{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LJI5PN4CNZ2ZEA4UWVAZP7RCLG","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":"6cf81757114f854929148f2bdec79bfd29411673af60bfe2edfea6e2a3dda4f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-09-16T18:59:35Z","title_canon_sha256":"883cc0ef4c609e8bfe41dc1244425e1d88af3137ba8606d491d649db222c4b48"},"schema_version":"1.0","source":{"id":"1509.04995","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04995","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04995v3","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04995","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"LJI5PN4CNZ2Z","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LJI5PN4CNZ2ZEA4U","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LJI5PN4C","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:e47ddbbfa1412f0030fe7494973c80bb2bf39c4b72a45441e19dc92429d29427","target":"graph","created_at":"2026-05-18T01:29:53Z","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 propose a macroscopic modeling framework for a network of roads and multi-commodity traffic. The proposed framework is based on the Lighthill-Whitham-Richards kinematic wave theory; more precisely, on its discretization, the Cell Transmission Model (CTM), adapted for networks and multi-commodity traffic. The resulting model is called the Link-Node CTM (LNCTM).\n  In the LNCTM, we use the fundamental diagram of an \"inverse lambda\" shape that allows modeling of the capacity drop and the hysteresis behavior of the traffic state in a link that goes from free flow to congestion and back.\n  A mode","authors_text":"Alex A. Kurzhanskiy, Gabriel Gomes, Matthew Wright, Roberto Horowitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-09-16T18:59:35Z","title":"A new model for multi-commodity macroscopic modeling of complex traffic networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04995","kind":"arxiv","version":3},"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":"sha256:3df184d3e96ddc774c9b45b47078143ad6f0c39a76417eeae4fd6604c7692f8b","target":"record","created_at":"2026-05-18T01:29:53Z","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":"6cf81757114f854929148f2bdec79bfd29411673af60bfe2edfea6e2a3dda4f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-09-16T18:59:35Z","title_canon_sha256":"883cc0ef4c609e8bfe41dc1244425e1d88af3137ba8606d491d649db222c4b48"},"schema_version":"1.0","source":{"id":"1509.04995","kind":"arxiv","version":3}},"canonical_sha256":"5a51d7b7826e75920394b54197fe2259a1fd11561e71bec0b0e948aeb96099fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a51d7b7826e75920394b54197fe2259a1fd11561e71bec0b0e948aeb96099fb","first_computed_at":"2026-05-18T01:29:53.668808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:53.668808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3/1rBy0kG8+KyBPHNIlTX95LwXZ8mdvz2SnAl+3ducbyVc769+kVPKfMwDmylC7onAryOnSy1f1NcKYRWvz8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:53.669282Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04995","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3df184d3e96ddc774c9b45b47078143ad6f0c39a76417eeae4fd6604c7692f8b","sha256:e47ddbbfa1412f0030fe7494973c80bb2bf39c4b72a45441e19dc92429d29427"],"state_sha256":"d53737846645e6931fc213f0c6b9a8bc574cee6b7c5e4a2a91191e45574550f2"}