{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:EVNQFAKM75PHA3WFCWMKON2AUQ","short_pith_number":"pith:EVNQFAKM","schema_version":"1.0","canonical_sha256":"255b02814cff5e706ec51598a73740a43b8c5cf08d84c627ce1f9f9b419cf2d1","source":{"kind":"arxiv","id":"2406.04700","version":1},"attestation_state":"computed","paper":{"title":"Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chunhui Zhou, Wenbin Li","submitted_at":"2024-06-07T07:19:42Z","abstract_excerpt":"We investigate the existence and the zero viscosity limit of steady compressible shear flow with Navier-slip boundary condition in the absence of any external force in a two-dimension domain $\\Omega=(0,L)\\times(0,2)$. More precisely, under the assumption that the Mach number $\\eta<\\va^{\\f12+}$ and $L\\ll1$, we prove the existence of smooth solutions to steady compressible Naiver-Stokes equations near plane Poiseuille-Couette flow as well as the convergence of the solutions obtained above to the solutions of steady incompressible Euler equations when the viscous $\\va$ tends to zero."},"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":"2406.04700","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2024-06-07T07:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"33b6f88d55b011615d03c6574b02cea7ffdd2b7da91820c931572ff056980c31","abstract_canon_sha256":"1f233da9740f03ccabb1ec14f64f8aec28046b7d648cff678595881e7e96c8c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:28:47.908525Z","signature_b64":"F/Yf1om/aYSZpA3OhHmhqgUZolNvfmUT/EuSER7izL6nQpdUb3H27EjwkC1uJL6Jx0GPKo+1zZOMTyMUa60jAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"255b02814cff5e706ec51598a73740a43b8c5cf08d84c627ce1f9f9b419cf2d1","last_reissued_at":"2026-07-05T08:28:47.908078Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:28:47.908078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zero Viscosity Limit of Steady Compressible Shear Flow with Navier-Slip Boundary","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chunhui Zhou, Wenbin Li","submitted_at":"2024-06-07T07:19:42Z","abstract_excerpt":"We investigate the existence and the zero viscosity limit of steady compressible shear flow with Navier-slip boundary condition in the absence of any external force in a two-dimension domain $\\Omega=(0,L)\\times(0,2)$. More precisely, under the assumption that the Mach number $\\eta<\\va^{\\f12+}$ and $L\\ll1$, we prove the existence of smooth solutions to steady compressible Naiver-Stokes equations near plane Poiseuille-Couette flow as well as the convergence of the solutions obtained above to the solutions of steady incompressible Euler equations when the viscous $\\va$ tends to zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04700","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/2406.04700/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":"2406.04700","created_at":"2026-07-05T08:28:47.908141+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.04700v1","created_at":"2026-07-05T08:28:47.908141+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04700","created_at":"2026-07-05T08:28:47.908141+00:00"},{"alias_kind":"pith_short_12","alias_value":"EVNQFAKM75PH","created_at":"2026-07-05T08:28:47.908141+00:00"},{"alias_kind":"pith_short_16","alias_value":"EVNQFAKM75PHA3WF","created_at":"2026-07-05T08:28:47.908141+00:00"},{"alias_kind":"pith_short_8","alias_value":"EVNQFAKM","created_at":"2026-07-05T08:28:47.908141+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/EVNQFAKM75PHA3WFCWMKON2AUQ","json":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ.json","graph_json":"https://pith.science/api/pith-number/EVNQFAKM75PHA3WFCWMKON2AUQ/graph.json","events_json":"https://pith.science/api/pith-number/EVNQFAKM75PHA3WFCWMKON2AUQ/events.json","paper":"https://pith.science/paper/EVNQFAKM"},"agent_actions":{"view_html":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ","download_json":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ.json","view_paper":"https://pith.science/paper/EVNQFAKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.04700&json=true","fetch_graph":"https://pith.science/api/pith-number/EVNQFAKM75PHA3WFCWMKON2AUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EVNQFAKM75PHA3WFCWMKON2AUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ/action/storage_attestation","attest_author":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ/action/author_attestation","sign_citation":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ/action/citation_signature","submit_replication":"https://pith.science/pith/EVNQFAKM75PHA3WFCWMKON2AUQ/action/replication_record"}},"created_at":"2026-07-05T08:28:47.908141+00:00","updated_at":"2026-07-05T08:28:47.908141+00:00"}