Claims & Evidence Registrar › H09

LIB2-240 · Retired Shilov atmospheric-angle derivation

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 earlier atmospheric-angle route presented a Shilov-boundary correction as the operative prediction.

Scope

domainThe earlier Shilov atmospheric readout, distinct from the separate rational atmospheric assertion.
What this does not show. The old arctangent target is not the separate retired rational target, and the new physical branch remains a loaded correspondence.

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 7, §7, Atmospheric-angle precedent — PDF p.120 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The current framework value is the mismatch-geometry branch sin2 θ23 = 7/16, rather than the older higher-octant phenomenological placeholder — printed since Rev32.6 as the sharp loaded lower-branch target of the selected corre- spondence (A1566: the octant registration is a candidate map, not a selector; the internal identity stays theorem-grade).
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p7_precision_tests_falsification.tex:290): The current framework value is the mismatch-geometry branch sin²θ₂₃=7/16, rather than the older higher-octant phenomenological placeholder — printed since Rev32.6 as the sharp loaded lower-branch target of the selected correspondence (A1566: the octant registration is a candidate map, not a selector; the internal identity stays theorem-grade). (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 3, §5.4, Current atmospheric attachment — PDF p.64 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The current physical θ23 row is therefore Loaded-correspondence; the number and the internal theorem do not move.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryLibrary v1 L255; C2-168 L-Shilov23_Shilov_boundary_factor.md; S174 flag—shippedThe archived formula title and house route flag are supplied. The current suite replaces the older atmospheric placeholder; no original proof body is reconstructed.

What was said, and what retired it

historical statementθ₂₃(PMNS) = arctan(1 + 1/(2π)) Shilov Derivation [CLOSED, 0.03%].
where it stoodLIBRARY_V1_GROK_ARCHIVE_S304.md, L255; C2-168, L-Shilov23_Shilov_boundary_factor.md
retiring decisionS174 RETIRED — WYLER PROGRAM + STALE θ23 flag; current replacement in Paper 7 p.116 and Paper 3 p.59
what the suite prints now
The current framework value is the mismatch-geometry branch sin2 θ23 = 7/16, rather than the older higher-octant phenomenological placeholder — printed since Rev32.6 as the sharp loaded lower-branch target of the selected corre- spondence (A1566: the octant registration is a candidate map, not a selector; the internal identity stays theorem-grade).
PDF p.116 (bytes of record)
successor recordsLIB2-002 Physical atmospheric registration of the internal 7/16 mismatch
why retiredscientific_supersession — from the record's own words: LEGACY_SUPERSEDE_FLAG → "RETIRED —"

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

Why this record is PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (1)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalN/Aclass RETIRED not governed by the source_labels rule
edges_resolvedPASSexercised
bindings_validPASSexercised

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) antecedentsL255 (in the March index; no page was ever served)
serialsA1566
candidate ids (frozen list S304)C2-168

Drafting-lane note

C2-168 is already labelled conjectural at source; no completed old proof is asserted. L255 is the precise archived arctangent antecedent, not legacy L31 or L169. G-008 covers the separate 4/7 house statement. The old arctangent and gap stay in the historical field, without a fictitious PDF digit source.

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 760b61006b1cb95b8e3c80ab36fade0b4aa821f2ea8391a4517f60e155b7d764

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-240 | 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