{
 "id": "LIB2-119",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The same-block Peirce contraction extracts the unit middle weight",
 "statement": "In the registered same-block (1,3) Peirce carrier, the cubic invariant extracts the middle vacuum weight λ2 = 1.",
 "scope": {
  "carrier": "The same-block carrier fields and the golden vacuum contraction",
  "domain": "The internal carrier eigenvalue, not the literal cross-block Standard-Model Yukawa.",
  "group": null,
  "hypotheses": [
   "Place the two carrier fields in the same (1,3) Peirce block.",
   "Use the source's Freudenthal cross-product and trace normalization."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": "J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 140
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "analytic",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix A",
  "section": "§A.6, W01: internal carrier result",
  "pdf_page": 145,
  "quote": "the cubic invariant, evaluated on the carrier field ΦH in the (1, 3) Peirce block, extracts the middle vacuum weight λ2 = 1."
 },
 "caution": "The unit carrier eigenvalue does not identify the physical Higgs, the renormalized coupling or the Planck scale.",
 "candidate_ids": [
  "C2-016"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-108"
  }
 ],
 "url": "/library-v2/LIB2-119/",
 "content_sha256": "b3f7c3fba3390dd13c5b59bb868277a939118f9188c57a9f95e2d598a7150290",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}