{
 "file": "laurent_coefficients_row33_20260909T043046Z.json",
 "stamp_utc": "2026-09-09T04:30:46Z",
 "purpose": "Table 2 row 33 (LBL3VP): the Laurent coefficients c_{-2}, c_{-1}, c_0, c_1 of the dispersive evaluation at the reference point (s, t, m^2) = (-1, -1/3, 1) at full length -- the strings the paper does not print in full (it prints at most 9 significant digits with an ellipsis and the digit claim as prose); the c_1 string copied from the tex bytes of the served paper and cross-checked by key against the receipts of record",
 "row": "33 (LBL3VP, box x Sigma_VP, N_f^2)",
 "point": {
  "s": "-1",
  "t": "-1/3",
  "m2": "1"
 },
 "tex_site": {
  "file": "Paper/split_2026-08-06/portfolio/sections/results/lbl3se.tex",
  "sha256": "50623a2f7f6081e79b1b2971e10c087b828fd3a8e881feb17fd1d735e99d4c4b",
  "line": 335,
  "from_clause": "$c_{1}=0.0397158224898438199221099322926909938299337788$, two-precision stable to $46$ digits",
  "from_count_noncomment": 1
 },
 "c_1": {
  "printed_in_tex_before_the_cure": "0.0397158224898438199221099322926909938299337788",
  "n_decimals": 46,
  "n_significant_digits": 45,
  "displayed_after_the_cure": "0.0397158224\\ldots",
  "display_rule": "the tex string truncated (never rounded) to 9 significant digits, followed by an ellipsis",
  "full_string_dps50": "0.03971582248984381992210993229269099382993377887190036284",
  "full_string_dps45": "0.039715822489843819922109932292690993829933778876751",
  "full_string_dps30": "0.039715822489843819922109932292689315",
  "two_precision_stable_prefix_dps50_vs_dps45": {
   "string": "0.03971582248984381992210993229269099382993377887",
   "n_chars": 49,
   "n_decimals": 47,
   "n_significant_digits": 46
  },
  "two_precision_digits_dps50_vs_dps45": 45.91316477143673,
  "two_precision_digits_dps50_vs_dps30": 31.373956856804153,
  "digit_claim_in_print": "two-precision stable to 46 digits (the sentence's claim, unchanged by this cure; 46 = the printed string's count of decimal places, the two-precision measure of record is 45.91316477143673)",
  "tex_prefix_of_dps50_receipt_string": true,
  "tex_prefix_of_dps45_receipt_string": true
 },
 "c_-2_c_-1_c_0": {
  "printed_forms_in_tex": {
   "c_-2": "-0.04540615\\ldots",
   "c_-1": "-0.01534480\\ldots",
   "c_0": "-0.14660534\\ldots"
  },
  "full_strings_dps50": {
   "c_-2": "-0.04540615882992855279735740284343326576838775073636710136",
   "c_-1": "-0.01534480520403455476536732386943130637126233650303775829",
   "c_0": "-0.1466053426200695281803505147176612969729858753520817864"
  },
  "full_strings_dps45": {
   "c_-2": "-0.045406158829928552797357402843433265768387750736367",
   "c_-1": "-0.015344805204034554765367323869431306371262336502274",
   "c_0": "-0.14660534262006952818035051471766129697298587535732"
  },
  "two_precision_digits_dps50_vs_dps45": {
   "c_-2": 50.65124816209285,
   "c_-1": 46.30300544240997,
   "c_0": 46.446966593446994
  },
  "vs_record_literals_d": {
   "eps^-2": 45.763513806051805,
   "eps^-1": 39.572799426752546,
   "eps^0_vs_50d_string": 35.310562374383686,
   "eps^0_vs_dual_leg": 39.23228126659403
  }
