{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JB6ZCUQEEB3F74GDAOMG36RRKJ","short_pith_number":"pith:JB6ZCUQE","schema_version":"1.0","canonical_sha256":"487d91520420765ff0c303986dfa31525e1ba507d8dae9cbf8316066eb1158e4","source":{"kind":"arxiv","id":"1809.03963","version":1},"attestation_state":"computed","paper":{"title":"Curved fronts in a shear flow: case of combustion nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Mohammad El Smaily","submitted_at":"2018-09-11T15:14:55Z","abstract_excerpt":"We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advection is through a shear flow $q$. This analyzes, for instance, the shape of flames produced by a Bunsen burner in the presence of advection. We also give a formula for the speed of propagation of these conical fronts in terms of the well-known speed of planar pulsating traveling waves."},"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":"1809.03963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-11T15:14:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"62d9f9e5180a1d6fb294c415c00d67ea4e082fe029d41e77e5297bf97ef83a2b","abstract_canon_sha256":"62b659584dcfd4db204efaa460578e1f17c60b60b8cb690e23232837aa01813b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:05.262561Z","signature_b64":"TZ0iWxYdJ3ON12FBhmd9MdunB5kXMkJFCB89B4Q+vE0TzB46vaMnACQWtKqkfC51ZtkChNrWnCXF0MGrvicgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"487d91520420765ff0c303986dfa31525e1ba507d8dae9cbf8316066eb1158e4","last_reissued_at":"2026-05-17T23:59:05.262158Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:05.262158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Curved fronts in a shear flow: case of combustion nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Mohammad El Smaily","submitted_at":"2018-09-11T15:14:55Z","abstract_excerpt":"We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advection is through a shear flow $q$. This analyzes, for instance, the shape of flames produced by a Bunsen burner in the presence of advection. We also give a formula for the speed of propagation of these conical fronts in terms of the well-known speed of planar pulsating traveling waves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03963","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":"1809.03963","created_at":"2026-05-17T23:59:05.262215+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.03963v1","created_at":"2026-05-17T23:59:05.262215+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03963","created_at":"2026-05-17T23:59:05.262215+00:00"},{"alias_kind":"pith_short_12","alias_value":"JB6ZCUQEEB3F","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"JB6ZCUQEEB3F74GD","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"JB6ZCUQE","created_at":"2026-05-18T12:32:31.084164+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/JB6ZCUQEEB3F74GDAOMG36RRKJ","json":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ.json","graph_json":"https://pith.science/api/pith-number/JB6ZCUQEEB3F74GDAOMG36RRKJ/graph.json","events_json":"https://pith.science/api/pith-number/JB6ZCUQEEB3F74GDAOMG36RRKJ/events.json","paper":"https://pith.science/paper/JB6ZCUQE"},"agent_actions":{"view_html":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ","download_json":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ.json","view_paper":"https://pith.science/paper/JB6ZCUQE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.03963&json=true","fetch_graph":"https://pith.science/api/pith-number/JB6ZCUQEEB3F74GDAOMG36RRKJ/graph.json","fetch_events":"https://pith.science/api/pith-number/JB6ZCUQEEB3F74GDAOMG36RRKJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ/action/storage_attestation","attest_author":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ/action/author_attestation","sign_citation":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ/action/citation_signature","submit_replication":"https://pith.science/pith/JB6ZCUQEEB3F74GDAOMG36RRKJ/action/replication_record"}},"created_at":"2026-05-17T23:59:05.262215+00:00","updated_at":"2026-05-17T23:59:05.262215+00:00"}