{
 "id": "LIB2-103",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The registered grading centralizer has the printed dimension and signature",
 "statement": "The registered grading centralizer C(H) ⊂ e7(7) has dimension 79, displayed signature (43,36,0), and centre dimension 1.",
 "scope": {
  "carrier": "The registered 56-carrier and grading H",
  "domain": "The centralizer of H, not of the separate Appendix-H compact generator K.",
  "group": null,
  "hypotheses": [
   "Use the source’s C(H) centralizer inside e7(7).",
   "Retain the source’s displayed signature convention."
  ],
  "physical_target": null,
  "quantifier": "The declared source class only.",
  "real_form": "e7(7)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 257
 },
 "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 N",
  "section": "§6, Grading centralizer census",
  "pdf_page": 270,
  "quote": "C(H) ⊂ e7(7) has 79, (43, 36, 0), 1."
 },
 "caution": "The presence of compact directions does not fix their angles, and the Appendix-H K is not a member of this centralizer.",
 "candidate_ids": [
  "C2-104"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-101"
  },
  {
   "type": "related_to",
   "target": "LIB2-102"
  }
 ],
 "url": "/library-v2/LIB2-103/",
 "content_sha256": "16c6d274c91eb17605d2d3871cc18dd769fc6747bbbeab1ab3689386e7384ae9",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}