{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BQT6D6MRK54NLPAI5WHUP466IM","short_pith_number":"pith:BQT6D6MR","schema_version":"1.0","canonical_sha256":"0c27e1f9915778d5bc08ed8f47f3de43059af878aba9e6bf2d5b94aa6bb36621","source":{"kind":"arxiv","id":"0911.1870","version":1},"attestation_state":"computed","paper":{"title":"A convergent mixed method for the Stokes approximation of viscous compressible flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Kenneth Karlsen, Trygve Karper","submitted_at":"2009-11-10T10:22:32Z","abstract_excerpt":"We propose a mixed finite element method for the motion of a strongly viscous, ideal, and isentropic gas. At the boundary we impose a Navier-slip condition such that the velocity equation can be posed in mixed form with the vorticity as an auxiliary variable. In this formulation we design a finite element method, where the velocity and vorticity is approximated with the div- and curl- conforming Nedelec elements, respectively, of the first order and first kind. The mixed scheme is coupled to a standard piecewise constant upwind discontinuous Galerkin discretization of the continuity equation. "},"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":"0911.1870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-11-10T10:22:32Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"ecebdfdcbbc78fae0650c3fd2ab6432bd896017ffe4baaef87fd4c8c2836c691","abstract_canon_sha256":"ff08c0498c8844de8a564ab6576f2fd7575953bac629d5e4f87f0e705df3c314"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:30.554888Z","signature_b64":"dDny913zOX3iMYzJfm8+nsR9v15NksvWQ/zEzcPhzg7cfNQMjvjVVop2JO9OjGG9e3b9yZbOoEivajSnZ9iVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c27e1f9915778d5bc08ed8f47f3de43059af878aba9e6bf2d5b94aa6bb36621","last_reissued_at":"2026-06-03T23:06:30.554413Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:30.554413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A convergent mixed method for the Stokes approximation of viscous compressible flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Kenneth Karlsen, Trygve Karper","submitted_at":"2009-11-10T10:22:32Z","abstract_excerpt":"We propose a mixed finite element method for the motion of a strongly viscous, ideal, and isentropic gas. At the boundary we impose a Navier-slip condition such that the velocity equation can be posed in mixed form with the vorticity as an auxiliary variable. In this formulation we design a finite element method, where the velocity and vorticity is approximated with the div- and curl- conforming Nedelec elements, respectively, of the first order and first kind. The mixed scheme is coupled to a standard piecewise constant upwind discontinuous Galerkin discretization of the continuity equation. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1870","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0911.1870/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0911.1870","created_at":"2026-06-03T23:06:30.554487+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.1870v1","created_at":"2026-06-03T23:06:30.554487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1870","created_at":"2026-06-03T23:06:30.554487+00:00"},{"alias_kind":"pith_short_12","alias_value":"BQT6D6MRK54N","created_at":"2026-06-03T23:06:30.554487+00:00"},{"alias_kind":"pith_short_16","alias_value":"BQT6D6MRK54NLPAI","created_at":"2026-06-03T23:06:30.554487+00:00"},{"alias_kind":"pith_short_8","alias_value":"BQT6D6MR","created_at":"2026-06-03T23:06:30.554487+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/BQT6D6MRK54NLPAI5WHUP466IM","json":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM.json","graph_json":"https://pith.science/api/pith-number/BQT6D6MRK54NLPAI5WHUP466IM/graph.json","events_json":"https://pith.science/api/pith-number/BQT6D6MRK54NLPAI5WHUP466IM/events.json","paper":"https://pith.science/paper/BQT6D6MR"},"agent_actions":{"view_html":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM","download_json":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM.json","view_paper":"https://pith.science/paper/BQT6D6MR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.1870&json=true","fetch_graph":"https://pith.science/api/pith-number/BQT6D6MRK54NLPAI5WHUP466IM/graph.json","fetch_events":"https://pith.science/api/pith-number/BQT6D6MRK54NLPAI5WHUP466IM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM/action/storage_attestation","attest_author":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM/action/author_attestation","sign_citation":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM/action/citation_signature","submit_replication":"https://pith.science/pith/BQT6D6MRK54NLPAI5WHUP466IM/action/replication_record"}},"created_at":"2026-06-03T23:06:30.554487+00:00","updated_at":"2026-06-03T23:06:30.554487+00:00"}