{
 "_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. held_out_in_pslq_fit marks the reference points that were held out of the PSLQ identification: 2 of the 6 points here, t = -3 (the record's, 2026-06) and t = -9 (2026-09-06, after the closed form was fixed and the served evaluator's value at t = -9 filed); no other point is flagged. 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 count the paper's own sentence states there (its `text` is the paper's wording, quoted), which the evaluator measures as the worst agreement over the 6 reference points (two of them, t = -3 and t = -9, held out of the fit).",
 "row": 10,
 "family": "sun123",
 "masses_sq": [
  1,
  2,
  3
 ],
 "gate_points": [
  {
   "t_num": -1,
   "t_den": 3,
   "oracle_mid": "-1.243506262771417933387193245599882919058726128221754267786130919134048207115945286160730263118832947509437269984188955981417503871368677511873803862184216256412798124538117067415768855774812",
   "oracle_digits": 189,
   "held_out_in_pslq_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 189 digits"
  },
  {
   "t_num": -1,
   "t_den": 1,
   "oracle_mid": "-1.222999405866538014484513662682718992185287552124111563145122214141333700969968346467921291667290146906571091578648678275153501722692516410182539696127929812312113461955149317134823500683759755903173260950498756472630253856367651996817874324027444609411617165110993429098359451146239321793157756576233100644222",
   "oracle_digits": 309,
   "held_out_in_pslq_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 309 digits"
  },
  {
   "t_num": -3,
   "t_den": 1,
   "oracle_mid": "-1.166861129923008182967470991079174908746885955230008436576682841274898213004062276290513339904240762522697264446129846641104025539369541524758845570501076505872641356754285747848313927163766",
   "oracle_digits": 189,
   "held_out_in_pslq_fit": true,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 189 digits; held out of the PSLQ fit"
  },
  {
   "t_num": -5,
   "t_den": 1,
   "oracle_mid": "-1.117499381893597773066147567586307132147258018640973011407776385843677788428042750639786427094041562135486881825212808345974282961540947503931022451528258232641023940032165072616452141784770",
   "oracle_digits": 189,
   "held_out_in_pslq_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 189 digits"
  },
  {
   "t_num": -7,
   "t_den": 1,
   "oracle_mid": "-1.073624319028161941046716411279482557507228875677294170255027462573977824299589492307479272764552234403859462564594529142690010754444849862469872102066429813915786234677879864363619601005251",
   "oracle_digits": 189,
   "held_out_in_pslq_fit": false,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 189 digits"
  },
  {
   "t_num": -9,
   "t_den": 1,
   "oracle_mid": "-1.034270487719838397538544632285308095890118858718956516501774240164063858862561258683300381650059502968042276465175887054645725047543372803726637001979571316476",
   "oracle_digits": 159,
   "held_out_in_pslq_fit": true,
   "source": "AMFlow independent reference (d=2-2eps, master (1,1,1,0,0), eps^0 coeff, arb ball), 159 digits; held out of the PSLQ fit (never among the record's fit grid t=-7,-5,-2,-1,-1/2,-1/3; computed 2026-09-06 after the closed form and its coefficients were fixed and after the served evaluator's value at this point was filed)",
   "amflow_goal_digits": 150,
   "amflow_eps_order": 11,
   "amflow_n_thread": 4,
   "amflow_ball_radius": "4.82e-160",
   "amflow_ball_digits": 159,
   "amflow_config_sha256": "9e96f61204349e824e120de4d1f698797a35c13d229d7b5d7bcce435fea9ce30",
   "amflow_output_sha256": "9c699eedd03d8e7f239e47758804d0f83a1dff889e9cb5d44649f232b06a6c06",
   "amflow_wall": "27:13.82",
   "amflow_max_rss_kb": 503864,
   "run_direction": "NegRe",
   "prediction_filed_before_the_run_sha256": "0999757a4ba45e5519695408caa6ff4daf32ae3c5aff9848503495c0043baee2",
   "provenance": "Held out of the PSLQ fit: computed with AMFlow at t = -9 (numeric s = -9, squared masses 1, 2, 3; d = 2 - 2 eps; requested goal 150 digits; eps order 11; 4 threads; run direction NegRe) on 2026-09-06, after the closed form and its three rational coefficients were fixed and after this evaluator's value at t = -9 had been filed (2026-09-06T14:26:09Z; that filing has sha256 0999757a4ba45e5519695408caa6ff4daf32ae3c5aff9848503495c0043baee2), so this value never entered the identification and the comparison was a prediction. The AMFlow input configuration has sha256 9e96f61204349e824e120de4d1f698797a35c13d229d7b5d7bcce435fea9ce30; the AMFlow output file has sha256 9c699eedd03d8e7f239e47758804d0f83a1dff889e9cb5d44649f232b06a6c06. Wall 27:13.82 at 4 threads on a shared host under load, max RSS 503864 kB. The printed ball radius 4.82e-160 puts 159 digits in the ball; the gate's agreement is capped at min(159, working precision)."
  }
 ],
 "paper_literals": [],
 "paper_claims": [
  {
   "held_out_digits": 139,
   "text": "held out to 139-159 digits",
   "where": "paper, sunrise-family section, 'Reference values for an independent re-check', (1,2,3) eps^0 item"
  }
 ]
}