{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LP74KTGC7HTLPYBKRF4TDKTWUU","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":"3d6bd21c480ccd353429c240e45a44acf93e1b45386e6107a5b83e555d74c23e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-27T08:23:03Z","title_canon_sha256":"c8e1300d47f574fced6f224b4ec9a8c0049b7252ad02d08a4debb7c84f581801"},"schema_version":"1.0","source":{"id":"1809.11106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.11106","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.11106v1","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.11106","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"LP74KTGC7HTL","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LP74KTGC7HTLPYBK","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LP74KTGC","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:0b12dbfadfff6313c0f8d44c09036c625e2bb517f21f27e8bc976187afe185a1","target":"graph","created_at":"2026-05-18T00:04:33Z","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":"The traffic modelling often keeps the mesoscopic scale in the theoretical sphere because the integro-differential nature of its equations. In the present work we suggest to use the lattice Boltzmann method to overcome these difficulties. In particular, the method has a strong theoretical foundation. An improved version of the lattice Boltzmann method for multi-class and heterogeneities, has been introduced here. Its ability to reproduce the fundamental diagram is proved here, for both single-class and multi-class flows. This allows easily simulating complex and realistic cases of mixture of mu","authors_text":"Guy Courbebaisse, Laurent Navarro, Romain No\\\"el","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-27T08:23:03Z","title":"Lattice Boltzmann Method for Heterogeneous Multi-class Traffic Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.11106","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":"sha256:8919d5ef59bf7082becaadda8f51bcb4632c2b52a41a6fd064dad5646b54d3d9","target":"record","created_at":"2026-05-18T00:04:33Z","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":"3d6bd21c480ccd353429c240e45a44acf93e1b45386e6107a5b83e555d74c23e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-09-27T08:23:03Z","title_canon_sha256":"c8e1300d47f574fced6f224b4ec9a8c0049b7252ad02d08a4debb7c84f581801"},"schema_version":"1.0","source":{"id":"1809.11106","kind":"arxiv","version":1}},"canonical_sha256":"5bffc54cc2f9e6b7e02a897931aa76a5337bcdc0b22929855be7809d88db1de7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bffc54cc2f9e6b7e02a897931aa76a5337bcdc0b22929855be7809d88db1de7","first_computed_at":"2026-05-18T00:04:33.274939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:33.274939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gl2IJqquwWyHKj2dj4ogKC3g2qFjHCggLjmqTaTyfRi0fN56Ch6nLwFF/2zH6X0X9vaFecU5ux5X96X1Z2XhBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:33.275640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.11106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8919d5ef59bf7082becaadda8f51bcb4632c2b52a41a6fd064dad5646b54d3d9","sha256:0b12dbfadfff6313c0f8d44c09036c625e2bb517f21f27e8bc976187afe185a1"],"state_sha256":"856d68f0cdc6d80069f7e1445848cf45a159dce8ccfec4119293e52f97ccb760"}