{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6SPX2QTSRCZJ7ZFLNPO52ZWCHT","short_pith_number":"pith:6SPX2QTS","schema_version":"1.0","canonical_sha256":"f49f7d427288b29fe4ab6bdddd66c23ce86457cac4b0cf27bcbca61422bf3dbe","source":{"kind":"arxiv","id":"1510.06756","version":1},"attestation_state":"computed","paper":{"title":"Point Vortices: Finding Periodic Orbits and their Topological Classification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Spencer A. Smith","submitted_at":"2015-10-22T20:17:03Z","abstract_excerpt":"The motion of point vortices constitutes an especially simple class of solutions to Euler's equation for two dimensional, inviscid, incompressible, and irrotational fluids. In addition to their intrinsic mathematical importance, these solutions are also physically relevant. Rotating superfluid helium can support rectilinear quantized line vortices, which in certain regimes are accurately modeled by point vortices. Depending on the number of vortices, it is possible to have either regular integrable motion or chaotic motion. Thus, the point vortex model is one of the simplest and most tractable"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.06756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-10-22T20:17:03Z","cross_cats_sorted":["math-ph","math.DS","math.MP","physics.flu-dyn"],"title_canon_sha256":"8fbc0c35a9fcc8cdff07779aa8df5f2cd4e6e5015dadf7c19d443dfb2f75a068","abstract_canon_sha256":"6c61dc8aaeda1461edd7494ed3dba8c7bbb3c95805ac7289aaefbd58b7f40b16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:45.119813Z","signature_b64":"nCLyB5pUC+DkFgMtYgy+8j89Ea7uwzXaoW4H9HON//G+pxwXyiGQ1Np+1sHxZjbBewpr5WiWwqqCVwWFX2K9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f49f7d427288b29fe4ab6bdddd66c23ce86457cac4b0cf27bcbca61422bf3dbe","last_reissued_at":"2026-05-18T01:28:45.119400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:45.119400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Point Vortices: Finding Periodic Orbits and their Topological Classification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Spencer A. Smith","submitted_at":"2015-10-22T20:17:03Z","abstract_excerpt":"The motion of point vortices constitutes an especially simple class of solutions to Euler's equation for two dimensional, inviscid, incompressible, and irrotational fluids. In addition to their intrinsic mathematical importance, these solutions are also physically relevant. Rotating superfluid helium can support rectilinear quantized line vortices, which in certain regimes are accurately modeled by point vortices. Depending on the number of vortices, it is possible to have either regular integrable motion or chaotic motion. Thus, the point vortex model is one of the simplest and most tractable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06756","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.06756","created_at":"2026-05-18T01:28:45.119457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.06756v1","created_at":"2026-05-18T01:28:45.119457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06756","created_at":"2026-05-18T01:28:45.119457+00:00"},{"alias_kind":"pith_short_12","alias_value":"6SPX2QTSRCZJ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6SPX2QTSRCZJ7ZFL","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6SPX2QTS","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT","json":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT.json","graph_json":"https://pith.science/api/pith-number/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/graph.json","events_json":"https://pith.science/api/pith-number/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/events.json","paper":"https://pith.science/paper/6SPX2QTS"},"agent_actions":{"view_html":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT","download_json":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT.json","view_paper":"https://pith.science/paper/6SPX2QTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.06756&json=true","fetch_graph":"https://pith.science/api/pith-number/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/graph.json","fetch_events":"https://pith.science/api/pith-number/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/action/storage_attestation","attest_author":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/action/author_attestation","sign_citation":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/action/citation_signature","submit_replication":"https://pith.science/pith/6SPX2QTSRCZJ7ZFLNPO52ZWCHT/action/replication_record"}},"created_at":"2026-05-18T01:28:45.119457+00:00","updated_at":"2026-05-18T01:28:45.119457+00:00"}