{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MIGL4GHQS5Z3P4WCQPSTMQVITG","short_pith_number":"pith:MIGL4GHQ","schema_version":"1.0","canonical_sha256":"620cbe18f09773b7f2c283e53642a899b0398813007af0cf5b2a336897e6f615","source":{"kind":"arxiv","id":"1811.06595","version":1},"attestation_state":"computed","paper":{"title":"Choreographic Holomorphic Spheres with Application to Hamiltonian Systems of $N$-Vortex Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Qun Wang","submitted_at":"2018-11-15T21:21:33Z","abstract_excerpt":"We study the existence of (relative) simple choreographies for a class of Hamiltonian systems describing the interaction of particles in the plane motivated mainly by the n-vortex type problem. In particular, by constructing choreographic pseudo-holomorphic spheres, we prove that there exist infinitely many non-trivial relative choreographies for the identical n-vortex problem arising from both the Euler equation and the Gross-Pitaevskii equation."},"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":"1811.06595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-15T21:21:33Z","cross_cats_sorted":[],"title_canon_sha256":"7998a8c19eb9c3d7261f61279ecbfd4a7a69042fc245d7d654f7ef0cb9c0b41d","abstract_canon_sha256":"a634dbc595b608c16804e2b889a10edfe02a0b6b4de364c7ee1eaa4f213a9f0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:34.416657Z","signature_b64":"nkULd6JzOa69jWKmowx8rqFa4S2Z5V/RmM33MK7Lwu43yUN8wofoDUQ5fXm+v68sxbE0MVbgeHmfQ4mJje5yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"620cbe18f09773b7f2c283e53642a899b0398813007af0cf5b2a336897e6f615","last_reissued_at":"2026-05-18T00:00:34.416035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:34.416035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Choreographic Holomorphic Spheres with Application to Hamiltonian Systems of $N$-Vortex Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Qun Wang","submitted_at":"2018-11-15T21:21:33Z","abstract_excerpt":"We study the existence of (relative) simple choreographies for a class of Hamiltonian systems describing the interaction of particles in the plane motivated mainly by the n-vortex type problem. In particular, by constructing choreographic pseudo-holomorphic spheres, we prove that there exist infinitely many non-trivial relative choreographies for the identical n-vortex problem arising from both the Euler equation and the Gross-Pitaevskii equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06595","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":"1811.06595","created_at":"2026-05-18T00:00:34.416126+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.06595v1","created_at":"2026-05-18T00:00:34.416126+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06595","created_at":"2026-05-18T00:00:34.416126+00:00"},{"alias_kind":"pith_short_12","alias_value":"MIGL4GHQS5Z3","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"MIGL4GHQS5Z3P4WC","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"MIGL4GHQ","created_at":"2026-05-18T12:32:37.024351+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/MIGL4GHQS5Z3P4WCQPSTMQVITG","json":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG.json","graph_json":"https://pith.science/api/pith-number/MIGL4GHQS5Z3P4WCQPSTMQVITG/graph.json","events_json":"https://pith.science/api/pith-number/MIGL4GHQS5Z3P4WCQPSTMQVITG/events.json","paper":"https://pith.science/paper/MIGL4GHQ"},"agent_actions":{"view_html":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG","download_json":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG.json","view_paper":"https://pith.science/paper/MIGL4GHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.06595&json=true","fetch_graph":"https://pith.science/api/pith-number/MIGL4GHQS5Z3P4WCQPSTMQVITG/graph.json","fetch_events":"https://pith.science/api/pith-number/MIGL4GHQS5Z3P4WCQPSTMQVITG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG/action/storage_attestation","attest_author":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG/action/author_attestation","sign_citation":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG/action/citation_signature","submit_replication":"https://pith.science/pith/MIGL4GHQS5Z3P4WCQPSTMQVITG/action/replication_record"}},"created_at":"2026-05-18T00:00:34.416126+00:00","updated_at":"2026-05-18T00:00:34.416126+00:00"}