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 },
 "distance": {
  "d": 18,
  "X": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
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  },
  "Z": {
   "value": 18,
   "confidence": "upper_bound",
   "witness": [
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   ]
  }
 },
 "provenance": {
  "authors": [
   "Dongheng Qian",
   "Tianyi Li",
   "@mathysrennela"
  ],
  "construction": "Free-action abelian 2BGA / lifted product over Z_13 x Z_9, with A support {(0,0),(0,2),(0,8),(4,4),(6,8)} and B support {(2,8),(5,4),(10,2),(11,5),(12,0)}, from the Supplementary Information construction data for arXiv:2608.08996v1.",
  "references": [
   "arXiv:2608.08996"
  ],
  "date": "2026-08-10",
  "notes": "The paper reports exact d=18 by MILP. This staged record uses repository witnesses and therefore retains upper_bound confidence until trusted certification.",
  "model": "GPT-5.6 Luna",
  "origin": "submission",
  "novelty": "known_parameters"
 },
 "family": "lifted-product"
}