PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 3 of 3 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-600b6e1d63acb58a4077d5ea · master 4e63749e7f82b426 · S337.

LIB2-143 · The exhibited winding-to-Fibonacci functor defines the finite cluster image

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.126 (bytes of record)):

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

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.

Parts of the statement (3)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

p1 · The exhibited functor has Fφ([N]) = τ⊗N (one claim)
p2 · sends the mirror to the dagger (one claim)
p3 · kills the four-strand Jones–Wenzl projector, Fφ(f4) = 0. (one claim)

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.
hypotheses	Use the exhibited generator set at δ = φ and the quotient killing f4.
quantifier	The registered construction and its stated premises.

What this does not show. The finite functor does not construct a continuum Yang–Mills functor or convert a categorical weight into an energy without the declared interface.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Paper 9, §2.1, The exhibited functor — PDF p.130 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

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

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p9_nuclear_cluster_tier.tex:80-82): F_φ sends the winding category to the Fibonacci category: objects F_φ([N])=τ^(⊗ N); the mirror is the dagger; the four-strand Jones–Wenzl projector is killed, F_φ(f₄)=0 (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 9, §2.1, Meaning of the cluster kernel — PDF p.131 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

This is the object referred to below as the cluster kernel: the binding rules of this paper are morphism-weight statements in the image of Fφ .

Paper 9, §1, Physical interface boundary — PDF p.130 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

the categorical machinery does not itself price an energy, the interface does

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s706; A1349, Paper 9 §2.1, pp.126–127	—	unknown	The source reports the generator checks; the functor matrices, kernel and output are not supplied here.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printed	page	digit source
`4`	PDF p.126 (bytes of record)	closed form: Fφ(f4) = 0 and the generator assignments printed in Paper 9 §2.1
`0`	PDF p.126 (bytes of record)	closed form: Fφ(f4) = 0 and the generator assignments printed in Paper 9 §2.1

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	3 · 3
uses any lane has read	3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (1)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	PASS	exercised
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedents	no legacy antecedent identified
Track-2 claim ids	E-FUN-01 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record.
serials	A1349 s706
candidate ids (frozen list S304)	C2-073

Drafting-lane note

C2-073 is kept at the exhibited-generator level. The status ledger's word derived is not converted into a mathematical-status label or a scorecard Theorem.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 f58b2a328bcca19582eaf170db0602f163aa52e11beb7b8c410cfe82d6c0f123

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-143 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02