{
  "mission": "PMR_CNG_OFFLINE_RESCORE",
  "date": "2026-09-20",
  "criteria_frozen_before_computation": true,
  "criteria_file": "CNG_OFFLINE_RESCORE_PASS_HOLD_FAIL_CRITERIA.md",
  "n_points": 51,
  "epsilon_primary_fixed": 37.5,
  "epsilon_n_predeclared": [
    37.5,
    70.17,
    102.8,
    135.5
  ],
  "DO_NOT_FIT_FREQUENCIES": true,
  "forbidden_surrogate_used": false,
  "statistic_A_nested": {
    "R2_H0_cubic": 0.08376398895898562,
    "R2_H1_cubic_plus_fixed_eps1": 0.9972199417996085,
    "delta_R2": 0.9134559528406229,
    "RSS_H0": 19.575465315532913,
    "RSS_H1": 0.059396195108174586,
    "amp": 0.9218091448758629,
    "phi": 0.7535370878398018,
    "grade": "PASS"
  },
  "statistic_B_dominant_projection": {
    "abs_P": [
      0.20922377001531653,
      0.031142079452330003,
      0.008078630736221311,
      0.009230212535123449
    ],
    "dominant_n": 1,
    "dominant_epsilon": 37.5,
    "ratio_dom_over_next": 6.7183622190541525,
    "grade": "PASS",
    "note": "Dominant = argmax |P| among predeclared \u03b5_n (NOT surrogate ratio)."
  },
  "statistic_C_split_phase": {
    "omega_split": 10.05,
    "n_left": 26,
    "n_right": 25,
    "amp_left": 0.8994512753266894,
    "amp_right": 0.9319168214759457,
    "phi_left": 0.7410810614895811,
    "phi_right": 0.7764884750355464,
    "delta_phi_rad": 0.03540741354596533,
    "R2_left": 0.9986207758203263,
    "R2_right": 0.9984802381387294,
    "grade": "PASS"
  },
  "statistic_D_cross_half_predict": {
    "R2_left_predicts_right": -1.206699993541588,
    "R2_right_predicts_left": -9.720023867179039,
    "grade": "FAIL"
  },
  "statistic_E_cross_component": {
    "R2": {
      "tt": 0.9972199417996085,
      "rr": 0.9971956388304275,
      "thth": 0.9972399186343855
    },
    "amp": {
      "tt": 0.9218091448758629,
      "rr": 0.45715571285470324,
      "thth": 0.23234953787621118
    },
    "phi": {
      "tt": 0.7535370878398018,
      "rr": 0.7300843141653103,
      "thth": -2.407447282801442
    },
    "delta_phi_tt_rr": -0.0234527736744915,
    "delta_phi_thth_tt": 3.1222009365383427,
    "grade": "PASS"
  },
  "statistic_F_smooth_null_bootstrap": {
    "method": "block_bootstrap_signflip_H0_residuals",
    "n_bootstrap": 200,
    "block_len": 5,
    "seed": 20260920,
    "amp_obs": 0.9218091448758629,
    "amp_null_median": 0.28114928750579254,
    "amp_null_p99": 0.6148050670622266,
    "amp_obs_over_median": 3.2787176985354116,
    "grade": "F_CRITERIA_GAP",
    "grade_note": "Corrected: 3 < ratio < 5 AND A_obs > p99 \u2192 UNCLASSIFIED under frozen F rules (not HOLD)."
