{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:64N3X5XD2FPCRPIGUFEFMM4B2E","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":"7c7e613bcad3517a45ff5006dbb3ba9bb8d0ae64c31dd687abe5354584e2ee24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-02T14:58:40Z","title_canon_sha256":"8ead50b511a050a8237a41ae696a17def45b7d162229c0c6a970794f3326b562"},"schema_version":"1.0","source":{"id":"1108.0590","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0590","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0590v3","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0590","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"64N3X5XD2FPC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"64N3X5XD2FPCRPIG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"64N3X5XD","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:64716c5692720fdbaacb29550cc03b38f977bfc4a9982b03a527dce498249518","target":"graph","created_at":"2026-05-18T03:49:19Z","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":"In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density and is derived through a singular limit of the Aw-Rascle model. In the present paper we propose an improvement of this model by allowing the road to be multi-lane piecewise. The idea is to use the maximal constraint to modelize the number of lanes. We also add in the model a parameter {\\alpha} which modelize the various speed limitations according to the numbe","authors_text":"Damien Broizat, Florent Berthelin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-02T14:58:40Z","title":"A model for the evolution of traffic jams in multi-lane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0590","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":"sha256:0881cafefc5e2bf55218e6104f8e9574cec93f7c65c97e6513b73ccb51212088","target":"record","created_at":"2026-05-18T03:49:19Z","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":"7c7e613bcad3517a45ff5006dbb3ba9bb8d0ae64c31dd687abe5354584e2ee24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-02T14:58:40Z","title_canon_sha256":"8ead50b511a050a8237a41ae696a17def45b7d162229c0c6a970794f3326b562"},"schema_version":"1.0","source":{"id":"1108.0590","kind":"arxiv","version":3}},"canonical_sha256":"f71bbbf6e3d15e28bd06a148563381d1381e3c1937e344553885f2e737675239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f71bbbf6e3d15e28bd06a148563381d1381e3c1937e344553885f2e737675239","first_computed_at":"2026-05-18T03:49:19.953098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:19.953098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8lv/24TICDx5pSl149t4DVcTm0gl8pGFMr6TZxneebymI+SToHanC9EdXJ2l4jW/JGKdds8SUsoKkz3EPzDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:19.953790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0590","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0881cafefc5e2bf55218e6104f8e9574cec93f7c65c97e6513b73ccb51212088","sha256:64716c5692720fdbaacb29550cc03b38f977bfc4a9982b03a527dce498249518"],"state_sha256":"eaed059765afbeb233158ec6c3512e819b9a859c0634359655b6d8fed0881d3a"}