{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:U4GQAQAI2GL6JJMSHXNMD3UAX6","short_pith_number":"pith:U4GQAQAI","schema_version":"1.0","canonical_sha256":"a70d004008d197e4a5923ddac1ee80bf85e32daa357f9a4373d90e1da6678949","source":{"kind":"arxiv","id":"0804.2500","version":1},"attestation_state":"computed","paper":{"title":"Regularity of Solutions to Regular Shock Reflection for Potential Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gui-Qiang Chen, Mikhail Feldman, Myoungjean Bae","submitted_at":"2008-04-15T23:14:05Z","abstract_excerpt":"The shock reflection problem is one of the most important problems in mathematical fluid dynamics, since this problem not only arises in many important physical situations but also is fundamental for the theory of multidimensional conservation laws. However, most of the fundamental issues for shock reflection have not been understood. Therefore, it is important to establish the regularity of solutions to shock reflection in order to understand fully the phenomena of shock reflection. On the other hand, for a regular reflection configuration, the potential flow governs the exact behavior of the"},"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":"0804.2500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-04-15T23:14:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f9a37ad45ff4c7f9ed2fb3e16c933031217dd75be9894ddb6b7fe3715c141cba","abstract_canon_sha256":"e366f8caaa2415f03b8b45413d81c2c19726416f1207f667d7160d939615ae16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:53.594946Z","signature_b64":"nBZt32sO/r57Jk01d7OcLM8d334zKLanc0qI2JKiZ6+RA9H58OeHYrNbgE4zVQ3bg7dK5QzBAZKZArsow5ZOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a70d004008d197e4a5923ddac1ee80bf85e32daa357f9a4373d90e1da6678949","last_reissued_at":"2026-05-18T02:15:53.594267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:53.594267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity of Solutions to Regular Shock Reflection for Potential Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gui-Qiang Chen, Mikhail Feldman, Myoungjean Bae","submitted_at":"2008-04-15T23:14:05Z","abstract_excerpt":"The shock reflection problem is one of the most important problems in mathematical fluid dynamics, since this problem not only arises in many important physical situations but also is fundamental for the theory of multidimensional conservation laws. However, most of the fundamental issues for shock reflection have not been understood. Therefore, it is important to establish the regularity of solutions to shock reflection in order to understand fully the phenomena of shock reflection. On the other hand, for a regular reflection configuration, the potential flow governs the exact behavior of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2500","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":"0804.2500","created_at":"2026-05-18T02:15:53.594392+00:00"},{"alias_kind":"arxiv_version","alias_value":"0804.2500v1","created_at":"2026-05-18T02:15:53.594392+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2500","created_at":"2026-05-18T02:15:53.594392+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4GQAQAI2GL6","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4GQAQAI2GL6JJMS","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4GQAQAI","created_at":"2026-05-18T12:25:58.018023+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/U4GQAQAI2GL6JJMSHXNMD3UAX6","json":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6.json","graph_json":"https://pith.science/api/pith-number/U4GQAQAI2GL6JJMSHXNMD3UAX6/graph.json","events_json":"https://pith.science/api/pith-number/U4GQAQAI2GL6JJMSHXNMD3UAX6/events.json","paper":"https://pith.science/paper/U4GQAQAI"},"agent_actions":{"view_html":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6","download_json":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6.json","view_paper":"https://pith.science/paper/U4GQAQAI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0804.2500&json=true","fetch_graph":"https://pith.science/api/pith-number/U4GQAQAI2GL6JJMSHXNMD3UAX6/graph.json","fetch_events":"https://pith.science/api/pith-number/U4GQAQAI2GL6JJMSHXNMD3UAX6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6/action/storage_attestation","attest_author":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6/action/author_attestation","sign_citation":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6/action/citation_signature","submit_replication":"https://pith.science/pith/U4GQAQAI2GL6JJMSHXNMD3UAX6/action/replication_record"}},"created_at":"2026-05-18T02:15:53.594392+00:00","updated_at":"2026-05-18T02:15:53.594392+00:00"}