{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MKN6UBSPAY6ZRKEHIR2TUCNZGA","short_pith_number":"pith:MKN6UBSP","schema_version":"1.0","canonical_sha256":"629bea064f063d98a88744753a09b9301a0f2a8070f75f836ebf30d2055604f2","source":{"kind":"arxiv","id":"1201.4920","version":1},"attestation_state":"computed","paper":{"title":"Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexe\\\"i Novikov, Jean-Michel Roquejoffre, L\\'eonard Monsaingeon","submitted_at":"2012-01-24T07:55:11Z","abstract_excerpt":"We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such solutions exist at least for propagation speeds c {\\in}]c*, +{\\infty}, where c* > 0 is explicitly computed but may not be optimal. We also prove that a free boundary hy- persurface separates a region where u = 0 and a region where u > 0, and that this free boundary can be globally parametrized as a Lipschitz continuous graph under some additional non-degeneracy hypothesis; we investigate solutions which are, in the reg"},"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":"1201.4920","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-24T07:55:11Z","cross_cats_sorted":[],"title_canon_sha256":"d317d7ea56b62cd53720570149caf24b8056158a4774ad5b91080f76fe4a2653","abstract_canon_sha256":"2fee86017dba4f58e96feb2e6043e17adb85e6e52bce40b4f4371bf78efd3e4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:02.619877Z","signature_b64":"6vOJkfm/CVi++M63GyNHOdUhPKQYXlOqp/LMuD+PENeF96BXFM9yfILhX9RUnc/NmmK114V14Ocy+OQ4siZVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"629bea064f063d98a88744753a09b9301a0f2a8070f75f836ebf30d2055604f2","last_reissued_at":"2026-05-18T02:31:02.619342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:02.619342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Traveling Wave Solutions of Advection-Diffusion Equations with Nonlinear Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexe\\\"i Novikov, Jean-Michel Roquejoffre, L\\'eonard Monsaingeon","submitted_at":"2012-01-24T07:55:11Z","abstract_excerpt":"We study the existence of particular traveling wave solutions of a nonlinear parabolic degenerate diffusion equation with a shear flow. Under some assumptions we prove that such solutions exist at least for propagation speeds c {\\in}]c*, +{\\infty}, where c* > 0 is explicitly computed but may not be optimal. We also prove that a free boundary hy- persurface separates a region where u = 0 and a region where u > 0, and that this free boundary can be globally parametrized as a Lipschitz continuous graph under some additional non-degeneracy hypothesis; we investigate solutions which are, in the reg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4920","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":"1201.4920","created_at":"2026-05-18T02:31:02.619421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.4920v1","created_at":"2026-05-18T02:31:02.619421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4920","created_at":"2026-05-18T02:31:02.619421+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKN6UBSPAY6Z","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKN6UBSPAY6ZRKEH","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKN6UBSP","created_at":"2026-05-18T12:27:14.488303+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/MKN6UBSPAY6ZRKEHIR2TUCNZGA","json":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA.json","graph_json":"https://pith.science/api/pith-number/MKN6UBSPAY6ZRKEHIR2TUCNZGA/graph.json","events_json":"https://pith.science/api/pith-number/MKN6UBSPAY6ZRKEHIR2TUCNZGA/events.json","paper":"https://pith.science/paper/MKN6UBSP"},"agent_actions":{"view_html":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA","download_json":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA.json","view_paper":"https://pith.science/paper/MKN6UBSP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.4920&json=true","fetch_graph":"https://pith.science/api/pith-number/MKN6UBSPAY6ZRKEHIR2TUCNZGA/graph.json","fetch_events":"https://pith.science/api/pith-number/MKN6UBSPAY6ZRKEHIR2TUCNZGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA/action/storage_attestation","attest_author":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA/action/author_attestation","sign_citation":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA/action/citation_signature","submit_replication":"https://pith.science/pith/MKN6UBSPAY6ZRKEHIR2TUCNZGA/action/replication_record"}},"created_at":"2026-05-18T02:31:02.619421+00:00","updated_at":"2026-05-18T02:31:02.619421+00:00"}