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  ]
 },
 "distance": {
  "d": 8,
  "X": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 8,
   "confidence": "upper_bound",
   "witness": [
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "contributed via qldpc submit",
  "origin": "submission",
  "date": "2026-09-18",
  "model": "DeepSeek V4 Flash 0731",
  "notes": "Checked against the board: not equivalent to any existing entry (gate dedup clean)."
 },
 "family": "lifted-product"
}