{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TJ3RKGESQGEY4K4AUB7GEM2KTQ","short_pith_number":"pith:TJ3RKGES","schema_version":"1.0","canonical_sha256":"9a7715189281898e2b80a07e62334a9c2ddb460492d1299019afb9425cd35317","source":{"kind":"arxiv","id":"1509.03142","version":1},"attestation_state":"computed","paper":{"title":"Simulated Navier-Stokes trefoil reconnection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"physics.flu-dyn","authors_text":"Robert M. Kerr","submitted_at":"2015-09-10T13:29:37Z","abstract_excerpt":"The evolution and self-reconnection of a perturbed trefoil vortex knot is simulated, then compared to recent experimental measurements (Scheeler et al. 2014a). Qualitative comparisons using three-dimensional vorticity isosurfaces and lines, then quantitative comparisons using the helicity. To have a single initial reconnection, as in the experiments, the trefoil is perturbed by 4 weak vortex rings. Initially there is a long period with deformations similar to the experiment during which the energy, continuum helicity and topological self-linking number are all preserved. In the next period, on"},"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":"1509.03142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-10T13:29:37Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"0b0b7307798932fd0444f1be5fffaee1c13ba2e9f37fe7d0e541fd08161b0063","abstract_canon_sha256":"b72c3d22020178f34775728e2927a889209e604bdc31b25bf55c0bc64097e7b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:25.235194Z","signature_b64":"BOqcaN9R/xTaR7DSC0vw4HS46SnlZNdfGTw0CoAoelnnzpYb8XHPQtAShup13LtetKU5lcX5kZg9Q0usXpv+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7715189281898e2b80a07e62334a9c2ddb460492d1299019afb9425cd35317","last_reissued_at":"2026-05-18T01:33:25.234539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:25.234539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simulated Navier-Stokes trefoil reconnection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"physics.flu-dyn","authors_text":"Robert M. Kerr","submitted_at":"2015-09-10T13:29:37Z","abstract_excerpt":"The evolution and self-reconnection of a perturbed trefoil vortex knot is simulated, then compared to recent experimental measurements (Scheeler et al. 2014a). Qualitative comparisons using three-dimensional vorticity isosurfaces and lines, then quantitative comparisons using the helicity. To have a single initial reconnection, as in the experiments, the trefoil is perturbed by 4 weak vortex rings. Initially there is a long period with deformations similar to the experiment during which the energy, continuum helicity and topological self-linking number are all preserved. In the next period, on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03142","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":"1509.03142","created_at":"2026-05-18T01:33:25.234638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.03142v1","created_at":"2026-05-18T01:33:25.234638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03142","created_at":"2026-05-18T01:33:25.234638+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJ3RKGESQGEY","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJ3RKGESQGEY4K4A","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJ3RKGES","created_at":"2026-05-18T12:29:42.218222+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/TJ3RKGESQGEY4K4AUB7GEM2KTQ","json":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ.json","graph_json":"https://pith.science/api/pith-number/TJ3RKGESQGEY4K4AUB7GEM2KTQ/graph.json","events_json":"https://pith.science/api/pith-number/TJ3RKGESQGEY4K4AUB7GEM2KTQ/events.json","paper":"https://pith.science/paper/TJ3RKGES"},"agent_actions":{"view_html":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ","download_json":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ.json","view_paper":"https://pith.science/paper/TJ3RKGES","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.03142&json=true","fetch_graph":"https://pith.science/api/pith-number/TJ3RKGESQGEY4K4AUB7GEM2KTQ/graph.json","fetch_events":"https://pith.science/api/pith-number/TJ3RKGESQGEY4K4AUB7GEM2KTQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ/action/storage_attestation","attest_author":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ/action/author_attestation","sign_citation":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ/action/citation_signature","submit_replication":"https://pith.science/pith/TJ3RKGESQGEY4K4AUB7GEM2KTQ/action/replication_record"}},"created_at":"2026-05-18T01:33:25.234638+00:00","updated_at":"2026-05-18T01:33:25.234638+00:00"}