Claims & Evidence Registrar › H10

LIB2-300 · Construct the missing continuum Yang–Mills functor

class OPENmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 7

Statement

Can the programme construct its missing continuum Yang–Mills functor beyond the finite categorical and Gaussian checkpoints?

Scope

carrierThe finite cluster construction and the continuum staging programme
domainThe unbuilt continuum map, not the finite winding functor or toy resolvent.
What this does not show. No continuum existence theorem, physical propagator or Clay-problem result is claimed.

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 9, Posture: missing continuum object — PDF p.129 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The continuum (Yang–Mills) functor remains the named missing object: nothing in this paper is a Clay-problem claim.

Appendix E, First finite OS subgate pass: continuum boundary — 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; the 17-stage continuum staging map (Trackers/CONTINUUM_STAGING_MAP_S284.md) locates the step.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 9 posture p.125; Appendix E continuum-staging pointer p.171—shippedThe suite identifies the missing functor and the finite-checkpoint boundary. The full staging-map body and a continuum construction are not supplied.

Open problem

charter refTrackers/CONTINUUM_STAGING_MAP_S284.md, cited in Rev32.7 Appendix E p.171
failure or reopen conditionFinite generator checks, a toy resolvent or finite reflection positivity alone do not discharge the source’s continuum requirement.
obstructionThe exhibited finite functor and Gaussian checkpoint do not supply a continuum limit, a reflection-positive continuum measure, a physical pole or LSZ.
questionCan the missing continuum Yang–Mills functor be constructed?
success conditionSupply the continuum functor identified by Paper 9 and the continuum staging map, rather than another finite checkpoint.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-143 The exhibited winding-to-Fibonacci functor defines the finite cluster image—
related_to (never evidential)LIB2-165 The finite Gaussian OS subgate is reported as a conditional checkpoint—
related_to (never evidential)LIB2-166 The toy resolvent remains a finite conditional checkpoint—

Why this record is not 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 lanesno (0)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

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_literalN/Aclass OPEN not governed by the source_labels rule
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 idsE-YM-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.
serialsA1529
candidate ids (frozen list S304)C2-084

Drafting-lane note

C2-084 is retained as an OPEN construction task. The staging-map filename is printed in the suite; its full stage list is not supplied here and is not reconstructed.

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 927ba8e67993ea287dccf0f0c867412f4407dc370bf12d0c5dae96f4abf83aec

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-300 | 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