{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OCXDMX4RXAP4KMFQNUNSRNRG6B","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":"f5d16ed8577544ae98937462d9a96c964b768e5fcc16b0d0d1d08df2b4058995","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-06-16T23:40:49Z","title_canon_sha256":"90054fc0c517dcc7672cc41f7dd25917f27ebf74d1c5bf160814644a5dddc59a"},"schema_version":"1.0","source":{"id":"2506.14059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.14059","created_at":"2026-07-05T11:22:48Z"},{"alias_kind":"arxiv_version","alias_value":"2506.14059v1","created_at":"2026-07-05T11:22:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14059","created_at":"2026-07-05T11:22:48Z"},{"alias_kind":"pith_short_12","alias_value":"OCXDMX4RXAP4","created_at":"2026-07-05T11:22:48Z"},{"alias_kind":"pith_short_16","alias_value":"OCXDMX4RXAP4KMFQ","created_at":"2026-07-05T11:22:48Z"},{"alias_kind":"pith_short_8","alias_value":"OCXDMX4R","created_at":"2026-07-05T11:22:48Z"}],"graph_snapshots":[{"event_id":"sha256:7b5679981386cb5a42d3c7b859723dff4d758eebaa67140f0d90116466e21a43","target":"graph","created_at":"2026-07-05T11:22:48Z","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/2506.14059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article develops a stochastic differential equation (SDE) for modeling the temporal evolution of queue length dynamics at signalized intersections. Inspired by the observed quasiperiodic and self-similar characteristics of the queue length dynamics, the proposed model incorporates three properties into the SDE: (i) mean reversion with periodic mean, (ii) multiplicative noise, and (iii) fractional Brownian motion. It replicates key statistical features observed in real data, including the probability distribution function (PDF) and PSD of queue lengths. To our knowledge, this is the first ","authors_text":"Arvind Singh, Shakib Mustavee, Shaurya Agarwal","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-06-16T23:40:49Z","title":"A Stochastic Differential Equation Framework for Modeling Queue Length Dynamics Inspired by Self-Similarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14059","kind":"arxiv","version":1},"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":"sha256:0984281d2413ec16ce52675f9d4021be7e65ac5252f5276c373b521f347c3fc5","target":"record","created_at":"2026-07-05T11:22:48Z","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":"f5d16ed8577544ae98937462d9a96c964b768e5fcc16b0d0d1d08df2b4058995","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2025-06-16T23:40:49Z","title_canon_sha256":"90054fc0c517dcc7672cc41f7dd25917f27ebf74d1c5bf160814644a5dddc59a"},"schema_version":"1.0","source":{"id":"2506.14059","kind":"arxiv","version":1}},"canonical_sha256":"70ae365f91b81fc530b06d1b28b626f0455166251d84fb4ce9621613cbd9c484","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70ae365f91b81fc530b06d1b28b626f0455166251d84fb4ce9621613cbd9c484","first_computed_at":"2026-07-05T11:22:48.304384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:22:48.304384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+4CVc2w3SGMp6K803H03Del8PRVKn9C5uvnDqx2lx2xyhVP33H8wjY8jdpOZuQkddkxst8nfPE+KAOhUH3LOAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:22:48.304972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.14059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0984281d2413ec16ce52675f9d4021be7e65ac5252f5276c373b521f347c3fc5","sha256:7b5679981386cb5a42d3c7b859723dff4d758eebaa67140f0d90116466e21a43"],"state_sha256":"cbe1b8f0474061b66cae4310fd6ca2425b280c6a85f0900cb0fdd30aa8db66a0"}