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    140,
    141,
    144,
    147,
    207
   ],
   [
    130,
    138,
    139,
    145,
    146,
    149,
    152,
    154,
    208
   ],
   [
    138,
    139,
    143,
    147,
    148,
    151,
    153,
    159,
    209
   ],
   [
    160,
    164,
    168,
    169,
    178,
    183,
    186,
    189,
    201
   ],
   [
    160,
    163,
    164,
    165,
    172,
    176,
    180,
    184,
    202
   ],
   [
    160,
    167,
    169,
    171,
    174,
    175,
    178,
    187,
    203
   ],
   [
    161,
    165,
    168,
    176,
    177,
    182,
    187,
    190,
    204
   ],
   [
    166,
    174,
    176,
    177,
    181,
    185,
    187,
    190,
    205
   ],
   [
    162,
    172,
    179,
    180,
    182,
    183,
    185,
    188,
    206
   ],
   [
    160,
    161,
    164,
    167,
    172,
    173,
    176,
    179,
    207
   ],
   [
    162,
    170,
    171,
    177,
    178,
    181,
    184,
    186,
    208
   ],
   [
    170,
    171,
    175,
    179,
    180,
    183,
    185,
    191,
    209
   ]
  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    41,
    47,
    55,
    60,
    105,
    111,
    119,
    124
   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
    0,
    10,
    16,
    28,
    128,
    138,
    144,
    156
   ]
  }
 },
 "provenance": {
  "authors": [
   "@nihoniumqc"
  ],
  "construction": "Central CSS tensor product of board inputs 6-4-2 and 32-14-4, in that order, using arXiv:2609.37231 Eqs. (14)-(15). Retained zero-based X/Z row indices: [[0], [0], [0, 1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 6, 7, 8]]. Input attribution: 6-4-2: @MathysRennela; 32-14-4: @vprusso. The research note gives the complete reproducible matrix recipe.",
  "references": [
   "https://arxiv.org/abs/2609.37231",
   "https://arxiv.org/abs/1512.07081"
  ],
  "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": 0.006794880254722213,
   "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"
}