{
 "spec": "v16 SPEC - Regime-Shift Envelope (registered).md",
 "run_date": "2026-07-09",
 "n_points_EA": 32,
 "dials": [
  "sw_arpu",
  "c_arpu",
  "sv_rate",
  "gov_pay_frac_rec",
  "skip_p",
  "fed_carry_yr",
  "wage_med_hr",
  "gov_admin",
  "fed_stepup_lag"
 ],
 "bars": {
  "L1_frac_hold_lag_le6": 1.0,
  "L1_n": 38,
  "L1_pass": true,
  "L1_bracket_lag_gt6_breaches": 0,
  "L1_bracket_n": 26,
  "L1_bracket_as_registered": false,
  "L2_frac_hold_lag_le6": 0.47368421052631576,
  "L2_n": 38,
  "L2_pass": false,
  "J2_worst_points": [
   {
    "p10_min": 0.7108133604433128,
    "point": 5,
    "seed": 11
   },
   {
    "p10_min": 0.7301036904015221,
    "point": 5,
    "seed": 7
   },
   {
    "p10_min": 0.7348440353389719,
    "point": 9,
    "seed": 11
   },
   {
    "p10_min": 0.7713090142523398,
    "point": 0,
    "seed": 11
   },
   {
    "p10_min": 0.7761557125999612,
    "point": 9,
    "seed": 7
   }
  ],
  "L3_contain_pass": true,
  "L3_cartel_pass": true,
  "L4_pass": true
 },
 "E_B": {
  "n": 400,
  "contain_100pct": true,
  "cartel_ge_1_over_kappa_100pct": true,
  "singlepass_leak_fraction": 0.0775,
  "worst_wf_max_minus_kappa": 6.938893903907228e-18,
  "min_cartel_x_kappa": 2.0228787084918864,
  "rows_sample": [
   {
    "kappa": 0.020233090501693918,
    "alpha": 0.6289818716942217,
    "sigma": 1.02165935532465,
    "whale": 0.21123833170232098,
    "N": 2000,
    "seed": 7,
    "wf_max": 0.020233090501693918,
    "sp_max": 0.02040212851060438,
    "cartel": 501,
    "contain": 1.0,
    "cartel_ok": true
   },
   {
    "kappa": 0.020233090501693918,
    "alpha": 0.6289818716942217,
    "sigma": 1.02165935532465,
    "whale": 0.21123833170232098,
    "N": 2000,
    "seed": 11,
    "wf_max": 0.020233090501693918,
    "sp_max": 0.020401921413161276,
    "cartel": 510,
    "contain": 1.0,
    "cartel_ok": true
   },
   {
    "kappa": 0.03725403507739112,
    "alpha": 0.673089891723276,
    "sigma": 1.8973368713279328,
    "whale": 0.40680603519236513,
    "N": 2000,
    "seed": 7,
    "wf_max": 0.037254035077391126,
    "sp_max": 0.03912981882578319,
    "cartel": 186,
    "contain": 1.0,
    "cartel_ok": true
   },
   {
    "kappa": 0.03725403507739112,
    "alpha": 0.673089891723276,
    "sigma": 1.8973368713279328,
    "whale": 0.40680603519236513,
    "N": 2000,
    "seed": 11,
    "wf_max": 0.037254035077391126,
    "sp_max": 0.03920475441043306,
    "cartel": 191,
    "contain": 1.0,
    "cartel_ok": true
   },
   {
    "kappa": 0.022948912164268045,
    "alpha": 0.5770833970376742,
    "sigma": 1.8468666037321293,
    "whale": 0.2591183504435115,
    "N": 10000,
    "seed": 7,
    "wf_max": 0.016597973503053167,
    "sp_max": 0.016597973503053167,
    "cartel": 1393,
    "contain": 1.0,
    "cartel_ok": true
   },
   {
    "kappa": 0.022948912164268045,
    "alpha": 0.5770833970376742,
    "sigma": 1.8468666037321293,
    "whale": 0.2591183504435115,
    "N": 10000,
    "seed": 11,
    "wf_max": 0.016548847271920585,
    "sp_max": 0.016548847271920585,
    "cartel": 1403,
    "contain": 1.0,
    "cartel_ok": true
   }
  ]
 },
 "E_C": {
  "grid": {
   "5000": {
    "5": 1.2586145607455392e-39,
    "10": 2.1267837826001617e-20,
    "15": 2.8001624391829088e-11,
    "20": 4.425769280319532e-06,
    "25": 0.004417874813468621,
    "28": 0.05320472006038286,
    "30": 0.16644762650362904,
    "33": 0.4867788510878096,
    "s_star_first_over_1pct": 28
   },
   "20000": {
    "5": 3.3739270743586655e-37,
    "10": 1.1813994904097534e-19,
    "15": 5.7745687171210476e-11,
    "20": 5.873364186540205e-06,
    "25": 0.004827898251013741,
    "28": 0.05535850233575525,
    "30": 0.1687926096159218,
    "33": 0.4865053852359404,
    "s_star_first_over_1pct": 28
   },
   "50000": {
    "5": 9.026152165299486e-37,
    "10": 1.661739181883711e-19,
    "15": 6.662859454298609e-11,
    "20": 6.203713499858869e-06,
    "25": 0.004911931457271195,
    "28": 0.05571346443377895,
    "30": 0.169409534521463,
    "33": 0.486451187569842,
    "s_star_first_over_1pct": 28
   }
  },
  "le_1pct_for_s_le_25_all_H": true
 },
 "isolation": {
  "note": "committed July 11, 2026 (Verification v4, D2): the F2 slices previously quoted from uncommitted probes; all dials central, storm scenario, seeds 7+11, same build_params path as the sweep",
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     "max_consec": 0,
     "p10_min42": 1.0883966277215216,
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     "gov_pay_frac_rec_applied": 0.6,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
