{
 "id": "LIB2-110",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The loaded split-octonion cubic has a nonzero invariant trilinear",
 "statement": "The split-octonion trilinear T(c,b,a) = Re(c·(b·a)) is nonzero and invariant under Der(Os) in the registered loaded cubic channel.",
 "scope": {
  "carrier": "The trilinear on the loaded Albert cubic channel",
  "domain": "Existence and invariance of the trilinear, not uniqueness of all invariant trilinears.",
  "group": "Der(Os) = g2(2)",
  "hypotheses": [
   "Use the split-octonion product and the source's ordered trilinear channel."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": "Split octonions and J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 228
 },
 "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 K",
  "section": "§2.1, Theorem 2.1: trilinear",
  "pdf_page": 239,
  "quote": "T (c, b, a) = Re c · (b · a)"
 },
 "caution": "The existence of this invariant does not establish its uniqueness or determine physical Yukawa coefficients.",
 "candidate_ids": [
  "C2-052"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-110/",
 "content_sha256": "66c7534e7903234eac5d74531e82254d85c9175413a42408935840b4e526c822",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}