{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WLBJD4BEW6PN5EOL2BHZ7LJJU7","short_pith_number":"pith:WLBJD4BE","schema_version":"1.0","canonical_sha256":"b2c291f024b79ede91cbd04f9fad29a7e93c26a09b3ff2a254a1ebcc91b56f34","source":{"kind":"arxiv","id":"1304.2082","version":1},"attestation_state":"computed","paper":{"title":"Planar limits of three-dimensional incompressible flows with helical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Anna L. Mazzucato, Dongjuan Niu, Edriss S. Titi, Helena J. Nussenzveig Lopes, Milton C. Lopes Filho","submitted_at":"2013-04-08T00:44:12Z","abstract_excerpt":"Helical symmetry is invariance under a one-dimensional group of rigid motions generated by a simultaneous rotation around a fixed axis and translation along the same axis. The key parameter in helical symmetry is the step or pitch, the magnitude of the translation after rotating one full turn around the symmetry axis. In this article we study the limits of three-dimensional helical viscous and inviscid incompressible flows in an infinite circular pipe, with respectively no-slip and no-penetration boundary conditions, as the step approaches infinity. We show that, as the step becomes large, the"},"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":"1304.2082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-08T00:44:12Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"0ac17120be22fab3f748f4258766f6f5c66f0e59df8244d384b5f75bb89eb125","abstract_canon_sha256":"f22528ca860a09bc267b7ee4727cf1d811bcd62d5ad064874a485a1da2136635"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:41.798927Z","signature_b64":"Nr/zhj4ycBjE6J2WBJqJLNbhy7XCa5diJ6sVnOvVQhfJHOAQfSkEO04t7HJFF94/xSnS4ez8YIWpAlgX0bwcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2c291f024b79ede91cbd04f9fad29a7e93c26a09b3ff2a254a1ebcc91b56f34","last_reissued_at":"2026-05-18T01:50:41.798257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:41.798257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Planar limits of three-dimensional incompressible flows with helical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Anna L. Mazzucato, Dongjuan Niu, Edriss S. Titi, Helena J. Nussenzveig Lopes, Milton C. Lopes Filho","submitted_at":"2013-04-08T00:44:12Z","abstract_excerpt":"Helical symmetry is invariance under a one-dimensional group of rigid motions generated by a simultaneous rotation around a fixed axis and translation along the same axis. The key parameter in helical symmetry is the step or pitch, the magnitude of the translation after rotating one full turn around the symmetry axis. In this article we study the limits of three-dimensional helical viscous and inviscid incompressible flows in an infinite circular pipe, with respectively no-slip and no-penetration boundary conditions, as the step approaches infinity. We show that, as the step becomes large, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2082","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":"1304.2082","created_at":"2026-05-18T01:50:41.798374+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2082v1","created_at":"2026-05-18T01:50:41.798374+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2082","created_at":"2026-05-18T01:50:41.798374+00:00"},{"alias_kind":"pith_short_12","alias_value":"WLBJD4BEW6PN","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WLBJD4BEW6PN5EOL","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WLBJD4BE","created_at":"2026-05-18T12:28:04.890932+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/WLBJD4BEW6PN5EOL2BHZ7LJJU7","json":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7.json","graph_json":"https://pith.science/api/pith-number/WLBJD4BEW6PN5EOL2BHZ7LJJU7/graph.json","events_json":"https://pith.science/api/pith-number/WLBJD4BEW6PN5EOL2BHZ7LJJU7/events.json","paper":"https://pith.science/paper/WLBJD4BE"},"agent_actions":{"view_html":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7","download_json":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7.json","view_paper":"https://pith.science/paper/WLBJD4BE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2082&json=true","fetch_graph":"https://pith.science/api/pith-number/WLBJD4BEW6PN5EOL2BHZ7LJJU7/graph.json","fetch_events":"https://pith.science/api/pith-number/WLBJD4BEW6PN5EOL2BHZ7LJJU7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7/action/storage_attestation","attest_author":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7/action/author_attestation","sign_citation":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7/action/citation_signature","submit_replication":"https://pith.science/pith/WLBJD4BEW6PN5EOL2BHZ7LJJU7/action/replication_record"}},"created_at":"2026-05-18T01:50:41.798374+00:00","updated_at":"2026-05-18T01:50:41.798374+00:00"}