{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:STWJUC35ECLZ7FXAMCDZJQ5Q6I","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":"071a589aaa36f8b0ac3f3b87769d2030551aaaea91d5188114e80e4559ba766b","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-12-12T18:28:15Z","title_canon_sha256":"566e567ba0fd9bb567988fe0a689a25cdd2ab56badaafc28cd7d01d8298af740"},"schema_version":"1.0","source":{"id":"1212.2918","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2918","created_at":"2026-05-18T02:43:37Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2918v2","created_at":"2026-05-18T02:43:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2918","created_at":"2026-05-18T02:43:37Z"},{"alias_kind":"pith_short_12","alias_value":"STWJUC35ECLZ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"STWJUC35ECLZ7FXA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"STWJUC35","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:de327498b655e08d724415067368250b32a2e082c29954458309635b7d14f8b0","target":"graph","created_at":"2026-05-18T02:43:37Z","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 consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold-Liouville theorem: the system not need to be integrable on the whole phase space, while the invariant hypersurface is foliated on an invariant Lagrangian tori. In the second part of the paper we consider contact systems with constraints. As an example, the Reeb flows on Brieskorn manifolds are considered.","authors_text":"Bozidar Jovanovic, Vladimir Jovanovic","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-12-12T18:28:15Z","title":"Contact flows and integrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2918","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":"sha256:77f87373a4c05b8329ffa97314ed1d2fe0d29dde66b42b01f2a0bb1a8d4e7d53","target":"record","created_at":"2026-05-18T02:43:37Z","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":"071a589aaa36f8b0ac3f3b87769d2030551aaaea91d5188114e80e4559ba766b","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-12-12T18:28:15Z","title_canon_sha256":"566e567ba0fd9bb567988fe0a689a25cdd2ab56badaafc28cd7d01d8298af740"},"schema_version":"1.0","source":{"id":"1212.2918","kind":"arxiv","version":2}},"canonical_sha256":"94ec9a0b7d20979f96e0608794c3b0f20d926166ad1af6a057ef75d7d28b0234","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94ec9a0b7d20979f96e0608794c3b0f20d926166ad1af6a057ef75d7d28b0234","first_computed_at":"2026-05-18T02:43:37.099230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:37.099230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2xXLBoyDC1pUGqEYNGeu0Ar+XCfuUhnvtgbpqtttJ4jV333Cl7I4FUDg6E+1YAwF04XyM8ZIm1PxiIh9yGrWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:37.099724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2918","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f87373a4c05b8329ffa97314ed1d2fe0d29dde66b42b01f2a0bb1a8d4e7d53","sha256:de327498b655e08d724415067368250b32a2e082c29954458309635b7d14f8b0"],"state_sha256":"54092320324be469afe2f992c7236103a532284b56ea2bab0feb0b68d242d012"}