{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XEAF7DSG2DE5FOVGXTWZ4ZWQG6","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":"dfdcfc4ec2edd58c243e1dfcf4067051021ec9dfbc831567ddd1bfa30f0f7eb9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-24T17:37:15Z","title_canon_sha256":"802ebef1c8d82eb94259cea06b2be558c91d62c53773258a784006548639ec31"},"schema_version":"1.0","source":{"id":"2502.17359","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.17359","created_at":"2026-07-05T11:59:57Z"},{"alias_kind":"arxiv_version","alias_value":"2502.17359v2","created_at":"2026-07-05T11:59:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.17359","created_at":"2026-07-05T11:59:57Z"},{"alias_kind":"pith_short_12","alias_value":"XEAF7DSG2DE5","created_at":"2026-07-05T11:59:57Z"},{"alias_kind":"pith_short_16","alias_value":"XEAF7DSG2DE5FOVG","created_at":"2026-07-05T11:59:57Z"},{"alias_kind":"pith_short_8","alias_value":"XEAF7DSG","created_at":"2026-07-05T11:59:57Z"}],"graph_snapshots":[{"event_id":"sha256:275984836c4383946a440089d01db6cefd104ca9669305306db2a44e310528a6","target":"graph","created_at":"2026-07-05T11:59:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.17359/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper analyzes the time-dependent relationship between the mean and variance of travel time on a single corridor under rush hour like congestion patterns. To model this phenomenon, we apply the LWR ((Lighthill & Whitham, 1955), (Richards, 1956)) theory on a homogenous freeway with a discontinuous bottleneck at its downstream end, assuming a uni-modal demand profile with a stochastic peak. We establish conditions for typical counterclockwise hysteresis loops under these assumptions. It is demonstrated that shapes of the fundamental diagram which always produce a counterclockwise loop can b","authors_text":"Alexander Hammerl, Otto Anker Nielsen, Ravi Seshadri, Thomas Kj{\\ae}r Rasmussen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-24T17:37:15Z","title":"Travel Time Reliability in Stochastic Kinematic Flow Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.17359","kind":"arxiv","version":2},"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":"sha256:8c424eb7b75ea1b76683f578d9f7a6c46393414f524fba6325d3ca1adc02e37e","target":"record","created_at":"2026-07-05T11:59:57Z","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":"dfdcfc4ec2edd58c243e1dfcf4067051021ec9dfbc831567ddd1bfa30f0f7eb9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-02-24T17:37:15Z","title_canon_sha256":"802ebef1c8d82eb94259cea06b2be558c91d62c53773258a784006548639ec31"},"schema_version":"1.0","source":{"id":"2502.17359","kind":"arxiv","version":2}},"canonical_sha256":"b9005f8e46d0c9d2baa6bced9e66d037a44d6acf8d1a4fc8385fc81bda75ad85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9005f8e46d0c9d2baa6bced9e66d037a44d6acf8d1a4fc8385fc81bda75ad85","first_computed_at":"2026-07-05T11:59:57.797123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:57.797123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gmZDA1+PsV6ct+9yAtysEd5WNfXcwMOwHnQyqd+z05+Y9cRteiD60DEL8JHhjl+hKJpdFJu3RCStXu4fgT4xCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:57.797668Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.17359","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c424eb7b75ea1b76683f578d9f7a6c46393414f524fba6325d3ca1adc02e37e","sha256:275984836c4383946a440089d01db6cefd104ca9669305306db2a44e310528a6"],"state_sha256":"371aed53f461fa19b1fb035521dfff3cdbdd833a7ba59e5eb2483b8085dbc97f"}