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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-503c43b0480f577e030d4dc1 · master 7570ddad604d5b37 · S342.

LIB2-082 · The extra compact Cartan is the B−L charge direction

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.177 (bytes of record)):

the extra compact Cartan is unique: the one-dimensional solution space of the Yukawa-neutrality + anomaly system is (1, −1, −1, −3, 3, 3) = 3(B−L)

Statement

For the registered completion filters, the Yukawa-neutrality and anomaly equations have, modulo the hypercharge direction, a one-dimensional extra-Cartan solution space, whose Higgs-doublet-neutral representative is (1,−1,−1,−3,3,3) = 3(B−L).

Scope

carrier	Extra compact Cartan charges on the fixed matter package
domain	The unique surviving extra charge direction under the completion filters.
group	U(1)B−L
hypotheses	Use the fixed field dictionary, Yukawa-neutrality equations and anomaly system of Theorem 4.1.
quantifier	The stated extra-Cartan solution space.
real form	Compact low-energy completion

What this does not show. The unique extra charge direction does not establish that its gauge boson exists or remove the empirical premise used to exclude it.

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 F, §4, Theorem 4.1(2): extra Cartan — PDF p.183 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

the extra compact Cartan is unique: modulo the existing hypercharge direction the extra solution space of the Yukawa- neutrality + anomaly system is one-dimensional, and in the Higgs-doublet-neutral representative it is spanned by (1, −1, −1, −3, 3, 3) = 3(B−L)

Appendix F, §4, Theorem 4.1(2): removal premise — PDF p.184 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

it is removed only by the named no-fifth- force/scalar-closure empirical input;

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	D756, S76, extra-Cartan neutrality/anomaly system, Appendix F §4, p.177	—	shipped	The charge vector and its one-dimensional solution space are printed; no independent equation-system solution is performed 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
`1`	PDF p.177 (bytes of record)	closed form: the extra-Cartan solution vector printed in Theorem 4.1(2)
`−1`	PDF p.177 (bytes of record)	closed form: the extra-Cartan solution vector printed in Theorem 4.1(2)
`−3`	PDF p.177 (bytes of record)	closed form: the extra-Cartan solution vector printed in Theorem 4.1(2)
`3`	PDF p.177 (bytes of record)	closed form: the extra-Cartan solution vector printed in Theorem 4.1(2)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-081 The compact-completion result is conditional and enumeration-bounded	—

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 (1)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1647-F02` A1647	PROOF	CONFIRMED	The Yukawa-neutrality + SU(2)²X system on (Q,u^c,d^c,L,e^c,ν^c,H_u) has a two-dimensional raw solution space, X = 2hY + (3q−h)(B−L); it is one-dimensional only modulo the existing hypercharge (or in the Higgs-neutral representative h = 0). The source's word "extra" permits the quotient reading but does not display it.	appendix_f_gauge_boundary.tex:251–255 (Theorem 4.1(2)); house recompute F02: rank 5 on 7 charges, identity checked on three (q,h) samples. paper: REV33.2_PENDING S329·A1647 item 2	no — the predicate is unaffected

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-UNI-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	D756
candidate ids (frozen list S304)	C2-043

Drafting-lane note

Extra-Cartan child of C2-043. The charge vector is copied in the source’s order; no unprinted field-to-component dictionary is added. Removing this extension is not reclassified as a purely algebraic conclusion.

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 be2416cf706a627c2f05ee5a39e5613b922994a92a1c9d03b4f6645203a3b9df

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-082 | 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