Claims & Evidence Registrar › H07
Label sentence at the locator (PDF p.316 (bytes of record)):
The largest stabilizer subgroup preserving J− has no nonzero invariant √ covector there; the constraint stack has full rank with smallest nonzero singular value 1/ 2 [A1556].
The largest registered stabilizer subgroup preserving J− has no nonzero invariant covector on J−, blocking the attempted invariant scalar row.
| carrier | The odd Albert sector and the largest registered stabilizer preserving it |
|---|---|
| domain | The invariant-covector attempt, not the state-dependent covariant successor. |
| hypotheses | Use the stabilizer and invariant scalar-row requirement of Appendix T §15.2. |
| quantifier | The registered construction and its stated premises. |
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.
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 T, §15.2, Invariant scalar-row attempt — PDF p.334 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → CONTEXT · the lanes disagreed; resolved by PI ruling R117 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED
The first attempt demanded an invariant scalar row ℓodd : J− → R.
Appendix T, §15.2, Full-rank invariant-covector constraint — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
The largest stabilizer subgroup preserving J− has no nonzero invariant √ covector there; the constraint stack has full rank with smallest nonzero singular value 1/ 2 [A1556].The text extraction above lost mathematical typography. Restored from the sealed TeX source (
rev32.7/tex/appendix_t_cartan_observation.tex:985-987): The largest stabilizer subgroup preserving J₋ has no nonzero invariant covector there; the constraint stack has full rank with smallest nonzero singular value 1/√2 [A1556]. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)
Appendix T, §15.2, Covariant successor remains possible — PDF p.334 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
The well-typed successor is state-dependent and covariant.
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| computational | A1556; Appendix T §15.2, p.316 | — | unknown | The source reports the full-rank constraint stack. The stabilizer matrices and original computation are not supplied. |
| 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 | yes (1) |
| a SUPPORTS use on the predicate is DISPUTED | no |
| machine certificate current | yes |
| 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 |
|
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.
| March library (v1) antecedents | no legacy antecedent identified |
|---|---|
| Track-2 claim ids | F-ODD-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. |
| serials | A1556 |
| candidate ids (frozen list S304) | C2-134 |
Invariant-row obstruction associated with C2-134, separate from its inhabited covariant class. The source quote preserves the displaced radical; no singular-value decimal or new covector calculation is added.
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 f7c88f241838fe785711f6e3f18a1b39d9c15ce04414775755b174665be20e44
Reviewer verdict line (one per entry, as text): LIB2-179 | 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