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  ]
 },
 "distance": {
  "d": 27,
  "X": {
   "value": 27,
   "confidence": "upper_bound",
   "witness": [
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   ],
   "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": 27,
   "confidence": "upper_bound",
   "witness": [
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   "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_16 x Z_10 (n = 2lm = 320) with A = x^14y^2 + x^3y^9 + x^3y^2 + x^10y^5 and B = x^8y^2 + x^2y + xy + x^3y^3, H_X = [A | B], H_Z = [B^T | A^T]; built by research/kit/bb.build_bb(l=16, m=10, A_terms=[[14, 2], [3, 9], [3, 2], [10, 5]], B_terms=[[8, 2], [2, 1], [1, 1], [3, 3]]).",
  "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 427, direction bb-w4-mid, seed 20261444. The loop gate's 8,000-trial search read d = 29; the deeper rungs recorded in notes/ read 27, and the document carries those witnesses.",
  "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"
}