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     "p10_min42": 1.0616956910777433,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.6,
     "sw_arpu_applied": 900.0
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   },
   "0.50": {
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     "max_consec": 1,
     "p10_min42": 0.993934939656157,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.5,
     "sw_arpu_applied": 900.0
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    "s11": {
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     "max_consec": 5,
     "p10_min42": 0.9823373973574385,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.5,
     "sw_arpu_applied": 900.0
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   },
   "0.45": {
    "s7": {
     "months_below": 11,
     "max_consec": 5,
     "p10_min42": 0.9495772895814902,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.44999999999999996,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 12,
     "max_consec": 7,
     "p10_min42": 0.9337023010834445,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.44999999999999996,
     "sw_arpu_applied": 900.0
    }
   },
   "0.35": {
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     "max_consec": 8,
     "p10_min42": 0.8687918437537763,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 14,
     "max_consec": 8,
     "p10_min42": 0.8555496656785534,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 900.0
    }
   }
  },
  "arpu_slices_at_gov035": {
   "450": {
    "s7": {
     "months_below": 14,
     "max_consec": 9,
     "p10_min42": 0.8619275754578661,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 450.0
    },
    "s11": {
     "months_below": 16,
     "max_consec": 8,
     "p10_min42": 0.8491350964584485,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 450.0
    }
   },
   "900": {
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     "months_below": 13,
     "max_consec": 8,
     "p10_min42": 0.8687918437537763,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 14,
     "max_consec": 8,
     "p10_min42": 0.8555496656785534,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 900.0
    }
   },
   "1350": {
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     "months_below": 13,
     "max_consec": 8,
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     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 1350.0
    },
    "s11": {
     "months_below": 12,
     "max_consec": 7,
     "p10_min42": 0.8743675444074626,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.35000000000000003,
     "sw_arpu_applied": 1350.0
    }
   }
  },
  "g_star_bracket_3consec_s7": {
   "lowest_g_no_sustained_breach": 0.5,
   "highest_g_sustained_breach": 0.45
  },
  "g_star_bracket_3consec_s11": {
   "lowest_g_no_sustained_breach": 0.6,
   "highest_g_sustained_breach": 0.5
  }
 },
 "sweep_EA": [
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   "i": 0,
   "dials": {
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    "sv_rate": 0.5699740859595808,
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    "skip_p": 0.8400564733321332,
    "fed_carry_yr": 1.1363681764268505,
    "wage_med_hr": 0.759664096759693,
    "gov_admin": 0.9559542818556006,
    "fed_stepup_lag": 4
   },
   "cells": {
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     "p10_min42": 1.291272854159975,
     "printed": 0.0,
     "payr_min": 0.8915472905674046,
     "applied": {
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      "c_arpu": 127.49202048136804,
      "sv_rate": 1.7099222578787423,
      "fed_carry_yr": 0.05681840882134253,
      "wage_med_hr": 16.712610128713248,
      "gov_admin": 0.009559542818556007,
      "fed_stepup_lag": 4
     },
     "skipped": [
      "gov_pay_frac_rec (peacetime)",
      "skip_p (peacetime cell has no delayer)"
     ]
    },
    "J1_exit_s11": {
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     "p10_min42": 1.2741957652195604,
     "printed": 0.0,
     "payr_min": 0.8915875836566403,
     "applied": {
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     },
     "skipped": [
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      "skip_p (peacetime cell has no delayer)"
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    },
    "J2_storm_s7": {
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     "max_consec": 22,
     "p10_min42": 0.7879765549613575,
     "printed": 0.0,
     "payr_min": 0.40599978706346396,
     "applied": {
