{
 "id": "LIB2-018",
 "entry_version": 9,
 "class": "CLAIM",
 "title": "DET-7 is a structural postulate in the algebraic selector",
 "statement": "In Appendix E's algebraic selector, det Gram(Jvac,Jvac#) = 7 is imposed as the DET-7 structural postulate, not derived as a necessity.",
 "scope": {
  "carrier": "Positive diagonal Jordan element and its adjoint",
  "domain": "The premise role of DET-7 in the algebraic selector, not its evaluation on an already selected spectrum.",
  "group": null,
  "hypotheses": [
   "Unit Jordan determinant is the normalization.",
   "Route A also assumes inversion symmetry; Route B instead restricts to positive golden-field units."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": "J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 164
 },
 "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 E",
  "section": "§3, Remark 2: status of H2",
  "pdf_page": 171,
  "quote": "DET-7 enters this appendix as a structural postulate, not a derived necessity; the result is therefore a conditional selector theorem."
 },
 "caution": "This postulate does not establish its own first-principles necessity or the physical attachment of the resulting invariant.",
 "candidate_ids": [
  "C2-003"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
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   "type": "cited_by_section",
   "target": "E-C04.1.claims-used"
  },
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   "type": "cited_by_section",
   "target": "E-C04.1.prior-art"
  },
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   "type": "cited_by_section",
   "target": "E-C04.1.sources-receipt"
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 ],
 "url": "/library-v2/LIB2-018/",
 "content_sha256": "ea6b5b300fbaa7acdd1917b9a314adc328ca0604f72bca710e3c57656d1ff2a0",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}