{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TW2N65S2ZZZIAEPVIDTP3CMRLA","short_pith_number":"pith:TW2N65S2","schema_version":"1.0","canonical_sha256":"9db4df765ace728011f540e6fd89915837542f8d0cf401a6949485496c79cd3c","source":{"kind":"arxiv","id":"1406.5021","version":1},"attestation_state":"computed","paper":{"title":"The interplay of curvature and vortices in flow on curved surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Axel Voigt, Sebastian Reuther","submitted_at":"2014-06-19T12:25:22Z","abstract_excerpt":"Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements. Motivated by designed examples for superfluids, we consider the influence of a geometric potential on vortices for fluids with finite viscosity and show numerical examples in which a change in the geometry is used to manipulate the flow field."},"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":"1406.5021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-06-19T12:25:22Z","cross_cats_sorted":["math-ph","math.MP","physics.comp-ph"],"title_canon_sha256":"f49ef12762519afb38a0bdcc16cfa2afb4c50ae4a8ff4926ac408ad528138417","abstract_canon_sha256":"eadc0c49c7790ac2da634acd3f9aac709af0575e208bbb9032a5cf5424f8d785"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:21.138933Z","signature_b64":"s74aZkMwOn1+3R0y7LePxjGaTXstHjHMCDBUPQrynYG0YsA3LkER9cz5sUu9fDU4UFeZWHR5RDEKn3Vd/SQHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9db4df765ace728011f540e6fd89915837542f8d0cf401a6949485496c79cd3c","last_reissued_at":"2026-05-18T02:49:21.135564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:21.135564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The interplay of curvature and vortices in flow on curved surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Axel Voigt, Sebastian Reuther","submitted_at":"2014-06-19T12:25:22Z","abstract_excerpt":"Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements. Motivated by designed examples for superfluids, we consider the influence of a geometric potential on vortices for fluids with finite viscosity and show numerical examples in which a change in the geometry is used to manipulate the flow field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5021","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":"1406.5021","created_at":"2026-05-18T02:49:21.135948+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.5021v1","created_at":"2026-05-18T02:49:21.135948+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5021","created_at":"2026-05-18T02:49:21.135948+00:00"},{"alias_kind":"pith_short_12","alias_value":"TW2N65S2ZZZI","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"TW2N65S2ZZZIAEPV","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"TW2N65S2","created_at":"2026-05-18T12:28:52.271510+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/TW2N65S2ZZZIAEPVIDTP3CMRLA","json":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA.json","graph_json":"https://pith.science/api/pith-number/TW2N65S2ZZZIAEPVIDTP3CMRLA/graph.json","events_json":"https://pith.science/api/pith-number/TW2N65S2ZZZIAEPVIDTP3CMRLA/events.json","paper":"https://pith.science/paper/TW2N65S2"},"agent_actions":{"view_html":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA","download_json":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA.json","view_paper":"https://pith.science/paper/TW2N65S2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.5021&json=true","fetch_graph":"https://pith.science/api/pith-number/TW2N65S2ZZZIAEPVIDTP3CMRLA/graph.json","fetch_events":"https://pith.science/api/pith-number/TW2N65S2ZZZIAEPVIDTP3CMRLA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA/action/storage_attestation","attest_author":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA/action/author_attestation","sign_citation":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA/action/citation_signature","submit_replication":"https://pith.science/pith/TW2N65S2ZZZIAEPVIDTP3CMRLA/action/replication_record"}},"created_at":"2026-05-18T02:49:21.135948+00:00","updated_at":"2026-05-18T02:49:21.135948+00:00"}