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      "gov_pay_frac_rec": 0.37797724769214075,
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    "J2_storm_s11": {
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     "printed": 0.0,
     "payr_min": 0.39874496197199266,
     "applied": {
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  },
  {
   "i": 1,
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    "sv_rate": 1.40191856945979,
    "gov_pay_frac_rec": 1.221609605144568,
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    "wage_med_hr": 0.9711483046181063,
    "gov_admin": 1.0484208573261742,
    "fed_stepup_lag": 9
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   "cells": {
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     "payr_min": 0.8655757834985565,
     "applied": {
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    "J1_exit_s11": {
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     "skipped": [
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    },
    "J2_storm_s7": {
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     "printed": 0.0,
     "payr_min": 0.6020442946993115,
     "applied": {
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      "gov_pay_frac_rec": 0.7329657630867408,
      "skip_p": 0.26834880554519497,
      "fed_carry_yr": 0.050101067325607374,
      "wage_med_hr": 21.36526270159834,
      "gov_admin": 0.010484208573261742,
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     "skipped": []
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    "J2_storm_s11": {
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     "p10_min42": 1.0253979757672431,
     "printed": 0.0,
     "payr_min": 0.5948114235608406,
     "applied": {
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      "gov_pay_frac_rec": 0.7329657630867408,
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      "fed_carry_yr": 0.050101067325607374,
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     "skipped": []
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   }
  },
  {
   "i": 2,
   "dials": {
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    "c_arpu": 0.9654637723198479,
    "sv_rate": 1.3850589724518425,
    "gov_pay_frac_rec": 0.994225786437318,
    "skip_p": 0.5412783998566659,
    "fed_carry_yr": 0.6130711870648237,
    "wage_med_hr": 0.7686464344293847,
    "gov_admin": 1.0215781337119667,
    "fed_stepup_lag": 3
   },
   "cells": {
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     "payr_min": 0.8698864043554636,
     "applied": {
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     "skipped": [
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    },
    "J1_exit_s11": {
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     "skipped": [
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    "J2_storm_s7": {
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     "payr_min": 0.6106111762831847,
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      "gov_admin": 0.010215781337119667,
      "fed_stepup_lag": 3
     },
     "skipped": []
    },
    "J2_storm_s11": {
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     "p10_min42": 0.9692571590553039,
     "printed": 0.0,
     "payr_min": 0.5975263986344949,
     "applied": {
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     "skipped": []
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   }
  },
  {
   "i": 3,
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    "sv_rate": 0.6054585947912078,
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    "skip_p": 1.0212301691808792,
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    "wage_med_hr": 0.8104253336696995,
    "gov_admin": 0.9616495487209761,
    "fed_stepup_lag": 7
   },
   "cells": {
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     "printed": 0.0,
     "payr_min": 0.8898606405363759,
     "applied": {
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     "skipped": [
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 "sweep_layers": {
  "note": "Backlog #9.1: v12/v13-oracle/v14 (made importable + byte-identical by #8) swept through the joint +-50% log-uniform LHS envelope, n=32 per engine, seeds fixed [7,11] (their cross-seed checks hardcode 7/11 -- #8 caveat). Engines run AS COMMITTED (imported run()/anchors, not reimplemented). Headlines = the committed RESULTS conclusions; frac_hold = fraction of the envelope in which each holds; flips are findings.",
