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    140,
    141,
    146,
    147,
    148,
    149,
    194
   ],
   [
    142,
    143,
    144,
    145,
    146,
    147,
    148,
    149,
    195
   ],
   [
    150,
    152,
    154,
    156,
    158,
    160,
    162,
    164,
    188
   ],
   [
    151,
    152,
    155,
    156,
    159,
    160,
    163,
    164,
    189
   ],
   [
    153,
    154,
    155,
    156,
    161,
    162,
    163,
    164,
    190
   ],
   [
    157,
    158,
    159,
    160,
    161,
    162,
    163,
    164,
    191
   ],
   [
    165,
    167,
    169,
    171,
    173,
    175,
    177,
    179,
    188
   ],
   [
    166,
    167,
    170,
    171,
    174,
    175,
    178,
    179,
    189
   ],
   [
    168,
    169,
    170,
    171,
    176,
    177,
    178,
    179,
    190
   ],
   [
    172,
    173,
    174,
    175,
    176,
    177,
    178,
    179,
    191
   ]
  ]
 },
 "distance": {
  "d": 6,
  "X": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    6,
    105,
    110,
    111
   ]
  },
  "Z": {
   "value": 6,
   "confidence": "upper_bound",
   "witness": [
    81,
    84,
    87,
    156,
    159,
    162
   ]
  }
 },
 "provenance": {
  "authors": [
   "@nihoniumqc"
  ],
  "construction": "Central CSS tensor product of board inputs 12-8-2 and 15-7-3, in that order, using arXiv:2609.37231 Eqs. (14)-(15). Retained zero-based X/Z row indices: [[0, 2], [0, 2], [0, 1, 2, 3], [0, 1, 2, 3]]. Input attribution: 12-8-2: @MathysRennela; 15-7-3: @FarLab. The research note gives the complete reproducible matrix recipe.",
  "references": [
   "https://arxiv.org/abs/2609.37231",
   "https://arxiv.org/abs/1512.07081",
   "https://arxiv.org/abs/2306.16400"
  ],
  "date": "2026-10-03",
  "notes": "Known tensor construction; literature novelty unverified. Final duplicate and WL-signature checks use upstream da1f2c0a1611b215376b249c139f4951e2394418. Neither check constitutes exhaustive equivalence testing. X and Z distances remain witnessed upper bounds.",
  "model": "GPT-6",
  "origin": "submission",
  "novelty": "unknown",
  "search_budget": {
   "candidates_screened": 7,
   "tool": "RIS pilot and witness-returning confirmation",
   "wall_clock_hours": 0.007363373993055563,
   "notes": "The table reports confirmation after the initial 500-trial-per-side pilot. The deepest rung is one million trials per side.",
   "ris_trials_per_side": 1000000
  }
 },
 "family": "other"
}