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 "provenance": {
  "authors": [
   "@yifanhong"
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  "origin": "submission",
  "novelty": "known_parameters",
  "construction": "Balanced/lifted product over Z_15 semidirect-product_11 Z_2, with weight-3 group-ring entries a=1+x^11+x^12y, b=1+y+x^6y, c=1+x^3+x^11, d=1+x^6+x^14y; reproduced from arXiv:2607.27644v1.",
  "model": "GPT 5.6 Sol",
  "references": [
   "arXiv:2607.27644v1"
  ],
  "date": "2026-08-02",
  "notes": "Published in Table 8 (Appendix A) of arXiv:2607.27644v1; fresh QDistEvol witnesses reproduced for this contribution. Layout added 2026-09-25 by @MathysRennela: bilayer coordinates with interaction radius 7.0 (research/local2d/hinge_anneal.py)."
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  "layers": 2,
  "interaction_radius": 7.0,
  "contributed_by": {
   "by": [
    "@MathysRennela"
   ],
   "date": "2026-09-25",
   "method": "Hinge-cost simulated annealing over integer/half/quarter-integer lattice sites (penalty 1e6 x sum of squared cap violations at radius 7.0 + squared diameters; min site spacing 1.0, capacity 2/site), 12 jobs seeds 0-3; research/local2d/hinge_anneal.py"
  }
 }
}