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  "seeds_fixed": [
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  "v13_oracle": {
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    "infl_pa",
    "deflate",
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     "claim": "cheapest 2-of-3 oracle capture >= $25M (expensive)",
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     "frac_hold": 1.0,
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      "oracle_R_seats": 0.9362182660524923,
      "identity_isolated_fraud": 0.6665013501855533,
      "cap": 0.8237345830008418,
      "delta": 0.8866837815186898,
      "redemption_pm": 0.7435629814434698,
      "reserve0": 0.6604593084820994,
      "lev_shape": 1.3447632138164027,
      "lev_scale": 0.8064460120547042,
      "lev_cap": 1.3579113603999193
     },
     "X1_ratio": 0.7325362383558688,
     "X1_discount": true,
     "X2_composed": 0.02687148299959331,
     "X2_past_gate": true,
     "X3_delivery_min": 1.0,
     "X3_drain_mo": 4.007001748113955,
     "X3_pass": true,
     "X4_composed_under_cap": 0.006391747948279456,
     "X4_pass": true
    }
   ]
  }
 },
 "g_star_densification": {
  "note": "Backlog #9.2: densifies the g* austerity floor to a 0.01 grid on the committed v6.8 run_fed, v16 storm + escrow E=6, both seeds, same build_params route as the sweep and the F2 isolation slices. Refines (not duplicates) v31's 0.05 grid and its (0.50,0.55] bracket.",
  "criterion": "sustained breach = max_consec >= 3 (post-month-42), the program criterion",
  "floors": [
   0.45,
   0.46,
   0.47,
   0.48,
   0.49,
   0.5,
   0.51,
   0.52,
   0.53,
   0.54,
   0.55,
   0.56,
   0.57,
   0.58,
   0.59,
   0.6
  ],
  "cells": {
   "0.45": {
    "s7": {
     "months_below": 11,
     "max_consec": 5,
     "p10_min42": 0.9495772895814902,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.44999999999999996,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 12,
     "max_consec": 7,
     "p10_min42": 0.9337023010834445,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.44999999999999996,
     "sw_arpu_applied": 900.0
    }
   },
   "0.46": {
    "s7": {
     "months_below": 10,
     "max_consec": 5,
     "p10_min42": 0.9620662860251856,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.46,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 11,
     "max_consec": 6,
     "p10_min42": 0.9436528312248528,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.46,
     "sw_arpu_applied": 900.0
    }
   },
   "0.47": {
    "s7": {
     "months_below": 7,
     "max_consec": 4,
     "p10_min42": 0.9722350723641381,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.47,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 11,
     "max_consec": 6,
     "p10_min42": 0.954818878427823,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.47,
     "sw_arpu_applied": 900.0
    }
   },
   "0.48": {
    "s7": {
     "months_below": 5,
     "max_consec": 3,
     "p10_min42": 0.9812012659754841,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.48,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 10,
     "max_consec": 5,
     "p10_min42": 0.9614312463548217,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.48,
     "sw_arpu_applied": 900.0
    }
   },
   "0.49": {
    "s7": {
     "months_below": 3,
     "max_consec": 2,
     "p10_min42": 0.9858550070084409,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.49,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 8,
     "max_consec": 5,
     "p10_min42": 0.9703644869020968,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.49,
     "sw_arpu_applied": 900.0
    }
   },
   "0.50": {
    "s7": {
     "months_below": 1,
     "max_consec": 1,
     "p10_min42": 0.993934939656157,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.5,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 6,
     "max_consec": 5,
     "p10_min42": 0.9823373973574385,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.5,
     "sw_arpu_applied": 900.0
    }
   },
   "0.51": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0057975022300047,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.51,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 5,
     "max_consec": 3,
     "p10_min42": 0.9887570877385559,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.51,
     "sw_arpu_applied": 900.0
    }
   },
   "0.52": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0127565664744937,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.52,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 2,