 },
 "receipts_of_record": {
  "receipt_dps50": {
   "path": "receipt_dps50.json (sha256 0c734c12256b880dba2f88c058f36cb324ca86fdb18b949559515ee77be65609)",
   "sha256": "0c734c12256b880dba2f88c058f36cb324ca86fdb18b949559515ee77be65609",
   "key": "laurent.eps^1 (and eps^-2, eps^-1, eps^0)",
   "producer_script_sha256": "b40828e4b6f345e54cc3524189b26972b5bdfd253414d3c2681a2621896fa924",
   "stamp": "2026-09-03T23:13:19Z"
  },
  "receipt_dps45": {
   "path": "receipt_dps45.json (sha256 1d296807d2a3ea4f3947e99a8499fd394b3c6855d7df12e4b722a90a77255a23)",
   "sha256": "1d296807d2a3ea4f3947e99a8499fd394b3c6855d7df12e4b722a90a77255a23",
   "key": "laurent.eps^1",
   "note": "v2 of the receipt (the producer sha at write time recorded); the gate's inputs list names its v1 sha"
  },
  "receipt_dps30": {
   "path": "receipt_dps30.json (sha256 eaaea026d2110144ad78907318001c93a100d1223e170087fb76cba9d1eb66e7)",
   "sha256": "eaaea026d2110144ad78907318001c93a100d1223e170087fb76cba9d1eb66e7",
   "key": "laurent.eps^1"
  },
  "gate_final": {
   "path": "gate_final_dps50_45_30.json (sha256 2fa26d296deca5ceae15ae7c16e756ae7c9594c2b8f4400e54c2b5ff92e3cfc2)",
   "sha256": "2fa26d296deca5ceae15ae7c16e756ae7c9594c2b8f4400e54c2b5ff92e3cfc2",
   "keys": "two_precision_d.dps50_vs_dps45 / dps50_vs_dps30; vs_record_literals_d; derived_laurent",
   "inputs_receipt_sha256": [
    "0c734c12256b880dba2f88c058f36cb324ca86fdb18b949559515ee77be65609",
    "2f9b7dc7db5df298fbb88e9cbfdf2666d8b47b85935e7810574a1041adeab280",
    "eaaea026d2110144ad78907318001c93a100d1223e170087fb76cba9d1eb66e7"
   ]
  },
  "verify_rerun": {
   "COMPARE_dps50": {
    "path": "COMPARE_dps50.json (sha256 6041b06afac974b9f3b46cb09d96aa48b4dc201abc389fc2d8611b507d2a5148)",
    "sha256": "6041b06afac974b9f3b46cb09d96aa48b4dc201abc389fc2d8611b507d2a5148",
    "laurent_strings_identical": {
     "eps^-2": true,
     "eps^-1": true,
     "eps^0": true,
     "eps^1": true
    },
    "worker_script_sha256": "b40828e4b6f345e54cc3524189b26972b5bdfd253414d3c2681a2621896fa924",
    "verify_script_sha256": "b40828e4b6f345e54cc3524189b26972b5bdfd253414d3c2681a2621896fa924"
   },
   "COMPARE_dps30": {
    "path": "COMPARE_dps30.json (sha256 99bb6466e415d7fd26b5480521b5c5ab4367ca827946619433acbd041c618715)",
    "sha256": "99bb6466e415d7fd26b5480521b5c5ab4367ca827946619433acbd041c618715",
    "laurent_strings_identical": {
     "eps^-2": true,
     "eps^-1": true,
     "eps^0": true,
     "eps^1": true
    }
   }
  }
 },
 "how_to_check": "the value script row33_laurent.py (sha256 b40828e4b6f345e54cc3524189b26972b5bdfd253414d3c2681a2621896fa924) (sha256 above; the eps^0 subtracted-integral route of tools/rowscripts/row33_eps0.py extended one order, reads no oracle) at dps 50 and dps 45 reproduces the strings byte for byte (verify_rerun/); the served page evaluator lbl3vp-eps0-evaluate.py in this directory computes c_0 by the same route",
 "PRODUCER": {
  "script": "emit_dd_datafile_lbl3vp.py",
  "script_sha256": "13e6e8febc8fc02be524e1f5c66166dad54e6be201dba914e98f396d28d6fbd6",
  "stamp_source": "date -u"
 }
}