{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:F7JQPXZ4CP3VNDACSLVXZOP4AU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1f23b58392da2b2252f2182cf78ad75bcab58157f93213be958ce39f75b8f78a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-13T16:48:40Z","title_canon_sha256":"3de7901031b568380638c5e58851aa3884f6b64a8af399af9b5dc5162c91293d"},"schema_version":"1.0","source":{"id":"2209.06150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.06150","created_at":"2026-07-05T05:19:00Z"},{"alias_kind":"arxiv_version","alias_value":"2209.06150v1","created_at":"2026-07-05T05:19:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.06150","created_at":"2026-07-05T05:19:00Z"},{"alias_kind":"pith_short_12","alias_value":"F7JQPXZ4CP3V","created_at":"2026-07-05T05:19:00Z"},{"alias_kind":"pith_short_16","alias_value":"F7JQPXZ4CP3VNDAC","created_at":"2026-07-05T05:19:00Z"},{"alias_kind":"pith_short_8","alias_value":"F7JQPXZ4","created_at":"2026-07-05T05:19:00Z"}],"graph_snapshots":[{"event_id":"sha256:30d07688a25b54785194b4d4ddc98dd5395c1a55d7363825b82b946dd2c3b7fd","target":"graph","created_at":"2026-07-05T05:19:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.06150/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Painlev\\`e equation for conformal blocks is a combined corollary of integrability and Ward identities, which can be explicitly revealed in the matrix model realization of AGT relations. We demonstrate this in some detail, both for $q$-Painlev\\`e equations for the $q$-Virasoro conformal block, or AGT dual gauge theory in $5d$, and for ordinary Painlev\\`e equations, or AGT dual gauge theory in $4d$. Especially interesting is the continuous limit from $5d$ to $4d$ and its description at the level of equations for eight $\\tau$-functions. Half of these equations are governed by integrability and an","authors_text":"A. Mironov, A. Morozov, V. Mishnyakov, Z. Zakirova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-13T16:48:40Z","title":"AGT correspondence, (q-)Painlev\\`e equations and matrix models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.06150","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:197eba7f63c4200f2ae039040ed41af319f74f0998ce10d34cf993c37f1e9888","target":"record","created_at":"2026-07-05T05:19:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1f23b58392da2b2252f2182cf78ad75bcab58157f93213be958ce39f75b8f78a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-13T16:48:40Z","title_canon_sha256":"3de7901031b568380638c5e58851aa3884f6b64a8af399af9b5dc5162c91293d"},"schema_version":"1.0","source":{"id":"2209.06150","kind":"arxiv","version":1}},"canonical_sha256":"2fd307df3c13f7568c0292eb7cb9fc05227f6e487df25450eb4d956219971bff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fd307df3c13f7568c0292eb7cb9fc05227f6e487df25450eb4d956219971bff","first_computed_at":"2026-07-05T05:19:00.955147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:19:00.955147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vLiZwQWp0cB5Ejfpbg2qYlG13e5WIqjQKNCKWp2x4uULvBHfI8v8iSbCVi+PdD7nD87cGZI/wy+IN3QpRhakAg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:19:00.955784Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.06150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:197eba7f63c4200f2ae039040ed41af319f74f0998ce10d34cf993c37f1e9888","sha256:30d07688a25b54785194b4d4ddc98dd5395c1a55d7363825b82b946dd2c3b7fd"],"state_sha256":"98b102dddfeba348719928ddadf907ae2769ac2c8fab84a6a7891a5ee2421b4f"}