Claims & Evidence Registrar › H02
Label sentence at the locator (PDF p.166 (bytes of record)):
Consequently no action factoring only through GB can uniquely select a coset point — not obstructed at some order, but dead at every order.
No action factoring only through the registered Gram map GB can uniquely select a coset point, because its two-dimensional dark fibre is invisible to that map.
| carrier | GB(M) = iBᵀ M iB on the registered scalar coset |
|---|---|
| domain | The GB-factoring subclass at every order; wider parent actions and boundary laws are excluded from this claim. |
| hypotheses | The action factors only through GB.; The registered map has the dark fibre reported in Appendix E §6(i). |
| quantifier | The declared class only. |
| real form | E7(7)/SU(8) |
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 E, §6(i), Gram-only selector obstruction — PDF p.172 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
Consequently no action factoring only through GB can uniquely select a coset point — not obstructed at some order, but dead at every order.
Appendix E, §6(i), Scope of the all-order result — PDF p.172 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
the all-order no-go is proved for the GB -factoring subclass, and the wider class of parent actions and boundary laws is explicitly left open.
Appendix E, §6, Post-closure supersession note — PDF p.174 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
The six negatives stand unchanged as the walls the closure was built against; their scopes are unaffected.
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| computational | s993–s994, Appendix E §6(i), p.166 | — | unknown | The suite reports this computation; the kernels and their outputs are not supplied in this round. |
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-021 The finite loaded-profile parent action has its stated stable minimum | — |
cited_by_section | E-C04.2.claims-used (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0082 |
cited_by_section | E-C04.2.derivation (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0106, CIT-0129 |
cited_by_section | E-C04.2.prior-art (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0099 |
cited_by_section | E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0152 |
| 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 |
|---|---|
| serials | s993 s994 |
| candidate ids (frozen list S304) | C2-105 |
Source-backed missing proposal T4-01, associated with the nearest closure candidate C2-105. It is a separate obstruction, not a claim that the conditional parent action of G-025 fails.
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 909ab69958186f61db3b17438e4dbcd60c00a280fe99a1f2eba0d798bc24fc23
Reviewer verdict line (one per entry, as text): LIB2-036 | 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