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 },
 "distance": {
  "d": 30,
  "X": {
   "value": 45,
   "confidence": "upper_bound",
   "witness": [
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   ],
   "witness_provenance": {
    "found_by": [
     "@vprusso"
    ],
    "date": "2026-09-25",
    "found_at_samples": 300000000,
    "survived_samples": 300000000,
    "tool": "verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified)",
    "seeds": [
     4101
    ]
   }
  },
  "Z": {
   "value": 30,
   "confidence": "upper_bound",
   "witness": [
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@edoaltamura"
  ],
  "construction": "Generalized bicycle / regular lifted product over the metacyclic group C_22 semidirect C_15 with action r=5: H_X=[L(a)|R(b)], H_Z=[R(b)^T|L(a)^T], a=[18,142,163,293], b=[73,147,201,215], following arXiv:2306.16400.",
  "references": [
   "arXiv:2306.16400"
  ],
  "origin": "submission",
  "date": "2026-08-28",
  "model": "GPT-5",
  "notes": "Metacyclic 2BGA search. Screening archive: 1,200 random support mutations at 120 RIS trials; independent RIS checks at 1M, 2M, and 5M trials settled at d<=30 by 2M and held at 5M. Upper-bound confidence. Checked against the current board: no exact fingerprint or WL-equivalent entry; literature novelty remains unverified."
 },
 "family": "generalized-bicycle"
}
