{
 "id": "LIB2-157",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The connected second moment does not switch off at the later cells",
 "statement": "The ribbon full-twist identity leaves the registered connected Markov second moment strictly positive at n = 8,9,10, excluding exact switch-off there.",
 "scope": {
  "carrier": "The connected normalized Markov second moment of the registered annular circulation",
  "domain": "Exact switch-off at the stated cells, distinct from the unscored finite support threshold.",
  "group": null,
  "hypotheses": [
   "Use the ribbon full-twist identity and connected moment specified in Paper 9 §9."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated premises.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 131
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Paper 9",
  "section": "§9, Ribbon full-twist obstruction",
  "pdf_page": 136,
  "quote": "full-twist identity also excludes exact switch-off (Ωn > 0 at n = 8, 9, 10)."
 },
 "caution": "Nonzero later moments do not settle the finite support-threshold test, whose energy coefficient remains open.",
 "candidate_ids": [
  "C2-083",
  "C2-128"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-156"
  },
  {
   "type": "related_to",
   "target": "LIB2-154"
  }
 ],
 "url": "/library-v2/LIB2-157/",
 "content_sha256": "3cc1e5f02dd8c002995c08c26602ae182f515feefc3039be889b5ee63fa1d920",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}