{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3QOQN3I32W6EL3ZHSHBLZFITPN","short_pith_number":"pith:3QOQN3I3","schema_version":"1.0","canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","source":{"kind":"arxiv","id":"1704.08784","version":1},"attestation_state":"computed","paper":{"title":"Kinetic solutions for nonlocal scalar conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guangying Lv, Jinlong Wei, Jinqiao Duan","submitted_at":"2017-04-28T01:45:37Z","abstract_excerpt":"This work is devoted to examine the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super-critical diffusion operator. Our proof for uniqueness is based upon the analysis on a microscopic contraction functional and the existence is enabled by a parabolic approximation. As an illustration, we obtain the existence and uniqueness of kinetic solutions for the generalized fractional Burgers-Fisher type equations. Moreover, we demonstrate the kinetic solutions' Lipschitz continuity in time, and continuous dependence on nonlinearities and L\\'"},"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":"1704.08784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-28T01:45:37Z","cross_cats_sorted":[],"title_canon_sha256":"854cab5917c2ac1b38038fbaefc03b5efb590b9ee813f011af5c730e4f620864","abstract_canon_sha256":"e8837763fd0ca5aa8cb3c28f0adf9e1f8201b6153479a92891f769d67eaeb16c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:25.282183Z","signature_b64":"ltY032VgvZf6M64xKXGYRJz582+XJulVmpJL63HSZ9oiiG8rPw8PkYm4v+nK5RRBKOpZ+zYjIlU9VIfsOYsQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","last_reissued_at":"2026-05-18T00:45:25.281657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:25.281657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kinetic solutions for nonlocal scalar conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guangying Lv, Jinlong Wei, Jinqiao Duan","submitted_at":"2017-04-28T01:45:37Z","abstract_excerpt":"This work is devoted to examine the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super-critical diffusion operator. Our proof for uniqueness is based upon the analysis on a microscopic contraction functional and the existence is enabled by a parabolic approximation. As an illustration, we obtain the existence and uniqueness of kinetic solutions for the generalized fractional Burgers-Fisher type equations. Moreover, we demonstrate the kinetic solutions' Lipschitz continuity in time, and continuous dependence on nonlinearities and L\\'"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08784","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":"1704.08784","created_at":"2026-05-18T00:45:25.281745+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08784v1","created_at":"2026-05-18T00:45:25.281745+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08784","created_at":"2026-05-18T00:45:25.281745+00:00"},{"alias_kind":"pith_short_12","alias_value":"3QOQN3I32W6E","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3QOQN3I32W6EL3ZH","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3QOQN3I3","created_at":"2026-05-18T12:30:58.224056+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/3QOQN3I32W6EL3ZHSHBLZFITPN","json":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN.json","graph_json":"https://pith.science/api/pith-number/3QOQN3I32W6EL3ZHSHBLZFITPN/graph.json","events_json":"https://pith.science/api/pith-number/3QOQN3I32W6EL3ZHSHBLZFITPN/events.json","paper":"https://pith.science/paper/3QOQN3I3"},"agent_actions":{"view_html":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN","download_json":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN.json","view_paper":"https://pith.science/paper/3QOQN3I3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08784&json=true","fetch_graph":"https://pith.science/api/pith-number/3QOQN3I32W6EL3ZHSHBLZFITPN/graph.json","fetch_events":"https://pith.science/api/pith-number/3QOQN3I32W6EL3ZHSHBLZFITPN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/action/storage_attestation","attest_author":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/action/author_attestation","sign_citation":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/action/citation_signature","submit_replication":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/action/replication_record"}},"created_at":"2026-05-18T00:45:25.281745+00:00","updated_at":"2026-05-18T00:45:25.281745+00:00"}