Claims & Evidence Registrar › H05

LIB2-081 · The compact-completion result is conditional and enumeration-bounded

class CLAIMmath status (as printed) NOT_PRINTEDattachment (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.178 (bytes of record)):

Theorem 4.1 is uniqueness-of-completion, not emergence.

Statement

Under the fixed sixteen-Weyl-fermion package, its hypercharges, the 10H-only scalar sector and the full-colour-plus-weak-action clause, the enumerated compact low-energy completions leave GSM up to U(1)B−L and global structure Γ.

Scope

carrierThe fixed one-generation matter, charge and 10H-only scalar package
domainUniqueness of completion in the stated class, not gauge-group emergence.
groupGSM and the stated U(1)B−L extension
hypothesesFix the sixteen Weyl fermions and their registered YSM charges.; Retain only the 10H scalar sector.; Require gauging the full derived colour and weak action.; Restrict the result to the exhausted foil family and adversary directions.
quantifierThe printed finite completion inventory.
real formCompact reductive low-energy completions
What this does not show. The result neither derives the input gauge group nor classifies every compact reductive group on the matter space.

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.

Appendix F, §4, Theorem 4.1: fixed package — PDF p.183 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Fix the derived one-generation package: exactly the sixteen Weyl fermions of the 16 with the derived hypercharges YSM , and the 10H -only scalar sector.

Appendix F, §4, Boundary sentence — PDF p.184 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Theorem 4.1 is uniqueness-of-completion, not emergence.

Appendix F, §4, Surviving freedom — PDF p.184 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

in the stated class, up to U (1)B−L and Γ

Appendix F, §4, Enumeration boundary — PDF p.184 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

the foil family and the adversary directions are exhausted; no closed classification over all compact reductive groups on a sixteen-dimensional Weyl space is claimed.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryD756, S76 completion enumeration, Appendix F §4, pp.177–178—shippedThe suite states the filters, surviving completions and enumeration boundary. The underlying enumeration files are not supplied.

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 printedpagedigit source
10PDF p.177 (bytes of record)suite text pp.177–178: fixed scalar sector and surviving U(1) extension; no kernel line found
1PDF p.177 (bytes of record)suite text pp.177–178: fixed scalar sector and surviving U(1) extension; no kernel line found

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

states a predicateyes
uses on the record · unblocked4 · 4
uses any lane has read4 of 4
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 idsB-UNI-01 — 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.
serialsD756
candidate ids (frozen list S304)C2-043

Drafting-lane note

C2-043 retains every load-bearing completion premise and the source’s finite-enumeration boundary. Proper sub-completions are excluded by the full-action clause, not by anomalies. The literal two-axis labels are not printed at these locators.

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 4eb29f47e8d42ba45c13b85c207f685b7c70815741db174bd2771ce905a4e04c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-081 | 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