{
 "_provenance": "Gate oracles: independent reference values for the unequal-mass two-loop sunrise (d = 2 - 2 eps, master (1,1,1,0,0), eps^0 coefficient), computed independently with the auxiliary-mass-flow method (AMFlow, Liu & Ma, arXiv:2201.11669) in arbitrary-precision ball arithmetic. Used only for the gate comparison, never in the evaluation. The three rational coefficients [-1, -1/3, +8/3] of the closed form were PSLQ-identified and verified exact (139-160 digit closures); the runtime formula has ZERO free parameters. Two kinds of reference point (five held out: t = -3, -9, -11 computed after the closed form was fixed -- the -9, -11 predictions filed before their oracle runs -- and t = -5/2, -7 fit-era verify-grid points). in_fit marks the 2 points here that were PSLQ fit points (t = -1/2, t = -1; the fit used four points, t = -5,-2,-1,-1/2, of which these two are in this file). held_out_in_pslq_fit marks 5 points the fit never saw: t = -3 (goal 280, post-closure: the point held out of the PSLQ identification, its goal-280 AMFlow value, 289 digits in the ball, computed after the closed form and its coefficients were fixed), t = -9 and t = -11 (goal 150, predictions filed before the runs: this evaluator's values at both points were filed before their AMFlow runs; 159 digits in each ball), and t = -5/2 and t = -7 (goal 150, fit-era verify-grid: verify-grid points never in the fit, 159 and 160 digits in the ball); each carries the sha256 of its AMFlow input configuration and of its AMFlow output file, its ball radius and the digits that radius certifies (see each point's provenance). paper_literals carries the digits printed in the paper's sunrise-family section ('Reference values for an independent re-check'); paper_claims carries the digit counts the paper's sentences state there for the held-out points (each `text` is the wording, quoted), which the evaluator measures at the point each claim names, t = -3, -9 and -11 (measured_over = held_out_points, at_t_num/at_t_den the point; the cap is min(claimed digits, working precision), so the default precision must reach 289); the 2 fit points are gated separately and reported as in-sample agreement, the 5 held-out points on their own line.",
 "row": 11,
 "family": "sun114",
 "masses_sq": [
  1,
  1,
  4
 ],
 "gate_points": [
  {
   "t_num": -1,
   "t_den": 2,
   "oracle_mid": "-1.3673584985885260552584987065058547639660324783617214922568593840640277310528911037041904449670998205023488372446565984528999427931267652395877603778148086719547326997521708063324946235926722512399262485385859665754426454471278247336591173156225635115648808859950497461567661307538726746955",
   "oracle_digits": 289,
   "held_out_in_pslq_fit": false,
   "in_fit": true,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 289 digits"
  },
  {
   "t_num": -1,
   "t_den": 1,
   "oracle_mid": "-1.3491471681176710491754302823812984317010819361138718448649134409819783133793814515396084725617004125717841818018647619788296896353101591178877791307350621686436771709813317055586343181595079388544051860005989897223773645800834186983392943154965295132517154829335991917591063420828716492806",
   "oracle_digits": 289,
   "held_out_in_pslq_fit": false,
   "in_fit": true,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 289 digits"
  },
  {
   "t_num": -5,
   "t_den": 2,
   "oracle_mid": "-1.298417041347428472465588808239440386531486680301609817177144436419004579213802543481989064278595077051173557980304021777836454053571171810068918135293196936258",
   "oracle_digits": 159,
   "held_out_in_pslq_fit": true,
   "in_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 159 digits; never in the PSLQ fit (verify-grid point); fit-era verify-grid reference (landed during the June 2026 fit, before verify_closeF.json)",
   "amflow_goal_digits": 150,
   "amflow_eps_order": 9,
   "amflow_ball_radius": "3.64e-160",
   "amflow_ball_digits": 159,
   "amflow_config_sha256": "4e47df63cef6a2b117fabcadbfc5fcde7092b3a839be62272b97b1c9877b0458",
   "amflow_output_sha256": "1bbff21ecd26d2b18af7663dbc700a7ca17f2e61207961ee503604178be79667",
   "provenance": "Never in the PSLQ fit (closeF_eps0.py TRAIN = t=-5,-2,-1,-1/2); verify-grid point of verify_closeF.json; a FIT-ERA reference: it landed during the June 2026 fit, before verify_closeF.json, and was never a prediction filed before the oracle ran (neither a fit point nor the designated held-out point); goal-150 run: d = 2 - 2 eps, s = -5/2, squared masses 1, 1, 4; eps order 9; 16 threads. The AMFlow input configuration has sha256 4e47df63cef6a2b117fabcadbfc5fcde7092b3a839be62272b97b1c9877b0458; the AMFlow output file has sha256 1bbff21ecd26d2b18af7663dbc700a7ca17f2e61207961ee503604178be79667. The printed ball radius 3.64e-160 puts 159 digits in the ball; the gate caps at min(159, working precision)."