     "max_consec": 2,
     "p10_min42": 0.9969151050116326,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.52,
     "sw_arpu_applied": 900.0
    }
   },
   "0.53": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0234614766238395,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.53,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.008714103001365,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.53,
     "sw_arpu_applied": 900.0
    }
   },
   "0.54": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0368433084555884,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.54,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.022334662536077,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.54,
     "sw_arpu_applied": 900.0
    }
   },
   "0.55": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0406444481280204,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.55,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0312023450326144,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.55,
     "sw_arpu_applied": 900.0
    }
   },
   "0.56": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0545915467023659,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.56,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0207799436945006,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.56,
     "sw_arpu_applied": 900.0
    }
   },
   "0.57": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0575091957413305,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.57,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0295587820503975,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.57,
     "sw_arpu_applied": 900.0
    }
   },
   "0.58": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0734979625412535,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.58,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.038637052728121,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.58,
     "sw_arpu_applied": 900.0
    }
   },
   "0.59": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0795615607347857,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.59,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0521689878920766,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.59,
     "sw_arpu_applied": 900.0
    }
   },
   "0.60": {
    "s7": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0883966277215216,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.6,
     "sw_arpu_applied": 900.0
    },
    "s11": {
     "months_below": 0,
     "max_consec": 0,
     "p10_min42": 1.0616956910777433,
     "printed": 0.0,
     "gov_pay_frac_rec_applied": 0.6,
     "sw_arpu_applied": 900.0
    }
   }
  },
  "per_seed": {
   "s7": {
    "highest_floor_sustained_breach": 0.48,
    "lowest_floor_no_sustained_breach": 0.49,
    "lowest_floor_zero_months_below": 0.51
   },
   "s11": {
    "highest_floor_sustained_breach": 0.51,
    "lowest_floor_no_sustained_breach": 0.52,
    "lowest_floor_zero_months_below": 0.53
   }
  },
  "g_star_bracket_3consec": {
   "lower_open_highest_floor_still_breaching_either_seed": 0.51,
   "upper_closed_lowest_floor_holding_both_seeds": 0.52,
   "zero_months_below_both_seeds_from": 0.53,
   "binding_seed": "s11"
  },
  "reconciliation_with_v31": {
   "v31_grid": [
    0.45,
    0.5,
    0.55,
    0.6
   ],
   "v31_bracket_3consec": "(0.50, 0.55]",
   "v31_recommendation": ">= 0.60",
   "v16_densified_bracket_3consec": "(0.51, 0.52]",
   "shared_anchor_points_reproduce": {
    "0.50": {
     "s7": {
      "months_below": 1,
      "max_consec": 1
     },
     "s11": {
      "months_below": 6,
      "max_consec": 5
     }
    },
    "0.55": {
     "s7": {
      "months_below": 0,
      "max_consec": 0
     },
     "s11": {
      "months_below": 0,
      "max_consec": 0
     }
    },
    "0.60": {
     "s7": {
      "months_below": 0,
      "max_consec": 0
     },
     "s11": {
      "months_below": 0,
      "max_consec": 0
     }
    }
   },
   "note": "0.01-spaced floors reproduce v31's 0.50 and 0.55 cells exactly (same committed path/storm/E6), refining the sustained-breach edge from v31's (0.50,0.55] to (0.51,0.52] on the binding seed 11; full delivery (zero months below, both seeds) needs g >= 0.53. v31's >= 0.60 recommendation stands with ~8-9 hundredths of margin over the measured edge. max_consec and months_below are monotone in the floor (v31 AB1 holds on the finer grid); the p10 trough has a single <=0.011 non-monotone wiggle at 0.55->0.56 on seed 11, below the criterion and not a breach."
