{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XLHVJRHAVBFO5MSIPBVVIMVZF4","short_pith_number":"pith:XLHVJRHA","schema_version":"1.0","canonical_sha256":"bacf54c4e0a84aeeb248786b5432b92f0743911079ca44262493015a33b9a9a1","source":{"kind":"arxiv","id":"1612.06312","version":1},"attestation_state":"computed","paper":{"title":"A $C^1$-continuous finite element formulation for solving the Jeffery-Hamel boundary value problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"John W. Peterson, Roy H. Stogner","submitted_at":"2016-12-19T19:06:20Z","abstract_excerpt":"The third-order Jeffery-Hamel ODE governing the flow of an incompressible fluid in a two-dimensional wedge is briefly derived, and a C^1 finite element formulation of the equation is developed. This formulation has several advantages, including a natural framework for enforcing the boundary conditions, a numerically efficient solution procedure, and suitability for implementation within well-established, open, scientific computing tools. The finite element formulation is shown to be non-coercive, and therefore not ideal for proving existence, uniqueness, or a priori error estimates, but the nu"},"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":"1612.06312","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-19T19:06:20Z","cross_cats_sorted":[],"title_canon_sha256":"f1665194b71daaadee2892464824ed42fb38bef7dec9989baaf6cdcf4d3746bc","abstract_canon_sha256":"228c770db81d8505df77e2cd15b217b21e0997ea95c6743bcf8eacb3c9638227"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:42.522331Z","signature_b64":"Bpukw3U4RKlRW7BeiL0ph75WLR95rahyoDn9Ac2ZqNmxx52LhRvuUJKcfDbocP3YA0elUc5cKEk87HEDwF7dAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bacf54c4e0a84aeeb248786b5432b92f0743911079ca44262493015a33b9a9a1","last_reissued_at":"2026-05-18T00:54:42.521843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:42.521843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A $C^1$-continuous finite element formulation for solving the Jeffery-Hamel boundary value problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"John W. Peterson, Roy H. Stogner","submitted_at":"2016-12-19T19:06:20Z","abstract_excerpt":"The third-order Jeffery-Hamel ODE governing the flow of an incompressible fluid in a two-dimensional wedge is briefly derived, and a C^1 finite element formulation of the equation is developed. This formulation has several advantages, including a natural framework for enforcing the boundary conditions, a numerically efficient solution procedure, and suitability for implementation within well-established, open, scientific computing tools. The finite element formulation is shown to be non-coercive, and therefore not ideal for proving existence, uniqueness, or a priori error estimates, but the nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06312","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":"1612.06312","created_at":"2026-05-18T00:54:42.521913+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.06312v1","created_at":"2026-05-18T00:54:42.521913+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06312","created_at":"2026-05-18T00:54:42.521913+00:00"},{"alias_kind":"pith_short_12","alias_value":"XLHVJRHAVBFO","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XLHVJRHAVBFO5MSI","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XLHVJRHA","created_at":"2026-05-18T12:30:51.357362+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/XLHVJRHAVBFO5MSIPBVVIMVZF4","json":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4.json","graph_json":"https://pith.science/api/pith-number/XLHVJRHAVBFO5MSIPBVVIMVZF4/graph.json","events_json":"https://pith.science/api/pith-number/XLHVJRHAVBFO5MSIPBVVIMVZF4/events.json","paper":"https://pith.science/paper/XLHVJRHA"},"agent_actions":{"view_html":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4","download_json":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4.json","view_paper":"https://pith.science/paper/XLHVJRHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.06312&json=true","fetch_graph":"https://pith.science/api/pith-number/XLHVJRHAVBFO5MSIPBVVIMVZF4/graph.json","fetch_events":"https://pith.science/api/pith-number/XLHVJRHAVBFO5MSIPBVVIMVZF4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4/action/storage_attestation","attest_author":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4/action/author_attestation","sign_citation":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4/action/citation_signature","submit_replication":"https://pith.science/pith/XLHVJRHAVBFO5MSIPBVVIMVZF4/action/replication_record"}},"created_at":"2026-05-18T00:54:42.521913+00:00","updated_at":"2026-05-18T00:54:42.521913+00:00"}