{
 "id": "LIB2-162",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The registered breathing weight is mirror-even and charge-blind",
 "statement": "The registered trace-free breathing excitation of the alpha-plus-three-body bridge has weight Δbr = ϕ⁻¹⁵ − ϕ⁻¹⁸ and is mirror-even and charge-blind.",
 "scope": {
  "carrier": "The trace-free breathing generator in the frozen cluster menu",
  "domain": "The typed breathing weight, distinct from the Hoyle comparison and its energy interface.",
  "group": null,
  "hypotheses": [
   "Use the registered bridge typing and the existing triangle/heptad and annulus weights."
  ],
  "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": 130
 },
 "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": "§7, Breathing-kernel typing",
  "pdf_page": 134,
  "quote": "The breathing kernel (A1357): the same object, typed — the trace-free breathing excitation of the α + 3-body bridge, mirror-even and charge-blind, priced by"
 },
 "caution": "The weight does not determine whether the excitation occurs in every parent typing; the A = 8 accounting remains open.",
 "candidate_ids": [
  "C2-073",
  "C2-075"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-143"
  },
  {
   "type": "related_to",
   "target": "LIB2-152"
  },
  {
   "type": "related_to",
   "target": "LIB2-144"
  }
 ],
 "url": "/library-v2/LIB2-162/",
 "content_sha256": "e79529b00eb34fe0e4d74e597976bd28e4a144f399bb8b8f8dbb9efd07191f68",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}