{
 "id": "LIB2-143",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The exhibited winding-to-Fibonacci functor defines the finite cluster image",
 "statement": "The exhibited functor has Fφ([N]) = τ⊗N, sends the mirror to the dagger and kills the four-strand Jones–Wenzl projector, Fφ(f4) = 0.",
 "scope": {
  "carrier": "The registered winding category and its Fibonacci-category image",
  "domain": "The finite functor and morphism-weight image, not a continuum or energy-producing map.",
  "group": null,
  "hypotheses": [
   "Use the exhibited generator set at δ = φ and the quotient killing f4."
  ],
  "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": 126
 },
 "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": "§2.1, The exhibited functor",
  "pdf_page": 130,
  "quote": "Fφ sends the winding category to the Fibonacci category: objects Fφ ([N ]) = τ ⊗N ; the mirror is the dagger; the four-strand Jones–Wenzl projector is killed, Fφ (f4 ) = 0"
 },
 "caution": "The finite functor does not construct a continuum Yang–Mills functor or convert a categorical weight into an energy without the declared interface.",
 "candidate_ids": [
  "C2-073"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-143/",
 "content_sha256": "f58b2a328bcca19582eaf170db0602f163aa52e11beb7b8c410cfe82d6c0f123",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}