{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2RXLBOWJKQ6KBAWQNXP25LDWI2","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":"05c75f05f0e0eb6bdb044a4468da62331aeb397f7c87d9166c9b6d2195e47e3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-30T10:39:28Z","title_canon_sha256":"9908086e5cb8d13e1cac8b9e81951686ba592c66b1c71d14db67b34865ee0635"},"schema_version":"1.0","source":{"id":"1412.0206","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0206","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0206v1","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0206","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"2RXLBOWJKQ6K","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2RXLBOWJKQ6KBAWQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2RXLBOWJ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:1b6a2b8d57003a77e9924da346fa27d876a48dcaed23d521f6cfe4a253a6dd35","target":"graph","created_at":"2026-05-18T02:32:28Z","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":"A continuum crowd flow model is reformulated in the Lagrangian coordinate system. The system has proven to give computational advantages over the traditional Eulerian coordinate system for (one-dimensional) road traffic flow. Our extension of the model and simulation method to (two-dimensional) crowd flow paves the way to explore whether the advantages also hold in two dimensions. This paper provides a first exploration and shows that a model and simulation method for two-dimensional crowd flow can be developed in the Lagrangian coordinate system and that is leads to promising results.","authors_text":"Femke van Wageningen-Kessels, Ludovic Leclercq, Serge P. Hoogendoorn, Winnie Daamen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-30T10:39:28Z","title":"The Lagrangian coordinate system and what it means for two-dimensional crowd flow models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0206","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":"sha256:84ef552f5c77ed3546bcc61d25f09fccd546d909a5791847018d90c218c27b97","target":"record","created_at":"2026-05-18T02:32:28Z","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":"05c75f05f0e0eb6bdb044a4468da62331aeb397f7c87d9166c9b6d2195e47e3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-30T10:39:28Z","title_canon_sha256":"9908086e5cb8d13e1cac8b9e81951686ba592c66b1c71d14db67b34865ee0635"},"schema_version":"1.0","source":{"id":"1412.0206","kind":"arxiv","version":1}},"canonical_sha256":"d46eb0bac9543ca082d06ddfaeac7646840121efc9d5ca12dfd4f65df2cc1a5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d46eb0bac9543ca082d06ddfaeac7646840121efc9d5ca12dfd4f65df2cc1a5b","first_computed_at":"2026-05-18T02:32:28.253390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:28.253390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPgTm6ssHbE2VGPNgyb0O6lFqC8Z/XwRzg/+hws+fm6mqkVkautq8ve/7kG1SbwynDDuqtk+mxf4xguQWak6Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:28.253737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84ef552f5c77ed3546bcc61d25f09fccd546d909a5791847018d90c218c27b97","sha256:1b6a2b8d57003a77e9924da346fa27d876a48dcaed23d521f6cfe4a253a6dd35"],"state_sha256":"7d52a3a461695698ad4ab6880f3bd7b0989332e1204b1e46e1b1a2c74bcb631e"}