{
 "id": "LIB2-012",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The Albert-to-shell polarized-cubic solder",
 "statement": "The rank-27 solder B from J3(Os) to the grade −2 shell preserves the full polarized cubic: Cshell(Bx,By,Bz) = Npol(x,y,z).",
 "scope": {
  "carrier": "J3(Os) and the grade −2 shell V−2",
  "domain": "Tensor equivalence of the Albert and shell carriers.",
  "group": "E7(7)",
  "hypotheses": [
   "The registered solder B and the source and shell polarized cubics are fixed."
  ],
  "physical_target": null,
  "quantifier": "The complete polarized-cubic identity for the named solder.",
  "real_form": "Split Albert algebra inside the real E7(7) carrier"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 314
 },
 "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 T",
  "section": "§15.1, The solder and transported pointing",
  "pdf_page": 332,
  "quote": "The carrier arc begins with the exact rank-27 solder"
 },
 "caution": "Tensor equivalence does not make the unpointed shell select the transported unit or an intrinsic basepoint.",
 "candidate_ids": [
  "C2-089"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-005"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-012/",
 "content_sha256": "c52bca63e8261c9df5861bb1cd9832aa7e4f7b65550dea0d65d101df3af15b26",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}