  },
  {
   "t_num": -3,
   "t_den": 1,
   "oracle_mid": "-1.2826793601931399671702658019180342971829501826365610621840536766470719046543995624688237948822919690317669180977646845944235733382382900144825494882947379920428527966059103638283493449724660832402270043710589060261166778054953564541924248005055412466744010351155811268342483245260233676912",
   "oracle_digits": 289,
   "held_out_in_pslq_fit": true,
   "in_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 289 digits; held out of the PSLQ fit",
   "amflow_goal_digits": 280,
   "amflow_eps_order": 11,
   "amflow_ball_radius": "4.30e-290",
   "amflow_ball_digits": 289,
   "amflow_config_sha256": "cd9f5451a9eb678197114a9276b9cca5d8523944e964ed98ced1dea56c5602b1",
   "amflow_output_sha256": "28b101b61528bed9a798f8874277829f87d05d884790455e80881021543d441a",
   "provenance": "Held out of the PSLQ fit (closeF_eps0.py HELDOUT): the closed form and its three coefficients were fixed by 2026-06-18T12:44:59Z (verify_closeF.json; closeF_eps0.py 2026-06-18T01:08:52Z); this goal-280 value finished 2026-06-18T13:12:01Z (the output file's timestamp), wall 7:28:15 at 16 threads, max RSS 1635660 kB; d = 2 - 2 eps, s = -3, squared masses 1, 1, 4; eps order 11. The AMFlow input configuration has sha256 cd9f5451a9eb678197114a9276b9cca5d8523944e964ed98ced1dea56c5602b1; the AMFlow output file has sha256 28b101b61528bed9a798f8874277829f87d05d884790455e80881021543d441a. The printed ball radius 4.30e-290 puts 289 digits in the ball; the gate caps at min(289, working precision)."
  },
  {
   "t_num": -7,
   "t_den": 1,
   "oracle_mid": "-1.173612885903721499321535413304259348989467754023520430283307324727180381506407693272495877110903781698473813625950779208351909080492981231567977920481724270498",
   "oracle_digits": 160,
   "held_out_in_pslq_fit": true,
   "in_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 160 digits; never in the PSLQ fit (verify-grid point); fit-era verify-grid reference (landed during the June 2026 fit, before verify_closeF.json)",
   "amflow_goal_digits": 150,
   "amflow_eps_order": 9,
   "amflow_ball_radius": "7.00e-161",
   "amflow_ball_digits": 160,
   "amflow_config_sha256": "d53c2be3c110d310c679c9381ac431f0782f96565f5c3a164782647fe27b6375",
   "amflow_output_sha256": "a29a6181b6b37233f9240f532e9d27e66718dc3a3d06f89569850f33ac7107b0",
   "provenance": "Never in the PSLQ fit (closeF_eps0.py TRAIN = t=-5,-2,-1,-1/2); verify-grid point of verify_closeF.json; a FIT-ERA reference: it landed during the June 2026 fit, before verify_closeF.json, and was never a prediction filed before the oracle ran (neither a fit point nor the designated held-out point); goal-150 run: d = 2 - 2 eps, s = -7, squared masses 1, 1, 4; eps order 9; 16 threads. The AMFlow input configuration has sha256 d53c2be3c110d310c679c9381ac431f0782f96565f5c3a164782647fe27b6375; the AMFlow output file has sha256 a29a6181b6b37233f9240f532e9d27e66718dc3a3d06f89569850f33ac7107b0. The printed ball radius 7.00e-161 puts 160 digits in the ball; the gate caps at min(160, working precision)."
