across_seeds": 0.00017409472550222068,
      "per_seed_means": [
        0.0028004927871127924,
        0.0025487780198454857,
        0.0029727463517338036
      ]
    },
    "100": {
      "mean_across_seeds": 0.0014326052833348512,
      "std_across_seeds": 4.960638948465883e-05,
      "per_seed_means": [
        0.0014700610004365444,
        0.001362506297106544,
        0.0014652485524614652
      ]
    },
    "200": {
      "mean_across_seeds": 0.0006671193842258718,
      "std_across_seeds": 0.00014972843939483376,
      "per_seed_means": [
        0.00054337820969522,
        0.0005801813707997401,
        0.0008777985721826554
      ]
    },
    "500": {
      "mean_across_seeds": 0.00020134633510477014,
      "std_across_seeds": 1.977215748224994e-05,
      "per_seed_means": [
        0.00018427866821487746,
        0.00019069870933890342,
        0.0002290616277605295
      ]
    },
    "1000": {
      "mean_across_seeds": 0.00015050364037354788,
      "std_across_seeds": 1.545945974564147e-05,
      "per_seed_means": [
        0.00014964959894617398,
        0.00016985010355710984,
        0.0001320112186173598
      ]
    },
    "2000": {
      "mean_across_seeds": 0.00010232122304538885,
      "std_across_seeds": 6.657508586021642e-06,
      "per_seed_means": [
        0.00010441893401245276,
        0.00010922116227447987,
        9.332357284923395e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9311078627189842,
    "log_A": -2.350543685121484,
    "R2": 0.983104,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.001683695888726774,
    "log_A": -6.4638962346156505,
    "R2": 0.692773,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2903,
  "gamma_CI_95": {
    "lo": 0.8649963102497168,
    "hi": 1.0919504310156105
  },
  "decision": "CONFIRMED: \u03b3 law holds (\u03b3\u00d7ln(\u03b8) = C)"
}