{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:55ZP7QDJKSOCCKM4ZTWWXDVEEP","short_pith_number":"pith:55ZP7QDJ","schema_version":"1.0","canonical_sha256":"ef72ffc069549c21299ccced6b8ea423f5dbde9fd33d80621efce91b34a4574c","source":{"kind":"arxiv","id":"1009.4950","version":1},"attestation_state":"computed","paper":{"title":"Analysis of kinematic waves arising in diverging traffic flow models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG"],"primary_cat":"math.DS","authors_text":"Wen-Long Jin","submitted_at":"2010-09-24T21:28:26Z","abstract_excerpt":"Diverging junctions are important network bottlenecks, and a better understanding of diverging traffic dynamics has both theoretical and practical implications. In this paper, we first introduce a continuous multi-commodity kinematic wave model of diverging traffic and then present a new framework for constructing kinematic wave solutions to its Riemann problem with jump initial conditions. In supply-demand space, the solutions on a link consist of an interior state and a stationary state, subject to admissible conditions such that there are no positive and negative kinematic waves on the upst"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.4950","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-09-24T21:28:26Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"ae000af38f1fac130181657d72658372c0ab19397cfb85c26c36cc1b3b2981ca","abstract_canon_sha256":"e254d33b038283c58e701d73b573c63cf3d1b23760b483996b091e097fd14cff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:19.705368Z","signature_b64":"dnpZi6Xye9nXHtODTliyve3BFDM/Uyu+eMMZEK5DZxbgyboXLT5X6ay1BPogAP+IDrRlSz102+jQeftO70N7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef72ffc069549c21299ccced6b8ea423f5dbde9fd33d80621efce91b34a4574c","last_reissued_at":"2026-05-18T04:40:19.704647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:19.704647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of kinematic waves arising in diverging traffic flow models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG"],"primary_cat":"math.DS","authors_text":"Wen-Long Jin","submitted_at":"2010-09-24T21:28:26Z","abstract_excerpt":"Diverging junctions are important network bottlenecks, and a better understanding of diverging traffic dynamics has both theoretical and practical implications. In this paper, we first introduce a continuous multi-commodity kinematic wave model of diverging traffic and then present a new framework for constructing kinematic wave solutions to its Riemann problem with jump initial conditions. In supply-demand space, the solutions on a link consist of an interior state and a stationary state, subject to admissible conditions such that there are no positive and negative kinematic waves on the upst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4950","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1009.4950","created_at":"2026-05-18T04:40:19.704760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.4950v1","created_at":"2026-05-18T04:40:19.704760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4950","created_at":"2026-05-18T04:40:19.704760+00:00"},{"alias_kind":"pith_short_12","alias_value":"55ZP7QDJKSOC","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"55ZP7QDJKSOCCKM4","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"55ZP7QDJ","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP","json":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP.json","graph_json":"https://pith.science/api/pith-number/55ZP7QDJKSOCCKM4ZTWWXDVEEP/graph.json","events_json":"https://pith.science/api/pith-number/55ZP7QDJKSOCCKM4ZTWWXDVEEP/events.json","paper":"https://pith.science/paper/55ZP7QDJ"},"agent_actions":{"view_html":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP","download_json":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP.json","view_paper":"https://pith.science/paper/55ZP7QDJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.4950&json=true","fetch_graph":"https://pith.science/api/pith-number/55ZP7QDJKSOCCKM4ZTWWXDVEEP/graph.json","fetch_events":"https://pith.science/api/pith-number/55ZP7QDJKSOCCKM4ZTWWXDVEEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP/action/storage_attestation","attest_author":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP/action/author_attestation","sign_citation":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP/action/citation_signature","submit_replication":"https://pith.science/pith/55ZP7QDJKSOCCKM4ZTWWXDVEEP/action/replication_record"}},"created_at":"2026-05-18T04:40:19.704760+00:00","updated_at":"2026-05-18T04:40:19.704760+00:00"}