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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-16ad7d843bf366ead8308c83 · master 3fb7fca1ceb9ba49 · S337.

LIB2-057 · The retained PSL class-algebra coefficients

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.118 (bytes of record)):

7A 7B c4A,7A = 14, c4A,7A = 0.

Statement

For input classes (4A,7A), the PSL(2,7) class-algebra coefficient for output class 7A is 14, and the coefficient for output class 7B is 0.

Parts of the statement (2)

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 PSL(2,7) class-algebra coefficient for output class 7A is 14 (one claim)
p2 · the coefficient for output class 7B is 0. (one claim)

Scope

carrier	The PSL(2,7) class algebra
domain	Retained pure algebra in the historical paper, not an operative phase-selection mechanism.
group	PSL(2,7)
hypotheses	Use the source's conjugacy-class labels and character-table class-algebra normalization.
quantifier	The two displayed coefficients.

What this does not show. These coefficients neither derive the current leptonic phase nor establish a mechanism relating their value to G2.

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 8, §2, PSL(2,7) class-algebra structure constants — PDF p.122 (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

7A 7B c4A,7A = 14, c4A,7A = 0.

Paper 8, §2, Retained algebra versus deprecated application — PDF p.122 (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

The constants above therefore have no load-bearing role left anywhere. They are recorded because the algebra is correct, not because anything rests on it.

Paper 8, §2, No G2 correspondence — PDF p.122 (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

No mechanism relating a PSL(2, 7) structure constant to dim G2 has been proposed or tested anywhere in the corpus.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	D161, S19; Paper 8 §2, pp.118–119; L-StructConst_PSL27_structure_constants.md	—	shipped	The supplied suite records the character-table calculation and both coefficients; the original calculation is 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
`4`	PDF p.118 (bytes of record)	closed form: the class labels and the two class-algebra coefficients printed in Paper 8 §2
`7`	PDF p.118 (bytes of record)	closed form: the class labels and the two class-algebra coefficients printed in Paper 8 §2
`2`	PDF p.118 (bytes of record)	closed form: the class labels and the two class-algebra coefficients printed in Paper 8 §2
`14`	PDF p.118 (bytes of record)	closed form: the class labels and the two class-algebra coefficients printed in Paper 8 §2
`0`	PDF p.118 (bytes of record)	closed form: the class labels and the two class-algebra coefficients printed in Paper 8 §2

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 (1)
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
serials	D161
candidate ids (frozen list S304)	C2-172

Drafting-lane note

This is the surviving algebraic half of C2-172. Its former phase-selection application is deprecated and reserved for a separate retirement entry. Superscripts are displaced in the extraction and retained verbatim in the source quote; no unrelated March ID is inferred.

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 0bb1a79889219d126a9216be8a8554081c85a555b2e05308b9c08b9f0430ac02

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-057 | 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