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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-bdfe8eee637a7c9f025b960e · master 4e63749e7f82b426 · S337.

LIB2-146 · The closed alpha-cell typing gives the A = 5 gap

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 10

Label sentence at the locator (PDF p.128 (bytes of record)):

f4 = 0 closes the α cell, so a fifth nucleon is an external τ -line with no scalar channel: no single nucleon binds to α.

Statement

With f4 = 0 closing the alpha cell, a fifth nucleon is an external τ-line with no scalar channel, so the registered single-nucleon attachment to alpha is unbound.

Parts of the statement (4)

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 · With f4 = 0 closing the alpha cell, a fifth nucleon is an external τ-line with no scalar channel (cut further below)
p1-p1 · With f4 = 0 closing the alpha cell, a fifth nucleon is an external τ-line (one claim)
p1-p2 · with no scalar channel (one claim)
p2 · the registered single-nucleon attachment to alpha is unbound. (one claim)

Scope

carrier	The closed alpha cell and an added nucleon
domain	The A = 5 gap within the registered cluster construction.
hypotheses	Use the frozen closed-cell typing f4 = 0 and the external τ-line assignment.
quantifier	The registered construction and its stated premises.

What this does not show. The gap depends on the registered cell typing and does not determine the full charge-magnitude sector.

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, §4, Theorem 4.1: A = 5 gap — PDF p.132 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

f4 = 0 closes the α cell, so a fifth nucleon is an external τ -line with no scalar channel: no single nucleon binds to α.

Paper 9, §2.2, Saturated alpha cell — PDF p.131 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R115 as SUPPORTS — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

The α is saturated: a fifth nucleon sees 1α ⊗ τ = τ , a boundary defect with no scalar channel.

Paper 9, §4, Consequence of the same projector — PDF p.132 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

These two are consequences, not inputs: the same projector that closes the α forbids its pairwise growth and forces the associator architecture of §6.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1350; Paper 9 §4, Theorem 4.1, p.128	—	shipped	The source states the categorical gap and reports the corresponding sign calls; no separation-energy calculation is rerun.

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.128 (bytes of record)	closed form: f4 = 0 and the closed-cell consequence in Paper 9, Theorem 4.1
`0`	PDF p.128 (bytes of record)	closed form: f4 = 0 and the closed-cell consequence in Paper 9, Theorem 4.1

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-143 The exhibited winding-to-Fibonacci functor defines the finite cluster image	—
`related_to` (never evidential)	LIB2-145 The small-nucleus kernel is triangularly saturated	—

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 (2)
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-GAP-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	A1350
candidate ids (frozen list S304)	C2-074

Drafting-lane note

A = 5 child of C2-074. The local theorem heading is not a scorecard tier. The separate A = 8 mechanism is G-151.

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 ccf2d835373747b9f478939825d09a1804bb0ae56c205aca841062a029148ea9

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-146 | 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