{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JN3NU4PD42IZMYZSBXFVV5AZMM","short_pith_number":"pith:JN3NU4PD","schema_version":"1.0","canonical_sha256":"4b76da71e3e6919663320dcb5af419630327fca932372eb8a8bb081346a01261","source":{"kind":"arxiv","id":"1309.0379","version":1},"attestation_state":"computed","paper":{"title":"Front propagation in nonlinear parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Danielle Hilhorst, Eduard Feireisl, Hana Petzeltova, Peter Takac","submitted_at":"2013-09-02T12:33:26Z","abstract_excerpt":"We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in the Lebesgue space of integrable functions."},"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":"1309.0379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-02T12:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"edac37eb20ebc97ce1344d0bdb6ca8dfba51121eb0fef1ed12110e3b02b827d6","abstract_canon_sha256":"a118c6035337c89abfb570dee3c0967ae8ee1f8dafc0a59d548edb85808d7ef2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:29.555330Z","signature_b64":"lIyGdVTECQ6ssdD3p47848PzLuR8wlrI/hFhZzoFnuXGr3BZDMYjj0GLRWwLnvHq/zXhDI7rVyLq7jDL0RrOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b76da71e3e6919663320dcb5af419630327fca932372eb8a8bb081346a01261","last_reissued_at":"2026-05-18T00:44:29.554831Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:29.554831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Front propagation in nonlinear parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Danielle Hilhorst, Eduard Feireisl, Hana Petzeltova, Peter Takac","submitted_at":"2013-09-02T12:33:26Z","abstract_excerpt":"We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in the Lebesgue space of integrable functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0379","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":"1309.0379","created_at":"2026-05-18T00:44:29.554902+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.0379v1","created_at":"2026-05-18T00:44:29.554902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0379","created_at":"2026-05-18T00:44:29.554902+00:00"},{"alias_kind":"pith_short_12","alias_value":"JN3NU4PD42IZ","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JN3NU4PD42IZMYZS","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JN3NU4PD","created_at":"2026-05-18T12:27:49.015174+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/JN3NU4PD42IZMYZSBXFVV5AZMM","json":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM.json","graph_json":"https://pith.science/api/pith-number/JN3NU4PD42IZMYZSBXFVV5AZMM/graph.json","events_json":"https://pith.science/api/pith-number/JN3NU4PD42IZMYZSBXFVV5AZMM/events.json","paper":"https://pith.science/paper/JN3NU4PD"},"agent_actions":{"view_html":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM","download_json":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM.json","view_paper":"https://pith.science/paper/JN3NU4PD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.0379&json=true","fetch_graph":"https://pith.science/api/pith-number/JN3NU4PD42IZMYZSBXFVV5AZMM/graph.json","fetch_events":"https://pith.science/api/pith-number/JN3NU4PD42IZMYZSBXFVV5AZMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM/action/storage_attestation","attest_author":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM/action/author_attestation","sign_citation":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM/action/citation_signature","submit_replication":"https://pith.science/pith/JN3NU4PD42IZMYZSBXFVV5AZMM/action/replication_record"}},"created_at":"2026-05-18T00:44:29.554902+00:00","updated_at":"2026-05-18T00:44:29.554902+00:00"}