PUBLISHED under R124 (condition T-R, retired records) — NOT house-adjudicated. Build S371a. What PUBLISHED means here: this record states what an EARLIER presentation said. Its archive row was located in the files named below, and two non-drafting AI lanes (gemini + grok) — one reading this page, one reading the archive text supplied to it — agreed the archive ATTESTS the historical statement; 3 of 3 unblocked suite citations were REVIEWED and none is disputed; its machine certificate is current. What it does not mean: no person has signed off (NOT_ADJUDICATED); the retired claim is not endorsed — it is recorded as retired; the drafting lane's reads count for nothing. Receipt: condition R124-TR · archive LIBRARY_V1_GROK_ARCHIVE_S304.md, P65 (LIBRARY_V1_GROK_ARCHIVE_S304.md) · master 8b3ea217e8c760b1 · S339.

LIB2-282 · Superseded torsion-corrected cylinder formula for the reactor angle

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The archived reactor-angle proof prompt advertised an exact target obtained by subtracting a torsion correction from the cylinder arctangent.

Scope

domain	The torsion-corrected physical formula of P65, distinct from the uncorrected L133/P45 proposal.

What this does not show. This replacement does not establish the old correction's value or make the current readout rule canonical.

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, Retained reactor-angle expression — PDF p.83 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

sin2 θ13 = sin4 (π/8)

Appendix B, Lemma B.5′, Readout normalization and its unproved premise — PDF p.159 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

it is a theorem given the unit-endpoint-ray readout rule, but that readout rule is not itself derived from the algebra

Paper 5, §5, Reactor readout forcing remains open — PDF p.89 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

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)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Library v1 P65; Paper 5 §2, Retained reactor-angle expression, p.79	—	shipped	The archive supplies titles and workflow metadata, not original production bodies. The current-suite replacement is quoted; no historical derivation, numerical result or retirement chronology is independently verified.

What was said, and what retired it

historical statement	P65: θ₁₃(PMNS) = arctan(α^{1/3}/√φ) − δ_torsion — EXACT (gap 0.000%)
where it stood	LIBRARY_V1_GROK_ARCHIVE_S304.md, P65
retiring decision	not located in suite; current-target replacement in Paper 5, p.79
what the suite prints now	sin2 θ13 = sin4 (π/8) PDF p.79 (bytes of record)
successor records	LIB2-061 The reactor-angle formula retains an unforced round-trip readout
why retired	RELATION_NOT_RECORDED — the retiring decision names only what replaced the claim ("not located in suite; current-target replacement in …"); the reason the old claim went was never recorded, and the house does not infer one from a pointer (R42 census S322, ruled R69).
archive row located	LOCATED — 1 of 1 parts found in `LIBRARY_V1_GROK_ARCHIVE_S304.md` (sha256 28f35aac4e91e1ca…) (locator 8db2c73d69dff9f1, S339)
the archive rows, verbatim	LIBRARY_V1_GROK_ARCHIVE_S304.md, line 315 \| P65 \| proof \| 2.F \| Paper 2 Proofs \| Paper 2 — Flavor Sector from Peirce Perturbations \| awaiting_production \| prompt_ready \| yes \| P65: θ₁₃(PMNS) = arctan(α^{1/3}/√φ) − δ_torsion — EXACT (gap 0.000%) \|
does the archive attest it?	REVIEWED · ATTESTS gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The row explicitly subtracts a δ_torsion correction from the cylinder arctangent and flags the result as EXACT. grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — P65 advertises `arctan(α^{1/3}/√φ) − δ_torsion — EXACT`.

A successor is linked, never "derived from" the retired statement (charter §10.10).

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	no (0)
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`	N/A	class RETIRED not governed by the source_labels rule
`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	P65
candidate ids (frozen list S304)	C2-006 C2-060

Drafting-lane note

P65's EXACT label and displayed gap are archival title text, not a completed proof inspected here. The torsion term is not supplied or calculated. The old bare arctangent and its corrected variant are kept as separate historical assertions.

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 d419c0614b29542362fd1188690a013d1d1216a3378a7c5e6f5610a113f6ece2

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-282 | 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