  }
 },
 "wtp_fail_tier_sensitivity": {
  "note": "Backlog #9.3 / red-team A9: WTP is the program's single hinge; the registered field experiment sets FAIL bars an order of magnitude below the anchors. Here the three WTP anchors (data $600/contributor-yr, code $900, machine-pay $240/agent-yr) are divided jointly by 5 ($120-world) and 10 ($60-world, the A9 FAIL tier) and run through the committed v6.8 run_fed, J1-core peace + J2-core storm, both seeds. Reports which committed headlines break vs survive.",
  "anchors": {
   "data_arpu_usd_yr": 600.0,
   "code_sw_arpu": 900.0,
   "machine_c_arpu": 240.0
  },
  "tiers": {
   "anchor": 1.0,
   "tier_120": 0.2,
   "fail_60": 0.1
  },
  "cells": {
   "peace_anchor_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.3597166764734732,
    "printed": 0.0,
    "payr_min42": 0.8542705295109115,
    "endog_coverage_slice_over_oblig": 0.13230930161897794,
    "med_builder_usd_tail": 426.65222543624617,
    "share_builder_ge200_tail": 0.8854039788875356,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 494.8812953028296,
    "worst_member_cost_ratio_vs_trad": 0.7850513293270869
   },
   "peace_anchor_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.3514867085565947,
    "printed": 0.0,
    "payr_min42": 0.8682811545000754,
    "endog_coverage_slice_over_oblig": 0.13237747540636416,
    "med_builder_usd_tail": 418.6164876762344,
    "share_builder_ge200_tail": 0.896168938455184,
    "n_builders_tail": 1614.0,
    "trad_per_enrollee_mo": 501.2151451855141,
    "worst_member_cost_ratio_vs_trad": 0.784724702756031
   },
   "peace_tier_120_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.3669621631804256,
    "printed": 0.0,
    "payr_min42": 0.8889056786392922,
    "endog_coverage_slice_over_oblig": 0.08086388790190506,
    "med_builder_usd_tail": 82.61269582811589,
    "share_builder_ge200_tail": 0.10480105562322371,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 528.7425775765303,
    "worst_member_cost_ratio_vs_trad": 0.7852377392837522
   },
   "peace_tier_120_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.33572235451329,
    "printed": 0.0,
    "payr_min42": 0.8733238634725299,
    "endog_coverage_slice_over_oblig": 0.08063508328976325,
    "med_builder_usd_tail": 80.66483156002946,
    "share_builder_ge200_tail": 0.100444582299421,
    "n_builders_tail": 1612.0,
    "trad_per_enrollee_mo": 534.3167887334896,
    "worst_member_cost_ratio_vs_trad": 0.7849657527994196
   },
   "peace_fail_60_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.2215683695117745,
    "printed": 0.0,
    "payr_min42": 0.6879263022335426,
    "endog_coverage_slice_over_oblig": 0.07172832070856511,
    "med_builder_usd_tail": 45.30022058674609,
    "share_builder_ge200_tail": 0.02765935850588713,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 535.1896827789294,
    "worst_member_cost_ratio_vs_trad": 0.7849408511914662
   },
   "peace_fail_60_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.1938650424887225,
    "printed": 0.0,
    "payr_min42": 0.6865999355774735,
    "endog_coverage_slice_over_oblig": 0.07161962400261032,
    "med_builder_usd_tail": 45.51385089666525,
    "share_builder_ge200_tail": 0.019310202395704256,
    "n_builders_tail": 1614.0,
    "trad_per_enrollee_mo": 540.7438108248001,
    "worst_member_cost_ratio_vs_trad": 0.7846202938402745
   },
   "storm_anchor_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.0883966277215216,
    "printed": 0.0,
    "payr_min42": 0.6407266636870556,
    "endog_coverage_slice_over_oblig": 0.07319204161904971,
    "med_builder_usd_tail": 426.0685522404314,
    "share_builder_ge200_tail": 0.8840336987413724,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 529.1117053299604,
    "worst_member_cost_ratio_vs_trad": 0.9140781547111119
   },
   "storm_anchor_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.0616956910777433,
    "printed": 0.0,
    "payr_min42": 0.6108872149857608,
    "endog_coverage_slice_over_oblig": 0.07267793033072668,
    "med_builder_usd_tail": 418.44943776949907,
    "share_builder_ge200_tail": 0.895704254440314,
