{
 "id": "LIB2-049",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The octonion-dimension to Jordan-rank ratio is an internal identity",
 "statement": "The ratio dim(Os)/rank(J3) equals 8/3 as an exact dimension ratio.",
 "scope": {
  "carrier": "Split octonion dimension and Jordan rank",
  "domain": "Dimension ratio only.",
  "group": null,
  "hypotheses": [
   "Use the dimensions and rank in the printed Jordan-algebra normalization."
  ],
  "physical_target": null,
  "quantifier": "The registered construction only.",
  "real_form": "Os and J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 148
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix A",
  "section": "§A.9, Exact dimension ratio",
  "pdf_page": 154,
  "quote": "where p = 8/3 = dim(Os )/rank(J3 ) is an exact dimension ratio [A616]"
 },
 "caution": "An exact dimension ratio is not by itself a physical mass exponent.",
 "candidate_ids": [
  "C2-056"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "cited_by_section",
   "target": "E-C05.1.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.1.prior-art"
  }
 ],
 "url": "/library-v2/LIB2-049/",
 "content_sha256": "ff9d2a92e3df0e76daaff0e75038732fb9ee041c170fca2c643d1899ed02e485",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}