  },
  {
   "t_num": -9,
   "t_den": 1,
   "oracle_mid": "-1.128038676179431861924871184562074727194529558749693211688363551136479155507747966515691536233137665195275126222814720183372878920030199978505530901424699141850",
   "oracle_digits": 159,
   "held_out_in_pslq_fit": true,
   "in_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 159 digits; never in the PSLQ fit (the evaluator's prediction at this point was filed before the run)",
   "amflow_goal_digits": 150,
   "amflow_eps_order": 11,
   "amflow_ball_radius": "2.43e-160",
   "amflow_ball_digits": 159,
   "amflow_config_sha256": "5f447150a009b886208ffdcef08c4301ae33c788b3353ef7a762a93e670b922a",
   "amflow_output_sha256": "28599a01175d181aedad14f32905a3eee1a219a261a5cf92923718e8242143a5",
   "provenance": "Never in the PSLQ fit (closeF_eps0.py TRAIN = t=-5,-2,-1,-1/2; HELDOUT = t=-3) and off the record verifier's grid; the served evaluator's value at this point was filed 2026-09-06T14:31:40Z (that filing has sha256 44565ed07af2a2862c46d0207dbc3a1edf4961d8ae608f1bafd4bf6d9254916e) BEFORE this goal-150 run: d = 2 - 2 eps, s = -9, squared masses 1, 1, 4; eps order 11; 4 threads; wall 25:12.41, max RSS 545264 kB on a shared host under load (2026-09-06). The AMFlow input configuration has sha256 5f447150a009b886208ffdcef08c4301ae33c788b3353ef7a762a93e670b922a; the AMFlow output file has sha256 28599a01175d181aedad14f32905a3eee1a219a261a5cf92923718e8242143a5. A goal-100 twin (configuration sha256 ec245914ea878befebd7461c2fec7acbe972329298e608ec5e757300059cadc5, output sha256 4f14f5e58967d972b44e43834cb707ad077918bfa39f442705dbb70eaf9bb7a8) agrees with it to 109 digits. The printed ball radius 2.43e-160 puts 159 digits in the ball; the gate caps at min(159, working precision)."
  },
  {
   "t_num": -11,
   "t_den": 1,
   "oracle_mid": "-1.087064137816296680859645059334558943383749368538458121036608994713502811938769244951275578404248297331652380675153109165782102213618480256551059105152018138176",
   "oracle_digits": 159,
   "held_out_in_pslq_fit": true,
   "in_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 159 digits; never in the PSLQ fit (the evaluator's prediction at this point was filed before the run)",
   "amflow_goal_digits": 150,
   "amflow_eps_order": 11,
   "amflow_ball_radius": "2.66e-160",
   "amflow_ball_digits": 159,
   "amflow_config_sha256": "def95d323c78c28f39c9afc8e4890c9c1e46ccdcc95f11467cabe3fa44bdb58c",
   "amflow_output_sha256": "e5dd9a57293b11bfa1676d5318da87776e47e82c9608d20a85de35a86c037bc1",
   "provenance": "Never in the PSLQ fit (closeF_eps0.py TRAIN = t=-5,-2,-1,-1/2; HELDOUT = t=-3) and off the record verifier's grid; the served evaluator's value at this point was filed 2026-09-06T14:31:40Z (that filing has sha256 44565ed07af2a2862c46d0207dbc3a1edf4961d8ae608f1bafd4bf6d9254916e) BEFORE this goal-150 run: d = 2 - 2 eps, s = -11, squared masses 1, 1, 4; eps order 11; 4 threads; wall 25:48.19, max RSS 538144 kB on a shared host under load (2026-09-06). The AMFlow input configuration has sha256 def95d323c78c28f39c9afc8e4890c9c1e46ccdcc95f11467cabe3fa44bdb58c; the AMFlow output file has sha256 e5dd9a57293b11bfa1676d5318da87776e47e82c9608d20a85de35a86c037bc1. A goal-100 twin (configuration sha256 cdd6103c0336237c2a4cb4e1fbb91bdce822d27126384a3b9be8c40547af889e, output sha256 f20380482a0663a91e8c94da4efd8638cb22ad90aee6a5c1fd2c2529abc3503e) agrees with it to 109 digits. The printed ball radius 2.66e-160 puts 159 digits in the ball; the gate caps at min(159, working precision)."
  }
 ],
 "paper_literals": [
  {
   "t_num": -7,
   "t_den": 1,
   "E0": "-3.3260720",
   "where": "paper, sunrise-family section, 'Reference values for an independent re-check', (1,1,4) eps^0 item, t = -7 (8 printed digits, trailing digits truncated)"
  }
 ],
 "paper_claims": [
  {
   "held_out_digits": 289,
   "text": "held out to 289 digits at t=-3",
   "where": "paper, sunrise-family section, 'Reference values for an independent re-check', (1,1,4) eps^0 item",
   "measured_over": "held_out_points",
   "at_t_num": -3,
   "at_t_den": 1
  },
  {
   "held_out_digits": 159,
   "text": "held out to 159 digits at t=-9",
   "where": "paper, sunrise-family section, 'Reference values for an independent re-check', (1,1,4) eps^0 item",
   "measured_over": "held_out_points",
   "at_t_num": -9,
   "at_t_den": 1
  },
  {
   "held_out_digits": 159,
   "text": "held out to 159 digits at t=-11",
   "where": "paper, sunrise-family section, 'Reference values for an independent re-check', (1,1,4) eps^0 item",
   "measured_over": "held_out_points",
   "at_t_num": -11,
   "at_t_den": 1
  }
 ]
}