{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3QOQN3I32W6EL3ZHSHBLZFITPN","short_pith_number":"pith:3QOQN3I3","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"},"canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","source":{"kind":"arxiv","id":"1704.08784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08784","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08784v1","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08784","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"pith_short_12","alias_value":"3QOQN3I32W6E","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3QOQN3I32W6EL3ZH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3QOQN3I3","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3QOQN3I32W6EL3ZHSHBLZFITPN","target":"record","payload":{"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"},"canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","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"},"source_kind":"arxiv","source_id":"1704.08784","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SREl5X9dJwSi0IkKwBWHyS09X0jhI9N9tVUzra4/c4+nMMyvsYiGtz0d9GMe4btnuomL7I0wCYx9hJsTfGwEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:04:09.839632Z"},"content_sha256":"c12dcfb9c33c0a7efe58ae3dee4f0d8096b6e578faecb7275bddf2015c89abdc","schema_version":"1.0","event_id":"sha256:c12dcfb9c33c0a7efe58ae3dee4f0d8096b6e578faecb7275bddf2015c89abdc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3QOQN3I32W6EL3ZHSHBLZFITPN","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"17BPsIhCsMgXgyRSu7cnM2yf0wTv+a6Jsd7o+lwlP61o/PrO1kECumJXNO5r/HoCEmgJs6Xjj7RbHPoqv0d7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:04:09.839974Z"},"content_sha256":"2f3d3ecad31d06fa57906172713f8cc8a0ccaa9702212b527891ffd564d6bfb7","schema_version":"1.0","event_id":"sha256:2f3d3ecad31d06fa57906172713f8cc8a0ccaa9702212b527891ffd564d6bfb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/bundle.json","state_url":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T16:04:09Z","links":{"resolver":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN","bundle":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/bundle.json","state":"https://pith.science/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3QOQN3I32W6EL3ZHSHBLZFITPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3QOQN3I32W6EL3ZHSHBLZFITPN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e8837763fd0ca5aa8cb3c28f0adf9e1f8201b6153479a92891f769d67eaeb16c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-28T01:45:37Z","title_canon_sha256":"854cab5917c2ac1b38038fbaefc03b5efb590b9ee813f011af5c730e4f620864"},"schema_version":"1.0","source":{"id":"1704.08784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08784","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08784v1","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08784","created_at":"2026-05-18T00:45:25Z"},{"alias_kind":"pith_short_12","alias_value":"3QOQN3I32W6E","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3QOQN3I32W6EL3ZH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3QOQN3I3","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:2f3d3ecad31d06fa57906172713f8cc8a0ccaa9702212b527891ffd564d6bfb7","target":"graph","created_at":"2026-05-18T00:45:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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\\'","authors_text":"Guangying Lv, Jinlong Wei, Jinqiao Duan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-28T01:45:37Z","title":"Kinetic solutions for nonlocal scalar conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08784","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c12dcfb9c33c0a7efe58ae3dee4f0d8096b6e578faecb7275bddf2015c89abdc","target":"record","created_at":"2026-05-18T00:45:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e8837763fd0ca5aa8cb3c28f0adf9e1f8201b6153479a92891f769d67eaeb16c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-28T01:45:37Z","title_canon_sha256":"854cab5917c2ac1b38038fbaefc03b5efb590b9ee813f011af5c730e4f620864"},"schema_version":"1.0","source":{"id":"1704.08784","kind":"arxiv","version":1}},"canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc1d06ed1bd5bc45ef2791c2bc95137b4097f83538a50e69d7c022cfa5dd3bc1","first_computed_at":"2026-05-18T00:45:25.281657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:25.281657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ltY032VgvZf6M64xKXGYRJz582+XJulVmpJL63HSZ9oiiG8rPw8PkYm4v+nK5RRBKOpZ+zYjIlU9VIfsOYsQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:25.282183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c12dcfb9c33c0a7efe58ae3dee4f0d8096b6e578faecb7275bddf2015c89abdc","sha256:2f3d3ecad31d06fa57906172713f8cc8a0ccaa9702212b527891ffd564d6bfb7"],"state_sha256":"fe2996861caf04bb725499b816803965c294363d4eae13a26f250c55bf29e03d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZCKWsYIVSiXSmZ6pJQ7di1/LCI4Xm+6Kl2Tr7PYBucbWPTMjNesC1h2vL1vY6OcJ82RKYmuGEXNQlfdsCLU+AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:04:09.841986Z","bundle_sha256":"8aecc1dc9066927f53dff09e6d448d9371b1ab11921da6765274e816c741337c"}}