{
 "id": "LIB2-056",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The selected winding symmetry model has one scale class",
 "statement": "For the banked Sym(Wind) census with ncyl = 2, the scale-class count is dim H²(Sym;R+) = 1, with the area cocycle as generator.",
 "scope": {
  "carrier": "The banked winding symmetry census and its area cocycle",
  "domain": "One cohomology class in the selected symmetry model, not an exhaustive physical input census.",
  "group": "Sym(Wind) as registered",
  "hypotheses": [
   "Use the banked Sym(Wind) identification and its two-cylinder census."
  ],
  "physical_target": null,
  "quantifier": "The registered construction only.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 269
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix P",
  "section": "§2, Theorem 2.4: census and cocycle",
  "pdf_page": 285,
  "quote": "banked symmetry census (ncyl = 2): the generator is the area cocycle; the physical (both-flip) mirror preserves the class;"
 },
 "caution": "The count does not establish exhaustiveness of the symmetry model or determine the numerical value of the physical scale.",
 "candidate_ids": [
  "C2-028",
  "C2-069",
  "C2-080"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "cited_by_section",
   "target": "E-C05.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-056/",
 "content_sha256": "a8a7aef7838955ddcb4494ec2daa7377e6fdad4fad745d98ca191ef69d98492f",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}