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 2 of 2 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-e23bdd01a09212c48919130a · master 94096cf0b0ea8052 · S330.

LIB2-111 · The loaded hypercharge projection gives the four Yukawa tensors

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.229 (bytes of record)):

The loaded U (1)Y Reynolds projector PY =0 removes this leak exactly

Statement

The loaded U(1)Y Reynolds projection of the registered trilinear equals the four one-generation Yukawa tensors {Q uᶜ H, L νᶜ H, Q dᶜ Hᶜ, L eᶜ Hᶜ}.

Scope

carrier	The raw trilinear and its loaded hypercharge-zero projection
domain	Tensor structure on the allowed channel set, not a coefficient hierarchy.
group	Loaded U(1)Y
hypotheses	Use the explicit one-generation dictionary and the loaded U(1)Y action.; Apply the registered Reynolds projector PY=0.
quantifier	The registered construction and its stated hypotheses.
real form	Loaded split Albert cubic

What this does not show. The projected tensor structure does not select the loaded hypercharge action or split the four coefficient values.

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.

Appendix K, §1, Positive Yukawa statement — PDF p.238 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

projects onto exactly the four SM Yukawa tensors {Q uc H, L ν c H, Q dc H c , L ec H c }, with a single democratic common normalization (1, 1, 1, 1).

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_k_yukawa_coefficient_negative.tex:36): projects onto exactly the four SM Yukawa tensors {Q u^(c)H, L ν^(c)H, Q d^(c)H^c, L e^(c)H^c}, with a single democratic common normalization (1,1,1,1). (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix K, §3.2, Projected tensor equality — PDF p.240 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The loaded U (1)Y Reynolds projector PY =0 removes this leak exactly — the projected tensor equals the mask-times-raw tensor (∥diff∥ = 0) and equals the four SM tensors (∥diff∥ = 0).

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	A1048, Appendix K §3.2, p.229: projected component census	—	unknown	The source reports exact projected-tensor equality; the component arrays and output are not supplied.

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
`1`	PDF p.229 (bytes of record)	suite text p.229: loaded U(1)Y Reynolds projector

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-108 The explicit B-map fixes a loaded one-generation field dictionary	—
`related_to` (never evidential)	LIB2-110 The loaded split-octonion cubic has a nonzero invariant trilinear	—

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

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
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	C-YUK-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	A1048
candidate ids (frozen list S304)	C2-053

Drafting-lane note

C2-053 concerns the four allowed tensors. The raw mirror leakage and democratic coefficient ray are separate records; the physical field dictionary is conditional on B.

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 f0d63fc168a17d9f90e3d97063cc4c7eeafb108fba1bde68e2f6ccb4ffb7319f

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-111 | 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