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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-5290bc49dc30991e17230121 · master ac37c14788254b3d · S327.

LIB2-051 · The registered half-weight generator has fixed octonionic coefficient

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.153 (bytes of record)):

The weight c = 12 in Thalf = Tscalar + 12 Toct is exact, so the generator is fixed with no free coefficient.

Statement

In the registered generator Thalf = Tscalar + c Toct, the C1 weight is exactly c = 1/2.

Scope

carrier	The registered scalar and octonionic parts of Thalf
domain	The internal C1 coefficient, not its physical phase readout.
hypotheses	Use the registered generator normalization, DET-7 ratio, Frobenius norm and Peirce orthogonality.
quantifier	The registered construction only.
real form	f4(4)

What this does not show. Fixing this internal coefficient does not derive the framing choice or its identification with a measured Dirac phase.

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 B, §B.5, Structural support (b): C1 weight — PDF p.159 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The weight c = 12 in Thalf = Tscalar + 12 Toct is exact, so the generator is fixed with no free coefficient.

The text extraction above lost mathematical typography. As the TeX source prints it (appendix_b_independent_verification.tex:133–135): The weight c = ½ in T_half = T_scalar + ½ T_oct is exact (R79-c; A1637 F04)

Paper 5, §3, Status box: C1 argument — PDF p.88 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

C1 Theorem (Session 16, A558): the weight c = 12 in Thalf = Tscalar + 12 Toct is proved exactly from the DET-7 ratio, Frobenius norm, and Peirce orthogonality (3-step algebraic chain; zero free parameters).

The text extraction above lost mathematical typography. As the TeX source prints it (p5_neutrino_cp_violation.tex:267): the weight c = ½ in T_half = T_scalar + ½ T_oct is proved exactly from the DET-7 ratio, Frobenius norm, and Peirce orthogonality (R79-c; A1637 F04)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A558, as reported in Paper 5 §3, p.84, and Appendix B §B.5, p.153	—	shipped	The supplied text reports the exact coefficient and names the algebraic ingredients; the original proof artifact is 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
`1`	PDF p.153 (bytes of record)	closed form: the C1 half-weight coefficient in Thalf; the extraction flattens the fraction as 12
`1/2`	PDF p.153 (bytes of record)	closed form: the C1 half-weight coefficient in Thalf; the extraction flattens the fraction as 12

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

use	state	premise	role	why the house declared it · reads
`USE-0024`	REVIEWED by lanes (R49c)	PRM-013 (PRM-013/r1) — DET-7 structural postulate	hypothetical_assumption	Proposed by the drafting lane (A1634): The coefficient ledger explicitly gives DET-7, Frobenius norm and Peirce orthogonality as sources of the exact C1 weight carried by this record. — House reading: House read App X:65: "Exact c=1/2 from DET-7, Frobenius norm, and Peirce orthogonality". LIB2-051 is exactly that coefficient; DET-7 is one of its printed inputs. [R129 D-5, S340: role adopted_physical -> hypothetical_assumption (A1704 F1b): the record states an internal coefficient theorem that uses DET-7 as an input; it does not assert DET-7 about nature. Generator normalization and Peirce orthogonality remain inputs] gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350) grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

type	target	licensed by
`cited_by_section`	E-C05.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0164, CIT-0168
`cited_by_section`	E-C05.1.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0173
`cited_by_section`	E-C05.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0183
`rests_on_premise`	PRM-013 DET-7 structural postulate	appendix_x_zero_parameter_input_ledger.tex:65 — "Exact $c=1/2$ from DET-7, Frobenius norm, and Peirce orthogonality."

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
serials	A558
candidate ids (frozen list S304)	C2-158

Drafting-lane note

Source-recovered C2-158. Its L-file title names the half weight, while the suite fraction is flattened as 12; quoted text is unchanged. The local C1 Theorem heading is not copied into scorecard_tier_word.

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 11054913301869970dd594c73fb95f8cede5791a09c1d33d60bc988e65e6f0b9

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-051 | 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