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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-354e32066b652bcb51a25bcd · master 7570ddad604d5b37 · S342.

LIB2-061 · The reactor-angle formula retains an unforced round-trip readout

class CLAIMmath status (as printed) Structuralattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Structuralhouse tier not yet assignedreview state PUBLISHEDentry version 12

Label sentence at the locator (PDF p.58 (bytes of record)):

θ13 Structural structural unchanged; forcing chosen: exponent n = ⋆⋆⋆ pending 4 in sinn (π/8), by iden- tity/heuristic

Statement

The retained reactor-angle formula is sin²θ13 = sin⁴(π/8); its round-trip T² squaring (the round-trip framing, exponent 2) is identified but not forced from first principles.

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 retained reactor-angle formula is sin²θ13 = sin⁴(π/8) (one claim)
p2 · its round-trip T² squaring (the round-trip framing, exponent 2) is identified but not forced from first principles. (one claim)

Scope

carrier	The registered reactor-angle readout
domain	The retained structural formula, not a uniquely forced reactor-angle law.
hypotheses	The round-trip framing T² and its squaring are used.; The exponent choice remains an identity/heuristic selection.
physical target	sin²θ13
quantifier	The registered readout and its stated premises.

What this does not show. Identifying the round-trip construction does not select its physical readout or promote the formula to a theorem.

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 5, §2, Reactor-angle expression — PDF p.83 (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

sin2 θ13 = sin4 (π/8)

Paper 5, §5, Reactor readout forcing remains open — PDF p.89 (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 round-trip T 2 squaring is identified (exponent-2, s502/A1275) but not yet forced from first principles (D678).

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p5_neutrino_cp_violation.tex:292): the round-trip T² squaring is identified (exponent-2, s502/A1275) but not yet forced from first principles (D678). (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 5, §2, Competing closed forms — PDF p.83 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

three compact closed forms (1/45, sin4 (π/8), ϕ−8 ) are numerically close to the measured value, but not all within the comparator this suite uses: against NuFIT 6.1 (Scorecard row 6) 1/45 sits at d = −0.44, the retained sin4 (π/8) at −1.75 and ϕ−8 at −2.02 (Rev32.9; through Rev32.8 this sentence said all three “lie within PDG uncertainty”); no current Freudenthal theorem selects one.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Paper 5 §§2,5, pp.79,85; Paper 3 re-tier table, p.58	—	shipped	The sources retain the structural formula and explicitly leave forcing open.

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
`2`	PDF p.79 (bytes of record)	closed form: sin2 θ13 = sin4(π/8), Paper 5 §2, Eq. (3)
`13`	PDF p.79 (bytes of record)	closed form: sin2 θ13 = sin4(π/8), Paper 5 §2, Eq. (3)
`4`	PDF p.79 (bytes of record)	closed form: sin2 θ13 = sin4(π/8), Paper 5 §2, Eq. (3)
`8`	PDF p.79 (bytes of record)	closed form: sin2 θ13 = sin4(π/8), Paper 5 §2, Eq. (3)

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 (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	D-MIX-03 — 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	s502 A1275 D678
candidate ids (frozen list S304)	C2-006 C2-060

Drafting-lane note

C2-006 and C2-060 are merged. The Structural label is the current scorecard status at p.58; no Conditional-readout label is inferred from the imported manifest.

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 c250d9bd0df5977478f385144a46dae325cedf2682ca3660022890eedc7cf3fc

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-061 | 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