PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 2 of 2 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-29fb8a93777c6273acb84f88 · master 7147ae21feb6c82a · S338.

LIB2-166 · The toy resolvent remains a finite conditional checkpoint

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.171 (bytes of record)):

The continuum frontier moved by one typed step: the first finite Gaussian OS subgate pass and a toy resolvent, both two-host byte-certified (A1529), are recorded at conditional/finite tier

Statement

The toy resolvent accompanying the Gaussian subgate is source-reported as two-host byte-certified at conditional/finite tier.

Scope

carrier	The toy resolvent in the source's finite continuum-staging checkpoint
domain	The reported finite resolvent, not a continuum two-point function.
hypotheses	Use the particular toy construction referred to by A1529; the suite passage gives no full operator formula.
quantifier	The registered construction and its stated premises.

What this does not show. The toy resolvent does not constitute an interacting physical propagator, a pole theorem or an LSZ construction.

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 E, §8, Toy resolvent checkpoint — PDF p.178 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The continuum frontier moved by one typed step: the first finite Gaussian OS subgate pass and a toy resolvent, both two-host byte-certified (A1529), are recorded at conditional/finite tier

Appendix E, §8, Non-claim fence — PDF p.178 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

no continuum limit, no reflection-positive continuum measure, no pole, no LSZ;

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1529; Appendix E §8, p.171	—	shipped	The supplied suite reports the finite resolvent checkpoint; no operator, resolvent formula or original output is supplied.

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-165 The finite Gaussian OS subgate is reported as a conditional checkpoint	—

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

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
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

Machine certificate (R68)

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

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	PASS	exercised
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

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) antecedents	no legacy antecedent identified
Track-2 claim ids	C-OS-FINITE-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	A1529
candidate ids (frozen list S304)	C2-119

Drafting-lane note

Resolvent child of C2-119. Its hypotheses and formula are not filled in from general resolvent theory. The source does not assign a separate allowed mathematical or attachment label here.

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 f6f9ee2598b69eae0c8ce459bf68847aa014ef2eee22795be88628082b380d88

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-166 | 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