{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7LFQUUMCD33FJWCV6OHKNXHOYA","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":"ae83a515364a23696051af80fe9fb4258772c2cb29f3acaaacf77dbaf32be909","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-06-11T15:58:22Z","title_canon_sha256":"5037f0ca393788f66e3346f1d23f9b64742f7bf494beaee26101d4c8f72b7e6f"},"schema_version":"1.0","source":{"id":"2406.07391","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.07391","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2406.07391v2","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.07391","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"7LFQUUMCD33F","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"7LFQUUMCD33FJWCV","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"7LFQUUMC","created_at":"2026-05-20T00:04:04Z"}],"graph_snapshots":[{"event_id":"sha256:5c6149ea84a0b2dc8a4136b5e6ac2391f740ae5ac8b99b312efc29bd0e22e18c","target":"graph","created_at":"2026-05-20T00:04:04Z","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/2406.07391/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the $r$-th roots of the twisted powers of the log canonical bundles.","authors_text":"Alexander Alexandrov, Boris Bychkov, Maxim Kazarian, Petr Dunin-Barkowski, Sergey Shadrin","cross_cats":["hep-th","math.AG","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-06-11T15:58:22Z","title":"Any topological recursion on a rational spectral curve is KP integrable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.07391","kind":"arxiv","version":2},"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":"sha256:620a99c7cda73ba1b28314b26ec77cfb0a96a114271bd4b76b430a5a73e3f41f","target":"record","created_at":"2026-05-20T00:04:04Z","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":"ae83a515364a23696051af80fe9fb4258772c2cb29f3acaaacf77dbaf32be909","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-06-11T15:58:22Z","title_canon_sha256":"5037f0ca393788f66e3346f1d23f9b64742f7bf494beaee26101d4c8f72b7e6f"},"schema_version":"1.0","source":{"id":"2406.07391","kind":"arxiv","version":2}},"canonical_sha256":"facb0a51821ef654d855f38ea6dceec01b9387df36c724600f9b348023d90473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"facb0a51821ef654d855f38ea6dceec01b9387df36c724600f9b348023d90473","first_computed_at":"2026-05-20T00:04:04.556508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:04.556508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Z0wW0Z/kcqd3YwPPgk3TEVtQkYxed13/Id4wEu1U+XEb9Bf6p3DkjyYYh1hk0g16qfMZ1kw9yJUv5GY06sTAg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:04.557376Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.07391","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:620a99c7cda73ba1b28314b26ec77cfb0a96a114271bd4b76b430a5a73e3f41f","sha256:5c6149ea84a0b2dc8a4136b5e6ac2391f740ae5ac8b99b312efc29bd0e22e18c"],"state_sha256":"48915cceef12d5c86e66c24caf3e5636f582ac2ebbeb05aabc5a1e93515ff77c"}