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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-2bea4f59b9f3a4cdd057328d · master aa16040bb884101e · S342.

LIB2-147 · The two-alpha typing gives a negative first correction at A = 8

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

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

α ⊗ α = 1 ⊗ 1 exposes no τ -line: no bridge is typeable, B(8 Be) = 2Bα at

Statement

In the registered two-alpha channel, no leading bridge is typeable; B(8Be) = 2Bα at leading order, and the first annular correction has Sαα = −ϕ⁻¹⁸√σ < 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 · no leading bridge is typeable (one claim)
p2 · B(8Be) = 2Bα at leading order (one claim)
p3 · the first annular correction has Sαα = −ϕ⁻¹⁸√σ < 0. (one claim)

Scope

carrier	The two closed alpha cells and the virtual ττ̄ annulus
domain	The A = 8 gap and its first correction, not a complete two-circulation or shell model.
hypotheses	Use α ⊗ α = 1 ⊗ 1 and the registered first annular correction.
quantifier	The registered construction and its stated premises.

What this does not show. This channel result does not give a complete nuclear Hamiltonian or settle the separate charge and breathing-accounting problems.

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 4.2: leading two-alpha relation — PDF p.132 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

α ⊗ α = 1 ⊗ 1 exposes no τ -line: no bridge is typeable, B(8 Be) = 2Bα √ at leading order

Paper 9, §4, Theorem 4.2: virtual annular correction — PDF p.132 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

leading order, and the first correction is the level-repulsive virtual τ τ̄ annulus, Sαα = −φ−18 σ < √ 0.

Paper 9, §4, Associator rather than pairwise bridge — PDF p.132 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Stars make carbon through the triple-α channel because 1 ⊗ 1 offers no bridge while the three-strand associator survives

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1351/A1353; Paper 9 §4, Theorem 4.2, p.128	—	shipped	The suite states the gap and first-correction sign; no marginality or magnitude comparison is recalculated.

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
`8`	PDF p.128 (bytes of record)	closed form: B(8Be) = 2Bα and the negative annulus correction in Paper 9, Theorem 4.2
`2`	PDF p.128 (bytes of record)	closed form: B(8Be) = 2Bα and the negative annulus correction in Paper 9, Theorem 4.2
`−18`	PDF p.128 (bytes of record)	closed form: B(8Be) = 2Bα and the negative annulus correction in Paper 9, Theorem 4.2
`0`	PDF p.128 (bytes of record)	closed form: B(8Be) = 2Bα and the negative annulus correction in Paper 9, Theorem 4.2

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

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	A1351 A1353
candidate ids (frozen list S304)	C2-074

Drafting-lane note

A = 8 child of C2-074. The equation quotation preserves the displaced radical; the statement retains the source's string-tension factor. No theorem heading is treated as a scorecard label.

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 906a1e5a74bfef0d39908d8ca4f6715b7bb3c635b020839173ad8fda811eb121

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-147 | 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