Claims & Evidence Registrar › H10

LIB2-316 · Select the invariant required by the CKM-phase construction

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

Statement

Can a registered operator select the eigenvalue or invariant required by the retained CKM-phase construction without assuming the correction whose origin is to be derived?

Scope

carrierThe proposed operator or invariant underlying G7 in the retained CKM-phase readout
domainThe missing selection of G7, not an identity following from a chosen correction or another numerical menu search.
What this does not show. An algebraic identity after choosing a correction does not select that correction or derive the physical CKM phase.

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 3, Candidate Construction 2.1, Operator-based reopen condition — PDF p.54 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

reopen only by a registered operator whose eigenvalue or invariant is G7 .
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p3_ckm_pmns_mixing.tex:421-422): reopen only by a registered operator whose eigenvalue or invariant is √G₇. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 3, Candidate Construction 2.1, Circular equal-shift step — PDF p.54 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

step (B)’s equal-shift property was shown to be an algebraic identity of the construction (house-proven circular as a derivation)

Paper 3, §5.3, Retained numeral and missing derivation — PDF p.63 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

It drops to coincidence-class and stays there until G7 is derived. The number is not withdrawn; the rating is.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 3 Candidate Construction 2.1, p.51; §5.3, p.59; Appendix E p.172—shippedThe suite names an operator/invariant reopen condition and rejects the circular construction step. No operator is supplied and no coefficient search is performed.

Open problem

charter refRev32.7 Paper 3, Candidate Construction 2.1, p.51; §5.3, p.59; Appendix E p.172
failure or reopen conditionRepeating the circular equal-shift step or further scanning the numerical correction menu does not meet the stated operator-based reopen condition.
obstructionThe equal-shift argument is an identity of the selected construction rather than a selection theorem; the retained numeral remains coincidence-class.
questionDoes a registered operator have the required eigenvalue or invariant G7 without building that correction into the construction?
success conditionSupply the registered operator whose eigenvalue or invariant is G7, as required by the source's reopen condition.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-068 The retained CKM-phase construction remains coincidence-class—
related_to (never evidential)LIB2-075 The uncorrected golden argument is closer on both named CKM comparisons—
related_to (never evidential)LIB2-253 Retired structural derivation rating of the CKM phase construction—

Why this record is not PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesno (0)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

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 OPEN 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) antecedentsno legacy antecedent identified
Track-2 claim idsD-MIX-08 — 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.
serialsD772 D773 A1538 A1546
candidate ids (frozen list S304)C2-012 C2-065

Drafting-lane note

This is the OPEN selection counterpart of the retained coincidence-class numeral, not a new CKM formula. No numerical comparison, phase conversion or correction-menu search is made. The source's global-fit phase and direct UT angle remain distinct.

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 99c092613ee6fd73ecc02e97e0afaf0bfa98d313567a0c10f8e4566c726b5f06

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-316 | 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