{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TZFKZSCN6CJZKMLJWM675J7TV6","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":"f098971ffeddcc66454d2e43a4098e2dd6eb1592659278fd3c8533151e58579c","cross_cats_sorted":["math.MP","nlin.AO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-08T11:40:21Z","title_canon_sha256":"d27531ea25c5babb743b0269045639d100cb6e50e612023f40748cc251211fba"},"schema_version":"1.0","source":{"id":"1108.1682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1682","created_at":"2026-05-18T04:16:00Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1682v1","created_at":"2026-05-18T04:16:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1682","created_at":"2026-05-18T04:16:00Z"},{"alias_kind":"pith_short_12","alias_value":"TZFKZSCN6CJZ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TZFKZSCN6CJZKMLJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TZFKZSCN","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:278d10f7c4f287caacf32fe2c17d9b09ec058aa491cc43ecde9922a848eec83d","target":"graph","created_at":"2026-05-18T04:16:00Z","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 present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at the individual pedestrian's level. We unify micro and macro in a single model, by working with general mass measures and their transport. We improve existing modelling by coupling a measure-theoretical framework with basic ideas of mixture theory formulated in terms of measures. This strategy allows us to define several constituents of the crowd, each having i","authors_text":"Joep Evers","cross_cats":["math.MP","nlin.AO","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-08T11:40:21Z","title":"Modelling Crowd Dynamics: a Multiscale, Measure-theoretical Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1682","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":"sha256:322809993eb3d8ef5ef7e1d24b18755f7984930d4a4e892da4b40b2bf8181b97","target":"record","created_at":"2026-05-18T04:16:00Z","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":"f098971ffeddcc66454d2e43a4098e2dd6eb1592659278fd3c8533151e58579c","cross_cats_sorted":["math.MP","nlin.AO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-08-08T11:40:21Z","title_canon_sha256":"d27531ea25c5babb743b0269045639d100cb6e50e612023f40748cc251211fba"},"schema_version":"1.0","source":{"id":"1108.1682","kind":"arxiv","version":1}},"canonical_sha256":"9e4aacc84df093953169b33dfea7f3afae06f3e6df3699c6c000bd2f275d70d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e4aacc84df093953169b33dfea7f3afae06f3e6df3699c6c000bd2f275d70d7","first_computed_at":"2026-05-18T04:16:00.314722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:00.314722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5WFv+0DONKRIu3tK6Onj8qkh5BGFa+L9rLv79lIUh9wniRnbdELfhXIAIEhqs5VlgwSEdgK0x3bJsNU4nRmSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:00.315433Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:322809993eb3d8ef5ef7e1d24b18755f7984930d4a4e892da4b40b2bf8181b97","sha256:278d10f7c4f287caacf32fe2c17d9b09ec058aa491cc43ecde9922a848eec83d"],"state_sha256":"cd4dc6f6bb85c13d0caef43656560cad141babba69cb32b80808485ff0394464"}