{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:IOEUZX55G7QOR4ZIOQ3CJRESYG","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":"13e621156ed33d7eebf4a6957bf4fe1104758da476b2b1bc508fce70802a077a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-10-10T13:27:09Z","title_canon_sha256":"d60b119776b93e4d43d203024c4ed62d6cbc23d2114ecd70e173725a8a3c8f83"},"schema_version":"1.0","source":{"id":"0810.1880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1880","created_at":"2026-06-03T23:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1880v1","created_at":"2026-06-03T23:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1880","created_at":"2026-06-03T23:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"IOEUZX55G7QO","created_at":"2026-06-03T23:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"IOEUZX55G7QOR4ZI","created_at":"2026-06-03T23:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"IOEUZX55","created_at":"2026-06-03T23:06:08Z"}],"graph_snapshots":[{"event_id":"sha256:d3ea985a1e86967c5ad0432bc34a3214a6593ba94d15e105d0c46d391185f543","target":"graph","created_at":"2026-06-03T23:06:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0810.1880/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a class of multidimensional conservation laws with vanishing nonlinear diffusion and dispersion terms. Under a condition on the relative size of the diffusion and dispersion coefficients, we establish that the diffusive-dispersive solutions are uniformly bounded in a space Lp ($p$ arbitrary large, depending on the nonlinearity of the diffusion) and converge to the classical, entropy solution of the corresponding multidimensional, hyperbolic conservation law. Previous results were restricted to one-dimensional equations and specific spaces Lp. Our proof is based on DiPerna's uniquen","authors_text":"Joaquim M. Correia, Philippe G. LeFloch","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-10-10T13:27:09Z","title":"Nonlinear diffusive-dispersive limits for multidimensional conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1880","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":"sha256:920329706e2a6d41e3534ce336fba8d40092a84453ab8eebfbaa85564825f36a","target":"record","created_at":"2026-06-03T23:06:08Z","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":"13e621156ed33d7eebf4a6957bf4fe1104758da476b2b1bc508fce70802a077a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-10-10T13:27:09Z","title_canon_sha256":"d60b119776b93e4d43d203024c4ed62d6cbc23d2114ecd70e173725a8a3c8f83"},"schema_version":"1.0","source":{"id":"0810.1880","kind":"arxiv","version":1}},"canonical_sha256":"43894cdfbd37e0e8f328743624c492c1947dd9a165a47f3ca29b7e89c570f074","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43894cdfbd37e0e8f328743624c492c1947dd9a165a47f3ca29b7e89c570f074","first_computed_at":"2026-06-03T23:06:08.036575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:08.036575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NWb1o0Abs3lty9ANxVSKUIPYssCAZ5OBawPRFdVJnylaANRfanCatzg3QS5M0PJZSyK/X/pWt2ZLZJ7Bi1XnAA==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:08.037077Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.1880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:920329706e2a6d41e3534ce336fba8d40092a84453ab8eebfbaa85564825f36a","sha256:d3ea985a1e86967c5ad0432bc34a3214a6593ba94d15e105d0c46d391185f543"],"state_sha256":"b13cad7e20d573a2855148f85a0dac49b07dfe256df3949c39b3597e8d26e671"}