{
 "id": "LIB2-048",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The selected Jordan vacuum pair has Gram determinant seven",
 "statement": "For the selected Jordan pair (Jvac,Jvac#), the trace-form Gram determinant is 7.",
 "scope": {
  "carrier": "The Jordan vacuum and adjoint pair",
  "domain": "Internal Gram evaluation.",
  "group": null,
  "hypotheses": [
   "Use the selected golden vacuum, its Jordan adjoint and the registered trace form."
  ],
  "physical_target": null,
  "quantifier": "The registered construction only.",
  "real_form": "J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 153
 },
 "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 B",
  "section": "§B.5, Structural support (a): DET-7",
  "pdf_page": 159,
  "quote": "The Jordan pair (Jvac , Jvac # ) has Gram determinant 7, fixing the mismatch geometry and the normalization of the (1, 3) sector."
 },
 "caution": "The Gram value does not derive the physical atmospheric registration and is distinct from imposing DET-7 as a selector premise.",
 "candidate_ids": [
  "C2-003"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-046"
  },
  {
   "type": "related_to",
   "target": "LIB2-047"
  },
  {
   "type": "related_to",
   "target": "LIB2-018"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.1.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.1.prior-art"
  }
 ],
 "url": "/library-v2/LIB2-048/",
 "content_sha256": "fb2ce4548e60b84b6e8f0e72dd196c0347d2eb1b7e862d08650dab5aefdd8dd5",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}