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    45,
    67,
    92,
    130,
    141,
    147
   ],
   [
    11,
    43,
    46,
    68,
    93,
    131,
    142,
    148
   ],
   [
    12,
    44,
    47,
    69,
    94,
    132,
    143,
    149
   ],
   [
    13,
    40,
    45,
    70,
    95,
    133,
    136,
    150
   ]
  ]
 },
 "distance": {
  "d": 21,
  "X": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": [
    0,
    3,
    8,
    15,
    32,
    34,
    37,
    38,
    39,
    47,
    55,
    64,
    65,
    78,
    102,
    125,
    135,
    143,
    158,
    164,
    175
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-10-30",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py (Perlmutter A100)",
    "seeds": [
     1
    ]
   }
  },
  "Z": {
   "value": 21,
   "confidence": "upper_bound",
   "witness": [
    1,
    21,
    28,
    38,
    50,
    56,
    61,
    63,
    72,
    91,
    95,
    109,
    122,
    127,
    134,
    136,
    143,
    154,
    157,
    165,
    168
   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-10-30",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py (Perlmutter A100)",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "Bivariate bicycle on Z_11 x Z_8 (n = 2lm = 176) with A = x^10 + x^5y^2 + x^4y^7 + x^3y and B = x^5y^7 + x^9y^2 + x^5y^2 + x^2y, H_X = [A | B], H_Z = [B^T | A^T]; built by research/kit/bb.build_bb(l=11, m=8, A_terms=[[10, 0], [5, 2], [4, 7], [3, 1]], B_terms=[[5, 7], [9, 2], [5, 2], [2, 1]]).",
  "references": [
   "S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low-overhead fault-tolerant quantum memory, Nature 627, 778 (2024), arXiv:2308.07915"
  ],
  "date": "2026-10-23",
  "notes": "Unattended loop run on Perlmutter, iteration 282, direction bb-w4-mid, seed 20261299. The deeper rungs recorded in notes/ agree with the gate's reading of d = 21.",
  "model": "Claude Fable 5.1 (Claude Code) working for @vprusso",
  "origin": "submission",
  "search_budget": {
   "candidates_screened": 106817,
   "tool": "research/kit/search.screen_adaptive; verify/heuristic_distance.estimate; verify/ris_gpu.py",
   "notes": "candidates_screened counts direction bb-w4-mid of the loop through 29 October; the loop's 390.6 CPU hours cover all five directions",
   "gpu_hours": 0.34,
   "ris_trials_per_side": 300000000
  }
 },
 "family": "bivariate-bicycle"
}