{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HIHIL3YSESH3WE3V5RS2ZGRUPK","short_pith_number":"pith:HIHIL3YS","schema_version":"1.0","canonical_sha256":"3a0e85ef12248fbb1375ec65ac9a347ab3f5e21ff137ad593e7880d65fcd6ea8","source":{"kind":"arxiv","id":"1208.5183","version":1},"attestation_state":"computed","paper":{"title":"Stability of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gui-Qiang G. Chen, Hairong Yuan, Vaibhav Kukreja","submitted_at":"2012-08-26T00:55:23Z","abstract_excerpt":"For a two-dimensional steady supersonic Euler flow past a convex cornered wall with right angle, a characteristic discontinuity (vortex sheet and/or entropy wave) is generated, which separates the supersonic flow from the gas at rest (hence subsonic). We proved that such a transonic characteristic discontinuity is structurally stable under small perturbations of the upstream supersonic flow in $BV$. The existence of a weak entropy solution and Lipschitz continuous free boundary (i.e. characteristic discontinuity) is established. To achieve this, the problem is formulated as a free boundary pro"},"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":"1208.5183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-08-26T00:55:23Z","cross_cats_sorted":[],"title_canon_sha256":"cff4b2aa96bb8a30db6fea756d80f98f1c9779c988fcb493b3113d9f1cd38cf6","abstract_canon_sha256":"36fedf4a684a22f17f7ead20fb3303f9fdc6cdf906d13df5e0159d29c6ed982d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:58.160702Z","signature_b64":"rCFqwvI8C2qOt2rVrYGgOieivq3Kv2fmMLskjZb4lvJKVCiUuvWqRiRYK6eVCbKLpMFkCOfjaSl6zKRo1bGQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a0e85ef12248fbb1375ec65ac9a347ab3f5e21ff137ad593e7880d65fcd6ea8","last_reissued_at":"2026-05-18T01:54:58.160005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:58.160005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gui-Qiang G. Chen, Hairong Yuan, Vaibhav Kukreja","submitted_at":"2012-08-26T00:55:23Z","abstract_excerpt":"For a two-dimensional steady supersonic Euler flow past a convex cornered wall with right angle, a characteristic discontinuity (vortex sheet and/or entropy wave) is generated, which separates the supersonic flow from the gas at rest (hence subsonic). We proved that such a transonic characteristic discontinuity is structurally stable under small perturbations of the upstream supersonic flow in $BV$. The existence of a weak entropy solution and Lipschitz continuous free boundary (i.e. characteristic discontinuity) is established. To achieve this, the problem is formulated as a free boundary pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5183","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":"1208.5183","created_at":"2026-05-18T01:54:58.160118+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.5183v1","created_at":"2026-05-18T01:54:58.160118+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5183","created_at":"2026-05-18T01:54:58.160118+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIHIL3YSESH3","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIHIL3YSESH3WE3V","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIHIL3YS","created_at":"2026-05-18T12:27:09.501522+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/HIHIL3YSESH3WE3V5RS2ZGRUPK","json":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK.json","graph_json":"https://pith.science/api/pith-number/HIHIL3YSESH3WE3V5RS2ZGRUPK/graph.json","events_json":"https://pith.science/api/pith-number/HIHIL3YSESH3WE3V5RS2ZGRUPK/events.json","paper":"https://pith.science/paper/HIHIL3YS"},"agent_actions":{"view_html":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK","download_json":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK.json","view_paper":"https://pith.science/paper/HIHIL3YS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.5183&json=true","fetch_graph":"https://pith.science/api/pith-number/HIHIL3YSESH3WE3V5RS2ZGRUPK/graph.json","fetch_events":"https://pith.science/api/pith-number/HIHIL3YSESH3WE3V5RS2ZGRUPK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK/action/storage_attestation","attest_author":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK/action/author_attestation","sign_citation":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK/action/citation_signature","submit_replication":"https://pith.science/pith/HIHIL3YSESH3WE3V5RS2ZGRUPK/action/replication_record"}},"created_at":"2026-05-18T01:54:58.160118+00:00","updated_at":"2026-05-18T01:54:58.160118+00:00"}