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 4 of 4 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-ecc3e16237c1f635e1a6c93b · master 3fb7fca1ceb9ba49 · S337.

LIB2-109 · The loaded one-generation dictionary cancels the stated anomalies

class CLAIMmath status (as printed) Provedattachment (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.29 (bytes of record)):

The identified one- generation matter content is therefore anomaly-free [PROVED under explicit B + SU (5)].

Statement

Under the explicit B + SU(5) embedding, the one-generation Standard-Model gauge anomaly sums vanish and the mixed U(1)-gravitational anomaly sum vanishes, and the Witten SU(2) anomaly is absent.

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 · the one-generation Standard-Model gauge anomaly sums vanish and the mixed U(1)-gravitational anomaly sum vanishes (cut further below)
p1-p1 · the one-generation Standard-Model gauge anomaly sums vanish (one claim)
p1-p2 · the mixed U(1)-gravitational anomaly sum vanishes (one claim)
p2 · the Witten SU(2) anomaly is absent. (one claim)

Scope

carrier	The loaded one-generation chiral matter and hypercharges
domain	Anomaly cancellation for the specified field dictionary.
group	Compact SU(3)c × SU(2)L × U(1)Y
hypotheses	Use the explicit B + SU(5) embedding and the left-handed Weyl convention.; The compact Standard-Model action is fixed.
quantifier	The registered construction and its stated hypotheses.

What this does not show. Anomaly cancellation does not select the compact embedding or determine the number of complete generations.

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 1, §8, Local anomaly sums — PDF p.30 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

In the left-handed Weyl convention the local anomaly coefficients all vanish (kernel-verified, cross-checked in house, A696):

Paper 1, §8, Witten anomaly — PDF p.30 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The Witten SU (2) global anomaly is absent: three colour quark doublets plus one lepton doublet give 4 left-handed SU (2) doublets per generation, an even number.

Paper 1, §8, Generation-count boundary — PDF p.30 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Anomaly cancellation holds for any number of complete generations and does not by itself fix the generation count, which remains an independent input.

Paper 1, §8, Exact audit update — PDF p.30 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R114 as SUPPORTS — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

the complete exact audit (kernel s588, S214, upgrading the structural check s572) verified that all SM gauge and gravitational anomaly sums cancel exactly

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s588, upgrading s572; A696, Paper 1 §8, pp.28–29	—	unknown	The complete exact audit is reported by the source; the kernel and its outputs are not attached.

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
`5`	PDF p.29 (bytes of record)	suite text p.29: explicit B + SU(5) condition and Witten SU(2) anomaly statement
`2`	PDF p.29 (bytes of record)	suite text p.29: explicit B + SU(5) condition and Witten SU(2) anomaly statement

Typed links

type	target	licensed by
`depends_on`	LIB2-108 The explicit B-map fixes a loaded one-generation field dictionary	Paper 1 §8, pp.28–29 evaluates the anomaly sums for the matter dictionary under the explicit B + SU(5) embedding.

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

states a predicate	yes
uses on the record · unblocked	4 · 4
uses any lane has read	4 of 4
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (3)
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	B-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	A696 s572 s588
candidate ids (frozen list S304)	C2-040

Drafting-lane note

Anomaly child of C2-040, not a second field-content construction. The source prints PROVED under its explicit embedding; no house tier is assigned and no anomaly sum is recomputed.

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 b7deadf09408e662562d4e8d27fafff66b490167b79fed894f7b09fe1b727c5e

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-109 | 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