    "n_builders_tail": 1614.0,
    "trad_per_enrollee_mo": 532.4562441474429,
    "worst_member_cost_ratio_vs_trad": 0.8690364795216443
   },
   "storm_tier_120_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.0260322346892488,
    "printed": 0.0,
    "payr_min42": 0.614815287440707,
    "endog_coverage_slice_over_oblig": 0.03431141698238518,
    "med_builder_usd_tail": 82.43821137728096,
    "share_builder_ge200_tail": 0.10459805115712545,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 562.0742314868452,
    "worst_member_cost_ratio_vs_trad": 0.9148627673081758
   },
   "storm_tier_120_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.011961826685749,
    "printed": 0.0,
    "payr_min42": 0.6017951388126729,
    "endog_coverage_slice_over_oblig": 0.03536569873306749,
    "med_builder_usd_tail": 80.63403579817522,
    "share_builder_ge200_tail": 0.10034119106699751,
    "n_builders_tail": 1612.0,
    "trad_per_enrollee_mo": 563.9342343472829,
    "worst_member_cost_ratio_vs_trad": 0.8700844076715682
   },
   "storm_fail_60_s7": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.0178487729737815,
    "printed": 0.0,
    "payr_min42": 0.6110683208061398,
    "endog_coverage_slice_over_oblig": 0.02597745380750577,
    "med_builder_usd_tail": 45.30128672955732,
    "share_builder_ge200_tail": 0.027101096224116928,
    "n_builders_tail": 1642.0,
    "trad_per_enrollee_mo": 568.5944482319804,
    "worst_member_cost_ratio_vs_trad": 0.9149836084694953
   },
   "storm_fail_60_s11": {
    "months_below": 0,
    "max_consec": 0,
    "p10_min42": 1.008005646093162,
    "printed": 0.0,
    "payr_min42": 0.6055485656982446,
    "endog_coverage_slice_over_oblig": 0.02693794893306214,
    "med_builder_usd_tail": 45.514387562652566,
    "share_builder_ge200_tail": 0.019310202395704256,
    "n_builders_tail": 1614.0,
    "trad_per_enrollee_mo": 570.4911790125559,
    "worst_member_cost_ratio_vs_trad": 0.8697972685486761
   }
  },
  "verdicts": {
   "floor_delivery": {
    "claim": "sponsor-funded essentials floor keeps delivering (0 months below, no printing)",
    "verdict": "SURVIVES",
    "detail": "floor delivery is sponsor-backed, not WTP-backed, so it holds at the $60-world in peace and storm, both seeds -- BUT the storm p10 trough thins to ~1.01 (from 1.06-1.09) and peace payr falls 0.85->0.69: the margin WTP was buying via slice/reserve bridging evaporates",
    "storm_trough_anchor_vs_fail": [
     1.0616956910777433,
     1.008005646093162
    ]
   },
   "floor_self_funding": {
    "claim": "endogenous slice covers floor obligations (could wean off the sponsor)",
    "verdict": "ALREADY-WEAK-AT-ANCHOR; DEEPENS",
    "detail": "endogenous coverage (slice/obligations) is only ~0.13 peace / ~0.07 storm at anchor and roughly halves to ~0.07 / ~0.03 at the $60-world: the floor was never self-funding and the $60-world pushes any self-funding horizon 'years to the right' (A9), deepening sponsor dependence",
    "coverage_peace_anchor_vs_fail": [
     0.13230930161897794,
     0.07161962400261032
    ]
   },
   "sponsor_coverage": {
    "claim": "sponsoring the floor stays cheaper than traditional welfare (ratio <= 0.85)",
    "verdict": "SURVIVES",
    "detail": "the member cost-per-enrollee vs traditional-welfare ratio is WTP-invariant (moves <0.01 from anchor to $60-world) because both the EDEN sponsor cost and the welfare benchmark scale with the same obligation; clears 0.85 in peace at every tier (~0.785) and sits ~0.87-0.91 in storm at every tier (a storm effect, not a WTP effect)",
    "ratio_peace_anchor_vs_fail": [
     0.7850513293270869,
     0.7849408511914662
    ]
   },
   "builder_viability": {
    "claim": "builders earn a living (>= 20% of builders clear the $200/mo jobs line)",
    "verdict": "BREAKS",
    "detail": "median builder income collapses ~10x ($420->$45) and the share of builders clearing $200/mo falls from ~0.89 to ~0.02-0.03 at the $60-world -- the builder economy thins to non-viability, exactly the A9 prediction",
    "share_ge200_anchor_vs_fail": [
     0.8840336987413724,
     0.02765935850588713
    ]
   }
  }
 }
}