{
 "id": "LIB2-149",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The residual-circulation weights obey the printed piecewise rule",
 "statement": "The registered residual trace weights are ε5 = −ϕ⁻², ε6 = 0 and εn = ϕ^(5−n) for n ≥ 7.",
 "scope": {
  "carrier": "The residual boundary-circulation weights in the finite n-gon quotient",
  "domain": "The three cases of the finite trace-selection rule.",
  "group": null,
  "hypotheses": [
   "Use the quotient and Markov trace of the composition ladder.",
   "The pentagon, hexagon and higher-cell cases have the source's specified annular typing."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated premises.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 129
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Paper 9",
  "section": "§6, Pentagon residual trace",
  "pdf_page": 133,
  "quote": "ε5 = −φ−2 (the pentagon F -move coherence loop: the killed channel appears once, negative trace),"
 },
 "caution": "The piecewise weight rule does not by itself define a physical energy correction or justify an untyped change to a binding formula.",
 "candidate_ids": [
  "C2-077"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-148"
  },
  {
   "type": "related_to",
   "target": "LIB2-144"
  }
 ],
 "url": "/library-v2/LIB2-149/",
 "content_sha256": "fe0dccdd211bcf83c37e8d3c29da4d859a5f6566da031df2df98f94ce13e8fc3",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}