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  ]
 },
 "distance": {
  "d": 22,
  "X": {
   "value": 22,
   "confidence": "upper_bound",
   "witness": [
    3,
    4,
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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": 22,
   "confidence": "upper_bound",
   "witness": [
    3,
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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_13 x Z_8 (n = 2lm = 208) with A = x^2y^5 + y^4 + x^4y^2 + x^4y^3 and B = x^5 + y^7 + x^6y^2 + x^3y^5, H_X = [A | B], H_Z = [B^T | A^T]; built by research/kit/bb.build_bb(l=13, m=8, A_terms=[[2, 5], [0, 4], [4, 2], [4, 3]], B_terms=[[5, 0], [0, 7], [6, 2], [3, 5]]).",
  "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": "2026-10-22",
  "notes": "Unattended loop run on Perlmutter, iteration 222, direction bb-w4-mid, seed 20261239. The deeper rungs recorded in notes/ agree with the gate's reading of d = 22.",
  "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"
}