Claims & Evidence Registrar › H04

LIB2-074 · PMNS unitarity is exact within its standard-form construction

class CLAIMmath status (as printed) Provedattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

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

PMNS unitarity Algebraic proved unchanged; exact by derived: no choice (singleton construction hom-set)

Statement

For the displayed standard-form PMNS matrix, U†U = I exactly by construction.

Scope

carrierThe standard-form PMNS matrix of Eq. (20)
domainUnitarity of the matrix construction, not the provenance of its angle inputs.
hypothesesUse the displayed trigonometric parametrisation of the retained PMNS entries.
physical targetPMNS matrix unitarity
quantifierThe registered readout and its stated premises.
What this does not show. Exact unitarity is not an independent falsification target and does not derive the input angles or their physical attachments.

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 3, §3.2, PMNS construction — PDF p.56 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Unitarity is exact by construction: U † U = I.

Paper 3, Operational table, PMNS unitarity — PDF p.60 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

PMNS unitarity exact by construction Algebraic U † U = I; not an indepen- dent falsification target.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
analyticPaper 3 §3.2, Eq. (20), p.53; current re-tier table, p.58—shippedThe suite states exact unitarity and re-tiers it as proved; no independent matrix multiplication is claimed.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-060 The solar-angle readout is conditional on ordering and the propagation interface—
related_to (never evidential)LIB2-061 The reactor-angle formula retains an unforced round-trip readout—
related_to (never evidential)LIB2-062 The leptonic Dirac-phase readout remains conditional—
related_to (never evidential)LIB2-002 Physical atmospheric registration of the internal 7/16 mismatch—

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 (2)
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_literalPASSexercised
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-H — 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.
candidate ids (frozen list S304)C2-066

Drafting-lane note

Atomic construction extracted from the C2-066 overview, distinct from CKM unitarity. The current p.58 re-tier column prints proved; the mathematical-status field retains that word in contract casing. It is not converted to the unsupported scorecard word Theorem.

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 638b8c99d6e53841c3bf7ab46013c33e8a439f48c26d39ad2146d7a7587fe10c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-074 | 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