{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6D2CJI4UZILQLWVRJR6JLPA67Y","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":"d0ab456292d4e7f56835108e5fd074236f3136d6f89e6fe9d8377c18549971cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-23T13:21:46Z","title_canon_sha256":"9c8afaba53c16246c038d6148a9b3d4e5909dcb6f8da94a5b1ba016f7532078c"},"schema_version":"1.0","source":{"id":"1304.6282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6282","created_at":"2026-05-18T03:27:21Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6282v1","created_at":"2026-05-18T03:27:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6282","created_at":"2026-05-18T03:27:21Z"},{"alias_kind":"pith_short_12","alias_value":"6D2CJI4UZILQ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6D2CJI4UZILQLWVR","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6D2CJI4U","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:f2bc001db190b1d802acaf9e09a317d3c2fe4c0187e11feec0579f6c38b9f196","target":"graph","created_at":"2026-05-18T03:27:21Z","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":"In this paper we model pedestrian flows evacuating a narrow corridor through an exit by a one-dimensional hyperbolic conservation law with a non-local constraint. Existence and stability results for the Cauchy problem with Lipschitz constraint are achieved by a procedure that combines the wave-front tracking algorithm with the operator splitting method. The Riemann problem with piecewise constant constraint is discussed in details, stressing the possible lack of uniqueness, self-similarity and $\\Lloc1$-continuity. One explicit example of application is provided.","authors_text":"Boris Andreianov (LM-Besan\\c{c}on), Carlotta Donadello (LM-Besan\\c{c}on), Massimiliano D. Rosini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-23T13:21:46Z","title":"Crowd dynamics and conservation laws with non-local constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6282","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:ec79233ebbb01928797eeadbc14793cd6d85e9abd191abdf6d5aab3bbe1fb0c4","target":"record","created_at":"2026-05-18T03:27:21Z","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":"d0ab456292d4e7f56835108e5fd074236f3136d6f89e6fe9d8377c18549971cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-23T13:21:46Z","title_canon_sha256":"9c8afaba53c16246c038d6148a9b3d4e5909dcb6f8da94a5b1ba016f7532078c"},"schema_version":"1.0","source":{"id":"1304.6282","kind":"arxiv","version":1}},"canonical_sha256":"f0f424a394ca1705dab14c7c95bc1efe2b6dbedbaffbd63c070e008cdb193335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0f424a394ca1705dab14c7c95bc1efe2b6dbedbaffbd63c070e008cdb193335","first_computed_at":"2026-05-18T03:27:21.912279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:21.912279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5NvmVbPXPJrbzoJSfgYDwLvLvOx2DWfEd2gB3D0O3N/XpU8me+MDeP3LGh/E17eMEsWT1mfrm+aPiJnasAZjCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:21.912917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec79233ebbb01928797eeadbc14793cd6d85e9abd191abdf6d5aab3bbe1fb0c4","sha256:f2bc001db190b1d802acaf9e09a317d3c2fe4c0187e11feec0579f6c38b9f196"],"state_sha256":"57f0eb34285ab22d521e6031c84c71fea99b0793d846a4a42f13512981d256bd"}