  },
  "statistic_G_other_eps_transparent": {
    "eps_1": {
      "epsilon": 37.5,
      "R2_H1": 0.9972199417996085,
      "amp": 0.9218091448758629,
      "phi": 0.7535370878398018,
      "abs_P_residual_after_H0": 0.20922377001531653
    },
    "eps_2": {
      "epsilon": 70.17,
      "R2_H1": 0.10747607595267084,
      "amp": 0.141864855790682,
      "phi": 2.752758758675715,
      "abs_P_residual_after_H0": 0.031142079452330003
    },
    "eps_3": {
      "epsilon": 102.8,
      "R2_H1": 0.08610072598482854,
      "amp": 0.04418938541332785,
      "phi": -0.5283205831259561,
      "abs_P_residual_after_H0": 0.008078630736221311
    },
    "eps_4": {
      "epsilon": 135.5,
      "R2_H1": 0.08636880593543184,
      "amp": 0.04717102497397638,
      "phi": 3.0247511444590374,
      "abs_P_residual_after_H0": 0.009230212535123449
    }
  },
  "diagnostic_extrema": {
    "maxima_omega": [
      9.91,
      10.07,
      10.24
    ],
    "minima_omega": [
      9.82,
      9.99,
      10.16
    ],
    "maxima_spacings": [
      0.16000000000000014,
      0.16999999999999993
    ],
    "minima_spacings": [
      0.16999999999999993,
      0.16999999999999993
    ],
    "lambda_1_predeclared": 0.16755160819145562
  },
  "grades": {
    "A": "PASS",
    "B": "PASS",
    "C": "PASS",
    "D": "FAIL",
    "E": "PASS",
    "F": "F_CRITERIA_GAP"
  },
  "overall": "OFFLINE_RESCORE_UNCLASSIFIED_CRITERIA_GAP",
  "locks": {
    "OUR_NUMERICAL_CNG_STRUCTURE_CONFIRMED": false,
    "ASYMPTOTIC_STRUCTURE_MIXED_GLOBAL_CONFIRM": false,
    "ABEL_PRODUCTION_VALIDATED": false,
    "B1_HH_REPRODUCTION_CLAIMED": false,
    "SIGN_VERDICT": "UNRESOLVED",
    "PRODUCTION_SIGN_FLIP": "NO",
    "GATE": "NO",
    "note": "Even CNG_STRUCTURE_SUPPORTED here does not auto-promote global confirm; Jay/GPT required."
  },
  "old_surrogate_discriminator": "INVALIDATED_DO_NOT_USE",
  "scan_status": "ACCEPT_WITH_PATCH_per_GPT",
  "diagnostic_D_note": {
    "why_full_H1_transfer_fails": "Left-half cubic coefficients do not extrapolate across the window; negative out-of-half R\u00b2 is a polynomial-extrapolation artifact, not proof against \u03b51.",
    "oscillatory_only_transfer_R2": {
      "left_AB_on_right_residual_after_local_cubic": 0.411,
      "right_AB_on_left_residual_after_local_cubic": 0.528,
      "note": "Informational only \u2014 does NOT retune frozen D grade (still FAIL)."
    },
    "frozen_D_grade_unchanged": "FAIL"
  },
  "plain_english_summary": "Old surrogate discriminator INVALIDATED. Offline re-score with newly frozen criteria: A/B/C/E PASS (fixed \u03b51 explains 99.7% vs cubic 8.4%; dominant is \u03b51 at 6.7\u00d7; phase coherent \u0394\u03c6\u22480.035; tt/rr/\u03b8\u03b8 coherent with \u03b8\u03b8\u2248\u03c0 shift). D FAIL (full H1 cross-half transfer; polynomial extrapolation artifact). F HOLD (amp \u22483.28\u00d7 null median; PASS needs \u22655). Overall CNG_STRUCTURE_NOT_RESOLVED under frozen rules. Locks still FALSE. No new Linode burn.",
  "bookkeeping_patch_2026-09-20": {
    "F_corrected": "F_CRITERIA_GAP",
    "F_was_erroneously_reported_as": "HOLD",
    "overall_corrected": "OFFLINE_RESCORE_UNCLASSIFIED_CRITERIA_GAP",
    "overall_was_erroneously_reported_as": "CNG_STRUCTURE_NOT_RESOLVED",
    "grades_corrected": {
      "A": "PASS",
      "B": "PASS",
      "C": "PASS",
      "D": "FAIL",
      "E": "PASS",
      "F": "F_CRITERIA_GAP"
    },
    "auth": "GPT_ACCEPT_WITH_PATCH_OFFLINE_RESCORE"
  }
}