{
 "id": "LIB2-117",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The edge-uniform parent metric has zero relative Yukawa rank",
 "statement": "At the registered golden vacuum, the parent edge-residue map has rank 1 and relative rank 0 because all four Yukawa channels see the same product of edge-uniform positive metrics.",
 "scope": {
  "carrier": "The reflected cubic-cone kinetic metric and its three off-diagonal Peirce edges",
  "domain": "The edge-uniform two-derivative parent geometry, not arbitrary physical residues.",
  "group": null,
  "hypotheses": [
   "Use GAB = ∂A∂B[−log N] at the registered unit-norm golden vacuum.",
   "Every loaded Yukawa vertex draws one field from each of the three Peirce edges."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": "J3(Os) with the registered reflected positive metric"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 231
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "analytic",
   "availability": "shipped"
  },
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix K",
  "section": "§3.6, Edge-uniform metrics",
  "pdf_page": 242,
  "quote": "On the three off-diagonal Peirce edges the reflected positive metrics are component-uniform scalars,"
 },
 "caution": "The zero relative rank belongs to this parent geometry and does not exclude more general symmetry-breaking residues.",
 "candidate_ids": [
  "C2-049"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-115"
  }
 ],
 "url": "/library-v2/LIB2-117/",
 "content_sha256": "74b1198234892e5f2219243fa0725534aea640c4d1129f33b453e193ac0fb8be",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}