{
 "id": "LIB2-006",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The registered symplectic exceptional substrate",
 "statement": "The registered split E7(7) substrate acts on the real 56 through 133 generators, preserves the symplectic form, and has a quartic-invariant stabilizer of dimension 133.",
 "scope": {
  "carrier": "Real V56 and its registered generator action",
  "domain": "Appendix F §1: ambient substrate, not the embedding-tensor or potential layers.",
  "group": "E7(7)",
  "hypotheses": [
   "The project's e7_substrate construction and V1–V6 conventions are fixed."
  ],
  "physical_target": null,
  "quantifier": "The registered carrier and source conventions.",
  "real_form": "E7(7)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 174
 },
 "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 F",
  "section": "§1, Scope and provenance: V1–V6",
  "pdf_page": 180,
  "quote": "the certified ambient E7(7) substrate (V1–V6: 133 generators on the 56, signature +7, symplectic, quartic-invariant stabilizer of dimension exactly 133)"
 },
 "caution": "This carrier realization does not select a compact Standard-Model frame, a gauging or a physical observable.",
 "candidate_ids": [
  "C2-035"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "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/LIB2-006/",
 "content_sha256": "65ff7b43195e41d7a67d71a998315b3e104f3152e5ec45cd8933231f3a77b1e1",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}