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   }
  },
  "Z": {
   "value": 10,
   "confidence": "upper_bound",
   "witness": [
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   "witness_provenance": {
    "found_by": [
     "@dorakingx"
    ],
    "date": "2026-09-11",
    "found_at_samples": 4000,
    "survived_samples": 20000000,
    "tool": "gf2_fast RIS in the packaging search; the ladder searched both sides jointly",
    "seeds": [
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 "provenance": {
  "authors": [
   "@dorakingx"
  ],
  "construction": "Reduction of the board's codes/181-12-10.json ([[181,12,10]]) by 17 qubits at unchanged k and check-weight class, using three moves. (1) Restricted r=1 lattice grafting (Liang, Eberhardt, Chen, arXiv:2504.08887, Sec. III E): a qubit lying in exactly one stabilizer of some type is removed together with that stabilizer, which preserves CSS commutation automatically because no other same-type row touches it. (2) Weight-1 stabilizer cleanup (Sec. III D step 4, research/local2d/boundary_engine.py _cleanup), which runs no distance search because it needs none: a qubit carrying a weight-1 stabilizer cannot appear in any opposite-type check, so multiplying that row into the same-type rows containing it and deleting the qubit preserves k and the distance exactly. (3) Capped merge-graft, new here: when a qubit lies in exactly r <= 3 stabilizers of one type, pick a pivot row R_p and replace every other R_i by R_p + R_i -- row operations on the stabilizer generators, so the code is unchanged and only the generating set moves -- after which the qubit sits in R_p alone and move (1) applies. Every choice of pivot is tried, since each gives a different resulting code. Unlike the first two moves this one can enlarge a check, so every merged row is accepted only if it still has weight at most 8 and, in the source's own layout, a support diameter within the locality class's cap; the whole layout radius is re-measured after every accepted move. Acceptance also requires k unchanged and a bit-packed RIS search finding nothing lighter than 10, screened then confirmed at a deeper rung. Those in-loop rungs are a filter, not the evidence: the claim below rests on the separate fresh-seed ladder. QUBIT POSITIONS ARE THE SOURCE'S: every surviving qubit keeps the coordinate it has in codes/181-12-10.json, so the layout is inherited rather than re-derived, and the reduction only deletes. The surviving qubits' indices into the source numbering are [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]... (full list implied by the coordinates in this file).",
  "references": [
   "arXiv:2504.08887"
  ],
  "date": "2026-09-11",
  "notes": "Derived from codes/181-12-10.json, not an independent construction; the source's authors are @mathysrennela and the reduction is mine. The gate reports no exact duplicate and no WL-equivalent entry. It dominates [[181,12,10]], [[183,12,10]] on (n, k, d, w), which therefore leave the frontier of every cell they share with it. The measured interaction radius is unchanged at 6.7082, so the reduced code is no less local than the source. Distance is a witness-backed upper bound: the deepest null result is 20000000 fresh-seed RIS trials. Literature novelty is unverified.",
  "model": "Claude Opus 5 (Claude Code)",
  "origin": "submission",
  "novelty": "unknown"
 },
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