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  ]
 },
 "distance": {
  "d": 7,
  "X": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    0,
    5,
    16,
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    128,
    233,
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   ]
  },
  "Z": {
   "value": 7,
   "confidence": "upper_bound",
   "witness": [
    0,
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    160,
    244,
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@hirobumii"
  ],
  "construction": "Cyclic F5 cellular cover of the catalog [[150,32,6]] {5,5} surface. Edge e is oriented from its smaller-index incident X check u to the larger v. With explicit flat voltage alpha[e], lifted edge (e,s) joins (u,s) to (v,s+alpha[e] mod 5); face boundaries lift by cumulative signed voltage. Delete the final X row and final Z row, each redundant.",
  "references": [
   "https://arxiv.org/abs/1506.04029"
  ],
  "date": "2026-10-17",
  "notes": "Displayed presentation: maximum check weight 5, maximum qubit degree 4, 598 checks and total incidence 2990.",
  "model": "GPT-6 Astra + GPT-6.1 Sol (recorded multi-agent configuration)"
 },
 "family": "topological"
}
