{
  "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": 0.009754525538430446,
      "std_across_seeds": 0.0003722593944128235,
      "per_seed_means": [
        0.009823903981596232,
        0.009267889905410508,
        0.010171782728284597
      ]
    },
    "20": {
      "mean_across_seeds": 0.009123972739713887,
      "std_across_seeds": 0.0007766048034381784,
      "per_seed_means": [
        0.010081037391598026,
        0.008178864621246855,
        0.009112016206296782
      ]
    },
    "30": {
      "mean_across_seeds": 0.0038759738756602422,
      "std_across_seeds": 8.204626140183602e-05,
      "per_seed_means": [
        0.0038872477606249354,
        0.003770326642940442,
        0.0039703472234153495
      ]
    },
    "50": {
      "mean_across_seeds": 0.0032870457074346223,
      "std_across_seeds": 7.352391975717852e-05,
      "per_seed_means": [
        0.0032759768589554973,
        0.0033821164964077375,
        0.0032030437669406334
      ]
    },
    "100": {
      "mean_across_seeds": 0.0016699490632163362,
      "std_across_seeds": 4.519511018857947e-05,
      "per_seed_means": [
        0.0017094237510658179,
        0.001693745714534695,
        0.0016066777240484954
      ]
    },
    "200": {
      "mean_across_seeds": 0.001006049710429377,
      "std_across_seeds": 1.7124807153708726e-05,
      "per_seed_means": [
        0.0010300154409681758,
        0.0009970870024214188,
        0.0009910466878985365
      ]
    },
    "500": {
      "mean_across_seeds": 0.0004026397552903897,
      "std_across_seeds": 2.1794816158143854e-05,
      "per_seed_means": [
        0.0004279522445479718,
        0.0003747526396182366,
        0.00040521438170496065
      ]
    },
    "1000": {
      "mean_across_seeds": 0.0001901201162480801,
      "std_across_seeds": 1.22550448532374e-05,
      "per_seed_means": [
        0.00018012737991133083,
        0.00020737976708915085,
        0.0001828532017437586
      ]
    },
    "2000": {
      "mean_across_seeds": 7.827874543484844e-05,
      "std_across_seeds": 3.882609187098134e-06,
      "per_seed_means": [
        7.300645292464954e-05,
        8.224311603650373e-05,
        7.958666734339203e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9362347719713631,
    "log_A": -2.126749270781839,
    "R2": 0.987529,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.001877382921682511,
    "log_A": -6.160531693807699,
    "R2": 0.855756,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.1318,
  "gamma_CI_95": {
    "lo": 0.7880672419289397,
    "hi": 1.0390619514918187
  },
  "decision": "CONFIRMED: \u03b3 law holds (\u03b3\u00d7ln(\u03b8) = C)"
}