{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L67HDTYDD5PF2LNJVHEQ5JW4HJ","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":"30aa6c6837bb21cecf5e119ff593405ce9ad378264ee74b512f337c44f35617c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-06T19:22:26Z","title_canon_sha256":"acf187fd5f02a9b51eca523166e05451881679639a24c06c831019062c94164e"},"schema_version":"1.0","source":{"id":"1304.1927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1927","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1927v1","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1927","created_at":"2026-05-18T00:34:53Z"},{"alias_kind":"pith_short_12","alias_value":"L67HDTYDD5PF","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L67HDTYDD5PF2LNJ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L67HDTYD","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:5318beff3ec62c320a390cdd6a91648b3938d4546508a939b06807cc94525c4b","target":"graph","created_at":"2026-05-18T00:34:53Z","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":"We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians are supposed to have constant speeds. This IBM supposes that the pedestrians seek the best compromise between navigation towards their target and collisions avoidance. We first propose a kinetic model for the probability distribution function of the pedestrians. Then, we derive fluid models and propose three different closure relations. The first two closures assume that the velocity distribution functions are either","authors_text":"C\\'ecile Appert-Rolland (LPT), Guy Theraulaz (CRCA), Julien Pettr\\'e (INRIA - IRISA), Mehdi Moussaid, Pierre Degond (IMT)","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-06T19:22:26Z","title":"A hierarchy of heuristic-based models of crowd dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1927","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":"sha256:782ce769bca0ffbe9b7724fdf20e7bce222b12e267fc2878856a5f028d352b75","target":"record","created_at":"2026-05-18T00:34:53Z","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":"30aa6c6837bb21cecf5e119ff593405ce9ad378264ee74b512f337c44f35617c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-06T19:22:26Z","title_canon_sha256":"acf187fd5f02a9b51eca523166e05451881679639a24c06c831019062c94164e"},"schema_version":"1.0","source":{"id":"1304.1927","kind":"arxiv","version":1}},"canonical_sha256":"5fbe71cf031f5e5d2da9a9c90ea6dc3a5436b6c21511cae8c83d7636e51ed99e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fbe71cf031f5e5d2da9a9c90ea6dc3a5436b6c21511cae8c83d7636e51ed99e","first_computed_at":"2026-05-18T00:34:53.195873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:53.195873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKox6ThC6d/NcRtHb1N4BrwuUhagWy3YVwhfQuwDjesEqUKOPHiOIeVKOkayTbtSrr1tSXXRimvQKgR+7Om9AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:53.196556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:782ce769bca0ffbe9b7724fdf20e7bce222b12e267fc2878856a5f028d352b75","sha256:5318beff3ec62c320a390cdd6a91648b3938d4546508a939b06807cc94525c4b"],"state_sha256":"0720a6058b7eec6907c703658af3cd13e2e8d6197603d95bfadd3b21da5ea777"}