{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XWJ36BLBQ7CHGGP2YL3VERWNOK","short_pith_number":"pith:XWJ36BLB","canonical_record":{"source":{"id":"1504.05629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-22T01:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"37f285dd79333457c10bc395dc5350a9458e9d119886eb524ae88a6c88745088","abstract_canon_sha256":"537d091697c4fa2f4ce890ebf63e7b1b62737d3602527725afa6048e604d5c12"},"schema_version":"1.0"},"canonical_sha256":"bd93bf056187c47319fac2f75246cd72be20c4c5002238d16c5bb4a5efc3cfed","source":{"kind":"arxiv","id":"1504.05629","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05629","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05629v2","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05629","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"pith_short_12","alias_value":"XWJ36BLBQ7CH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XWJ36BLBQ7CHGGP2","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XWJ36BLB","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XWJ36BLBQ7CHGGP2YL3VERWNOK","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-22T01:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"37f285dd79333457c10bc395dc5350a9458e9d119886eb524ae88a6c88745088","abstract_canon_sha256":"537d091697c4fa2f4ce890ebf63e7b1b62737d3602527725afa6048e604d5c12"},"schema_version":"1.0"},"canonical_sha256":"bd93bf056187c47319fac2f75246cd72be20c4c5002238d16c5bb4a5efc3cfed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:09.875935Z","signature_b64":"Hz05qhM4WptNB4QGAgji+o6ujx2WFhVu615UcBJaYn5NiyzwsGFFL12BpXzVn09f/9OEA3wphQYeNCjUnWsCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd93bf056187c47319fac2f75246cd72be20c4c5002238d16c5bb4a5efc3cfed","last_reissued_at":"2026-05-18T01:18:09.875385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:09.875385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05629","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gLZwhl1EjBh/jfCPznlsrevmVe30ATKRJbjWQtMtEahGTjni6931C1ah5Om/XC9dQNIBEo69vrjHIbM8ohWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:26:20.755983Z"},"content_sha256":"9b6a838107b122bf4648a943fe15ac08794b90378a09972bf0aab81c68459065","schema_version":"1.0","event_id":"sha256:9b6a838107b122bf4648a943fe15ac08794b90378a09972bf0aab81c68459065"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XWJ36BLBQ7CHGGP2YL3VERWNOK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Anton Izosimov, Boris Khesin, Mehdi Mousavi","submitted_at":"2015-04-22T01:21:48Z","abstract_excerpt":"We give a classification of generic coadjoint orbits for the groups of symplectomorphisms and Hamiltonian diffeomorphisms of a closed symplectic surface. We also classify simple Morse functions on symplectic surfaces with respect to actions of those groups. This gives an answer to V.Arnold's problem on describing all invariants of generic isovorticed fields for the 2D ideal fluids. For this we introduce a notion of anti-derivatives on a measured Reeb graph and describe their properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05629","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pvbU9wp9r2Q/BWwx7t/sVVGQz1Uj46SaKvQAbgkwPKBhXVrHoeANl4nq8Dz2+05riAXyMJ7CPrsG0hXSSVShBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:26:20.756620Z"},"content_sha256":"94fcfe24684086df3ec6230c89c21dba20bb58f1f44453e3cc7c65f3160b775a","schema_version":"1.0","event_id":"sha256:94fcfe24684086df3ec6230c89c21dba20bb58f1f44453e3cc7c65f3160b775a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/bundle.json","state_url":"https://pith.science/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-21T23:26:20Z","links":{"resolver":"https://pith.science/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK","bundle":"https://pith.science/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/bundle.json","state":"https://pith.science/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XWJ36BLBQ7CHGGP2YL3VERWNOK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XWJ36BLBQ7CHGGP2YL3VERWNOK","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":"537d091697c4fa2f4ce890ebf63e7b1b62737d3602527725afa6048e604d5c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-22T01:21:48Z","title_canon_sha256":"37f285dd79333457c10bc395dc5350a9458e9d119886eb524ae88a6c88745088"},"schema_version":"1.0","source":{"id":"1504.05629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05629","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05629v2","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05629","created_at":"2026-05-18T01:18:09Z"},{"alias_kind":"pith_short_12","alias_value":"XWJ36BLBQ7CH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XWJ36BLBQ7CHGGP2","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XWJ36BLB","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:94fcfe24684086df3ec6230c89c21dba20bb58f1f44453e3cc7c65f3160b775a","target":"graph","created_at":"2026-05-18T01:18:09Z","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"},"paper":{"abstract_excerpt":"We give a classification of generic coadjoint orbits for the groups of symplectomorphisms and Hamiltonian diffeomorphisms of a closed symplectic surface. We also classify simple Morse functions on symplectic surfaces with respect to actions of those groups. This gives an answer to V.Arnold's problem on describing all invariants of generic isovorticed fields for the 2D ideal fluids. For this we introduce a notion of anti-derivatives on a measured Reeb graph and describe their properties.","authors_text":"Anton Izosimov, Boris Khesin, Mehdi Mousavi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-22T01:21:48Z","title":"Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05629","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":"sha256:9b6a838107b122bf4648a943fe15ac08794b90378a09972bf0aab81c68459065","target":"record","created_at":"2026-05-18T01:18:09Z","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":"537d091697c4fa2f4ce890ebf63e7b1b62737d3602527725afa6048e604d5c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-04-22T01:21:48Z","title_canon_sha256":"37f285dd79333457c10bc395dc5350a9458e9d119886eb524ae88a6c88745088"},"schema_version":"1.0","source":{"id":"1504.05629","kind":"arxiv","version":2}},"canonical_sha256":"bd93bf056187c47319fac2f75246cd72be20c4c5002238d16c5bb4a5efc3cfed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd93bf056187c47319fac2f75246cd72be20c4c5002238d16c5bb4a5efc3cfed","first_computed_at":"2026-05-18T01:18:09.875385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:09.875385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hz05qhM4WptNB4QGAgji+o6ujx2WFhVu615UcBJaYn5NiyzwsGFFL12BpXzVn09f/9OEA3wphQYeNCjUnWsCCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:09.875935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b6a838107b122bf4648a943fe15ac08794b90378a09972bf0aab81c68459065","sha256:94fcfe24684086df3ec6230c89c21dba20bb58f1f44453e3cc7c65f3160b775a"],"state_sha256":"c0a6147722d6aaba272739f2d959dfd44d2f8a117c80e2e260ff4ffa8497f2cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSuRXrEN1wVD0XchQTGXYOa9ppC+5h5Z8CblmE7w7V6R23e9B8s5QZiloJZ3/DQUeyK/9uuufwgsDLiyNZe6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T23:26:20.759663Z","bundle_sha256":"f6ce6f56966a7d7de3e1d4f506bc141f50287582ae92c08e4e8fcdaf3cbe5120"}}