{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:6NIUM6WMYA73LPKW6AK44Z7QMW","short_pith_number":"pith:6NIUM6WM","schema_version":"1.0","canonical_sha256":"f351467accc03fb5bd56f015ce67f06590c725f9bdb617a65751ead40b817add","source":{"kind":"arxiv","id":"0706.3415","version":1},"attestation_state":"computed","paper":{"title":"Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jeffrey Humpherys, Kevin Zumbrun, Nicola Costanzino, Toan Nguyen","submitted_at":"2007-06-22T22:45:05Z","abstract_excerpt":"Building on work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave case, we study stability of compressive, or \"shock-like\", boundary layers of the isentropic compressible Navier-Stokes equations with gamma-law pressure by a combination of asymptotic ODE estimates and numerical Evans function computations. Our results indicate stability for gamma in the interval [1, 3] for all compressive boundary-layers, independent of amplitude, save for inflow layers in the characteristic limit (not treated). Expansive inflow boundary-layers have been shown to be stable for all amplitudes b"},"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":"0706.3415","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2007-06-22T22:45:05Z","cross_cats_sorted":[],"title_canon_sha256":"8364cd03e58c30d049c9e0acc441cbd6cd12cb8a8c10f5675aad5c1ba55c6864","abstract_canon_sha256":"e258382fe81d717a5189370e8225b3dd8764a6d7ad59354221417bd797589d1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:44.790429Z","signature_b64":"sz6rs7KFjXrI9GkiOmAS/QN/UDQG9oowFmUHv15eQTyrbSNlktz7o3rsPHDq9W0pDFkuyVfOQC3NbLw3n3WKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f351467accc03fb5bd56f015ce67f06590c725f9bdb617a65751ead40b817add","last_reissued_at":"2026-05-18T00:42:44.789851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:44.789851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jeffrey Humpherys, Kevin Zumbrun, Nicola Costanzino, Toan Nguyen","submitted_at":"2007-06-22T22:45:05Z","abstract_excerpt":"Building on work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave case, we study stability of compressive, or \"shock-like\", boundary layers of the isentropic compressible Navier-Stokes equations with gamma-law pressure by a combination of asymptotic ODE estimates and numerical Evans function computations. Our results indicate stability for gamma in the interval [1, 3] for all compressive boundary-layers, independent of amplitude, save for inflow layers in the characteristic limit (not treated). Expansive inflow boundary-layers have been shown to be stable for all amplitudes b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.3415","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":"0706.3415","created_at":"2026-05-18T00:42:44.789931+00:00"},{"alias_kind":"arxiv_version","alias_value":"0706.3415v1","created_at":"2026-05-18T00:42:44.789931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.3415","created_at":"2026-05-18T00:42:44.789931+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NIUM6WMYA73","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NIUM6WMYA73LPKW","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NIUM6WM","created_at":"2026-05-18T12:25:55.427421+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/6NIUM6WMYA73LPKW6AK44Z7QMW","json":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW.json","graph_json":"https://pith.science/api/pith-number/6NIUM6WMYA73LPKW6AK44Z7QMW/graph.json","events_json":"https://pith.science/api/pith-number/6NIUM6WMYA73LPKW6AK44Z7QMW/events.json","paper":"https://pith.science/paper/6NIUM6WM"},"agent_actions":{"view_html":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW","download_json":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW.json","view_paper":"https://pith.science/paper/6NIUM6WM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0706.3415&json=true","fetch_graph":"https://pith.science/api/pith-number/6NIUM6WMYA73LPKW6AK44Z7QMW/graph.json","fetch_events":"https://pith.science/api/pith-number/6NIUM6WMYA73LPKW6AK44Z7QMW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW/action/storage_attestation","attest_author":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW/action/author_attestation","sign_citation":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW/action/citation_signature","submit_replication":"https://pith.science/pith/6NIUM6WMYA73LPKW6AK44Z7QMW/action/replication_record"}},"created_at":"2026-05-18T00:42:44.789931+00:00","updated_at":"2026-05-18T00:42:44.789931+00:00"}