{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:I57O4CIVAON5QFOPANM45TQ6JS","short_pith_number":"pith:I57O4CIV","schema_version":"1.0","canonical_sha256":"477eee0915039bd815cf0359cece1e4c941167cbe7017eb659dbcabc84bbb774","source":{"kind":"arxiv","id":"1412.7371","version":1},"attestation_state":"computed","paper":{"title":"Linearized Theory of Traffic Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Rohan Abeyaratne, Tal Cohen","submitted_at":"2014-12-20T01:41:40Z","abstract_excerpt":"The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena. Specifically, the scenarios examined involve a smooth velocity field in stop-and-go traffic, a discontinuous velocity field with shock waves in a traffic light problem, and discontinuous displacement fields in a problem where a single platoon of vehicles splits into two, and later merges back into one."},"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":"1412.7371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-20T01:41:40Z","cross_cats_sorted":[],"title_canon_sha256":"506058dbd7380902fe8ce9d7a3385b05be91740d80f52a7a86a96ec03e08361f","abstract_canon_sha256":"cc5d5784350d922691290b3214c639bc160ab35e2897b96333889af193c7f34f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:16.326255Z","signature_b64":"mkrDtiPX/0UaplBu+kYZF9gUBBULyps4xyWvhw9Oxto+a2yZHU/ebrCaF1ZDBBCYEKggdqaJsEvRXVgWPZ7mCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"477eee0915039bd815cf0359cece1e4c941167cbe7017eb659dbcabc84bbb774","last_reissued_at":"2026-05-18T02:19:16.325637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:16.325637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linearized Theory of Traffic Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Rohan Abeyaratne, Tal Cohen","submitted_at":"2014-12-20T01:41:40Z","abstract_excerpt":"The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena. Specifically, the scenarios examined involve a smooth velocity field in stop-and-go traffic, a discontinuous velocity field with shock waves in a traffic light problem, and discontinuous displacement fields in a problem where a single platoon of vehicles splits into two, and later merges back into one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7371","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":"1412.7371","created_at":"2026-05-18T02:19:16.325736+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.7371v1","created_at":"2026-05-18T02:19:16.325736+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7371","created_at":"2026-05-18T02:19:16.325736+00:00"},{"alias_kind":"pith_short_12","alias_value":"I57O4CIVAON5","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"I57O4CIVAON5QFOP","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"I57O4CIV","created_at":"2026-05-18T12:28:33.132498+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/I57O4CIVAON5QFOPANM45TQ6JS","json":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS.json","graph_json":"https://pith.science/api/pith-number/I57O4CIVAON5QFOPANM45TQ6JS/graph.json","events_json":"https://pith.science/api/pith-number/I57O4CIVAON5QFOPANM45TQ6JS/events.json","paper":"https://pith.science/paper/I57O4CIV"},"agent_actions":{"view_html":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS","download_json":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS.json","view_paper":"https://pith.science/paper/I57O4CIV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.7371&json=true","fetch_graph":"https://pith.science/api/pith-number/I57O4CIVAON5QFOPANM45TQ6JS/graph.json","fetch_events":"https://pith.science/api/pith-number/I57O4CIVAON5QFOPANM45TQ6JS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS/action/storage_attestation","attest_author":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS/action/author_attestation","sign_citation":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS/action/citation_signature","submit_replication":"https://pith.science/pith/I57O4CIVAON5QFOPANM45TQ6JS/action/replication_record"}},"created_at":"2026-05-18T02:19:16.325736+00:00","updated_at":"2026-05-18T02:19:16.325736+00:00"}