{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2U6LEBHVVSHZ54P3KWCPWU5NBW","short_pith_number":"pith:2U6LEBHV","schema_version":"1.0","canonical_sha256":"d53cb204f5ac8f9ef1fb5584fb53ad0d897c9e3a9f752750356603892cddb36c","source":{"kind":"arxiv","id":"1603.07379","version":2},"attestation_state":"computed","paper":{"title":"Diffusive Wave in the Low Mach Limit for Compressible Navier-Stokes Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Feimin Huang, Tian-Yi Wang, Yong Wang","submitted_at":"2016-03-23T22:25:26Z","abstract_excerpt":"The low Mach limit for 1D non-isentropic compressible Navier-Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and ill-prepared data. For the well-prepared data, the solutions of compressible Navier-Stokes equations are shown to converge to a nonlinear diffusion wave solution globally in time as Mach number goes to zero when the difference between the states at $\\pm\\infty$ is suitably small. In particular, the velocity of diffusion wave is only driven by the variation of temperatur"},"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":"1603.07379","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-23T22:25:26Z","cross_cats_sorted":[],"title_canon_sha256":"db53ca31847f7e1387d0b953c2a9972143b847f6c40a05cf49e22d71319dd22a","abstract_canon_sha256":"c3f7d01887293a4c9f40972e25d22898e1ae1d43c9c35f57931eb6f0087cadf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:08.594542Z","signature_b64":"OgYswAmUBqwvAJ1ELG00Q/wXzhwDZG109/O696TNmOLvEmRDXLSqajv3dn18lu7juCpwWeFMXiTlRzq/PGSCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d53cb204f5ac8f9ef1fb5584fb53ad0d897c9e3a9f752750356603892cddb36c","last_reissued_at":"2026-05-18T01:01:08.594009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:08.594009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusive Wave in the Low Mach Limit for Compressible Navier-Stokes Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Feimin Huang, Tian-Yi Wang, Yong Wang","submitted_at":"2016-03-23T22:25:26Z","abstract_excerpt":"The low Mach limit for 1D non-isentropic compressible Navier-Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and ill-prepared data. For the well-prepared data, the solutions of compressible Navier-Stokes equations are shown to converge to a nonlinear diffusion wave solution globally in time as Mach number goes to zero when the difference between the states at $\\pm\\infty$ is suitably small. In particular, the velocity of diffusion wave is only driven by the variation of temperatur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07379","kind":"arxiv","version":2},"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":"1603.07379","created_at":"2026-05-18T01:01:08.594102+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.07379v2","created_at":"2026-05-18T01:01:08.594102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07379","created_at":"2026-05-18T01:01:08.594102+00:00"},{"alias_kind":"pith_short_12","alias_value":"2U6LEBHVVSHZ","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2U6LEBHVVSHZ54P3","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2U6LEBHV","created_at":"2026-05-18T12:29:55.572404+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/2U6LEBHVVSHZ54P3KWCPWU5NBW","json":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW.json","graph_json":"https://pith.science/api/pith-number/2U6LEBHVVSHZ54P3KWCPWU5NBW/graph.json","events_json":"https://pith.science/api/pith-number/2U6LEBHVVSHZ54P3KWCPWU5NBW/events.json","paper":"https://pith.science/paper/2U6LEBHV"},"agent_actions":{"view_html":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW","download_json":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW.json","view_paper":"https://pith.science/paper/2U6LEBHV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.07379&json=true","fetch_graph":"https://pith.science/api/pith-number/2U6LEBHVVSHZ54P3KWCPWU5NBW/graph.json","fetch_events":"https://pith.science/api/pith-number/2U6LEBHVVSHZ54P3KWCPWU5NBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW/action/storage_attestation","attest_author":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW/action/author_attestation","sign_citation":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW/action/citation_signature","submit_replication":"https://pith.science/pith/2U6LEBHVVSHZ54P3KWCPWU5NBW/action/replication_record"}},"created_at":"2026-05-18T01:01:08.594102+00:00","updated_at":"2026-05-18T01:01:08.594102+00:00"}