{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EE2BWJ37ACZNY6BMPIRCL6E5PW","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":"4ddb6d2035820a026b9863fd73b63ce37872a1bb02c234bd2c6d167611d72f0e","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-05-06T11:14:54Z","title_canon_sha256":"0b205894a7e18086b736fb3312158ecea14c2c4d88a32e819bdd26d47e3c7ff7"},"schema_version":"1.0","source":{"id":"2505.03429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03429","created_at":"2026-07-05T10:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03429v1","created_at":"2026-07-05T10:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03429","created_at":"2026-07-05T10:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"EE2BWJ37ACZN","created_at":"2026-07-05T10:59:16Z"},{"alias_kind":"pith_short_16","alias_value":"EE2BWJ37ACZNY6BM","created_at":"2026-07-05T10:59:16Z"},{"alias_kind":"pith_short_8","alias_value":"EE2BWJ37","created_at":"2026-07-05T10:59:16Z"}],"graph_snapshots":[{"event_id":"sha256:0d551c63d29c168a935d0443b3101e6510b074072c51ee3395c25fd921a43a5c","target":"graph","created_at":"2026-07-05T10:59:16Z","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/2505.03429/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Joyce structures are a class of geometric structures that first arose in relation to Donaldson-Thomas theory. There is a special class of examples, called class $S[A_1]$, whose underlying manifold parameterises Riemann surfaces of some fixed genus equipped with a meromorphic quadratic differential with poles of fixed orders. We study two Joyce structures of this type using the isomonodromic systems associated to the Painlev\\'e II and III$_3$ equations. We give explicit formulae for the Pleba\\'nski functions of these Joyce structures, and compute several associated objects, including their tau ","authors_text":"Fabrizio Del Monte, Tom Bridgeland","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-05-06T11:14:54Z","title":"Joyce structures and poles of Painlev\\'e equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03429","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":"sha256:34a2452a49895ad829db929586c01b838f181bcf38bb4eb5cffb5ebb4d005d30","target":"record","created_at":"2026-07-05T10:59:16Z","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":"4ddb6d2035820a026b9863fd73b63ce37872a1bb02c234bd2c6d167611d72f0e","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-05-06T11:14:54Z","title_canon_sha256":"0b205894a7e18086b736fb3312158ecea14c2c4d88a32e819bdd26d47e3c7ff7"},"schema_version":"1.0","source":{"id":"2505.03429","kind":"arxiv","version":1}},"canonical_sha256":"21341b277f00b2dc782c7a2225f89d7d85a29dfa4772d9e7fee41db6837ab2d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21341b277f00b2dc782c7a2225f89d7d85a29dfa4772d9e7fee41db6837ab2d1","first_computed_at":"2026-07-05T10:59:16.052218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:16.052218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+xdnI2DbhOXKMnYaJESiiOycnhk9szgW1+HIpbz56oSAUOE7jeBGGffyuo+XTlSGeQWB/hRPzrDzIT5GiwSbBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:16.052645Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.03429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34a2452a49895ad829db929586c01b838f181bcf38bb4eb5cffb5ebb4d005d30","sha256:0d551c63d29c168a935d0443b3101e6510b074072c51ee3395c25fd921a43a5c"],"state_sha256":"ec02dcb84c33c6c317e4daf94ba2ff97ede7ad0f69066461a328021c49eb094b"}