{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FPQPMNQLLZZA5FQ6EETQ2EL2HK","short_pith_number":"pith:FPQPMNQL","schema_version":"1.0","canonical_sha256":"2be0f6360b5e720e961e21270d117a3a86bea1533e453087facc7fb2169b9228","source":{"kind":"arxiv","id":"1304.6795","version":1},"attestation_state":"computed","paper":{"title":"Dipole interactions in doubly-periodic domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.bio-ph","authors_text":"Alan Cheng Hou Tsang, Eva Kanso","submitted_at":"2013-04-25T03:55:25Z","abstract_excerpt":"We consider the interactions of finite dipoles in a doubly-periodic domain. A finite dipole is a pair of equal and opposite strength point vortices separated by a finite distance. The dynamics of multiple finite dipoles in an unbounded inviscid uid was first proposed by Tchieu, Kanso & Newton in [1] as a model that captures the \"far- field\" hydrodynamic interactions in fish schools. In this paper, we formulate the equations of motion governing the dynamics of finite-dipoles in a doubly-periodic domain. We show that a single dipole in a doubly-periodic domain exhibits periodic and aperiodic beh"},"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":"1304.6795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2013-04-25T03:55:25Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"9e96021c10a040e013fc6e1d1be85bae2f28da8f0526ea68de65ababfcf7a5d7","abstract_canon_sha256":"43d363b744e757ade073ab345ab44db49a9e09fb26bbe038f714d87d693189ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:11.865944Z","signature_b64":"DnghR+ONFLCSePBdm9DFklumEHO9odd2+RrrvnOA9aezWgbtKWatzuuTECLiy+5AHPKE9rM49lXCTUKWYfMIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2be0f6360b5e720e961e21270d117a3a86bea1533e453087facc7fb2169b9228","last_reissued_at":"2026-05-18T03:27:11.865335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:11.865335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dipole interactions in doubly-periodic domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.bio-ph","authors_text":"Alan Cheng Hou Tsang, Eva Kanso","submitted_at":"2013-04-25T03:55:25Z","abstract_excerpt":"We consider the interactions of finite dipoles in a doubly-periodic domain. A finite dipole is a pair of equal and opposite strength point vortices separated by a finite distance. The dynamics of multiple finite dipoles in an unbounded inviscid uid was first proposed by Tchieu, Kanso & Newton in [1] as a model that captures the \"far- field\" hydrodynamic interactions in fish schools. In this paper, we formulate the equations of motion governing the dynamics of finite-dipoles in a doubly-periodic domain. We show that a single dipole in a doubly-periodic domain exhibits periodic and aperiodic beh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6795","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":"1304.6795","created_at":"2026-05-18T03:27:11.865425+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6795v1","created_at":"2026-05-18T03:27:11.865425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6795","created_at":"2026-05-18T03:27:11.865425+00:00"},{"alias_kind":"pith_short_12","alias_value":"FPQPMNQLLZZA","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FPQPMNQLLZZA5FQ6","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FPQPMNQL","created_at":"2026-05-18T12:27:45.050594+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/FPQPMNQLLZZA5FQ6EETQ2EL2HK","json":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK.json","graph_json":"https://pith.science/api/pith-number/FPQPMNQLLZZA5FQ6EETQ2EL2HK/graph.json","events_json":"https://pith.science/api/pith-number/FPQPMNQLLZZA5FQ6EETQ2EL2HK/events.json","paper":"https://pith.science/paper/FPQPMNQL"},"agent_actions":{"view_html":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK","download_json":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK.json","view_paper":"https://pith.science/paper/FPQPMNQL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6795&json=true","fetch_graph":"https://pith.science/api/pith-number/FPQPMNQLLZZA5FQ6EETQ2EL2HK/graph.json","fetch_events":"https://pith.science/api/pith-number/FPQPMNQLLZZA5FQ6EETQ2EL2HK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK/action/storage_attestation","attest_author":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK/action/author_attestation","sign_citation":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK/action/citation_signature","submit_replication":"https://pith.science/pith/FPQPMNQLLZZA5FQ6EETQ2EL2HK/action/replication_record"}},"created_at":"2026-05-18T03:27:11.865425+00:00","updated_at":"2026-05-18T03:27:11.865425+00:00"}