{
  "schema": "404kin-pareto-art-study-v1",
  "alpha": 1.160964047443681,
  "beta": 0.1386468838532139,
  "pareto_type": "I",
  "scale": 1,
  "lorenz": "L(p)=1-(1-p)^beta",
  "tail_share": "S(q)=q^beta",
  "inverse_lorenz": "p=1-(1-u)^(1/beta)",
  "top20_share": 0.8,
  "top1_share": 0.5280879189889731,
  "mean_is_finite": true,
  "variance_is_finite": false,
  "population_bin_count": 100,
  "bin_weights": [
    0.0013924773502384127,
    0.0014046458056199515,
    0.0014170464080686053,
    0.0014296860363780866,
    0.001442571847284503,
    0.0014557112897548947,
    0.001469112120170939,
    0.0014827824184740386,
    0.001496730605344063,
    0.0015109654604898333,
    0.0015254961421366196,
    0.0015403322078034742,
    0.0015554836364712714,
    0.0015709608522519042,
    0.0015867747496788424,
    0.0016029367207507535,
    0.0016194586838720257,
    0.0016363531148478883,
    0.0016536330801070476,
    0.0016713122723412653,
    0.0016894050487708256,
    0.0017079264722647397,
    0.0017268923555684157,
    0.0017463193089173878,
    0.0017662247913446324,
    0.0017866271660207794,
    0.0018075457600043934,
    0.00182900092881845,
    0.0018510141263162194,
    0.0018736079803508693,
    0.001896806374821057,
    0.0019206345387308976,
    0.001945119142976466,
    0.0019702884056556555,
    0.0019961722067928372,
    0.002022802213479724,
    0.0020502120165562937,
    0.0020784372800977877,
    0.00210751590513511,
    0.0021374882092212166,
    0.0021683971236691885,
    0.0022002884105325887,
    0.002233210901681437,
    0.0022672167626546363,
    0.0023023617843486582,
    0.0023387057060432898,
    0.0023763125737791824,
    0.002415251138702848,
    0.0024555953006975273,
    0.002497424603446735,
    0.0025408247880517876,
    0.0025858884134766225,
    0.002632715553463852,
    0.002681414581190339,
    0.002732103054880128,
    0.0027849087199198624,
    0.0028399706458323015,
    0.002897440519852093,
    0.0029574841229614846,
    0.0030202830192600644,
    0.0030860364956750985,
    0.003154963796568322,
    0.0032273067071235673,
    0.003303332550987803,
    0.0033833376821197636,
    0.0034676515689918697,
    0.0035566415922922423,
    0.0036507187065351054,
    0.003750344153470697,
    0.003856037463544737,
    0.003968386044516825,
    0.004088056738735135,
    0.00421580983944575,
    0.004352516201764356,
    0.0044991782795854585,
    0.004656956185999012,
    0.004827200241356078,
    0.005011491983835659,
    0.00521169633824814,
    0.00543002867083156,
    0.0056691419580716385,
    0.00593224151538696,
    0.006223238070673709,
    0.006546955097535195,
    0.006909414381492784,
    0.0073182367692085915,
    0.0077832165351815474,
    0.008317164499592078,
    0.008937179986309274,
    0.009666631458135677,
    0.010538357112850172,
    0.011600069622260678,
    0.012923981785979644,
    0.014625114787867544,
    0.016899157683238075,
    0.020109898736216325,
    0.02502479281852832,
    0.033617943398741634,
    0.053269344793757,
    0.5280879189889731
  ],
  "strand_count": 500,
  "top20_strand_count": 400,
  "wealth_share_per_strand": 0.002,
  "calibration_is_chosen_not_observed": true,
  "external_data_inputs": [],
  "compositional_void_scaled_to_financial_statistic": false,
  "token_id": null,
  "svg_sha256": "ee5ab132deaf5263c2fa761c4687310e76972da31bb74d5070f62a36f208e02d",
  "checks": {
    "top20_exact_within_tolerance": true,
    "bin_sum_one": true,
    "bin_weights_positive_increasing": true,
    "500_equal_weight_strands_400_in_tail": true,
    "independent_numeric_values_match": true,
    "inverse_roundtrip": true,
    "endpoints": true,
    "invalid_domain_rejected": true
  },
  "limitations": [
    "Theory about an ideal population, not 100 people or wallets",
    "The 80/20 allocation is imposed by alpha, not empirical evidence",
    "Infinite theoretical variance at this alpha is not a prediction",
    "Visual overlap and central masking do not preserve visible ink area; endpoint counts carry the quantitative claim",
    "One shared art study; no individual NFT assignment or ownership proof"
  ],
  "scope": "Free shared mathematical studio study, not assigned NFT artwork or financial rights"
}
