{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XVIQLUIJN4SYPKGTVN5I7DXAXN","short_pith_number":"pith:XVIQLUIJ","schema_version":"1.0","canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","source":{"kind":"arxiv","id":"1908.04681","version":1},"attestation_state":"computed","paper":{"title":"Rare-Event Properties of the Nagel-Schreckenberg Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.data-an","authors_text":"Alexander K. Hartmann, Wiebke Staffeldt","submitted_at":"2019-08-13T14:53:53Z","abstract_excerpt":"We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in probability, down to probabilities like $10^{-140}$. This allowed us to characterize the flow distribution over a large range of the support and identify the characteristics of rare and even very rare traffic situations. We observe a change of the distribution shape when increasing the density of cars from the free flow to the congestion phase. Furthermore, "},"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":"1908.04681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-08-13T14:53:53Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2bfbcee98b156ca2ad6f0a3d06430dbd67a154d88cc49b33721bcd647b1f88b8","abstract_canon_sha256":"8f96ce9b77f66c8a62e3f6f11c52ac9c7334b8b2a662b9b2c5a0fc735997bf48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:25:13.515662Z","signature_b64":"6YFbHEgVUrvRh8gYoA+rNBBfyjqQRriPgL/pwgbS0iGc2g9u8+sc1eM42Xq/wMpeNhp2uhQaAH2DZDaeg7qwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","last_reissued_at":"2026-07-05T00:25:13.515209Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:25:13.515209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rare-Event Properties of the Nagel-Schreckenberg Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.data-an","authors_text":"Alexander K. Hartmann, Wiebke Staffeldt","submitted_at":"2019-08-13T14:53:53Z","abstract_excerpt":"We have studied the distribution of traffic flow $q$ for the Nagel-Schreckenberg model by computer simulations. We applied a large-deviation approach, which allowed us to obtain the distribution $P(q)$ over more than one hundred decades in probability, down to probabilities like $10^{-140}$. This allowed us to characterize the flow distribution over a large range of the support and identify the characteristics of rare and even very rare traffic situations. We observe a change of the distribution shape when increasing the density of cars from the free flow to the congestion phase. Furthermore, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04681","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04681/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.04681","created_at":"2026-07-05T00:25:13.515274+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.04681v1","created_at":"2026-07-05T00:25:13.515274+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04681","created_at":"2026-07-05T00:25:13.515274+00:00"},{"alias_kind":"pith_short_12","alias_value":"XVIQLUIJN4SY","created_at":"2026-07-05T00:25:13.515274+00:00"},{"alias_kind":"pith_short_16","alias_value":"XVIQLUIJN4SYPKGT","created_at":"2026-07-05T00:25:13.515274+00:00"},{"alias_kind":"pith_short_8","alias_value":"XVIQLUIJ","created_at":"2026-07-05T00:25:13.515274+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/XVIQLUIJN4SYPKGTVN5I7DXAXN","json":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN.json","graph_json":"https://pith.science/api/pith-number/XVIQLUIJN4SYPKGTVN5I7DXAXN/graph.json","events_json":"https://pith.science/api/pith-number/XVIQLUIJN4SYPKGTVN5I7DXAXN/events.json","paper":"https://pith.science/paper/XVIQLUIJ"},"agent_actions":{"view_html":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN","download_json":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN.json","view_paper":"https://pith.science/paper/XVIQLUIJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.04681&json=true","fetch_graph":"https://pith.science/api/pith-number/XVIQLUIJN4SYPKGTVN5I7DXAXN/graph.json","fetch_events":"https://pith.science/api/pith-number/XVIQLUIJN4SYPKGTVN5I7DXAXN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/action/storage_attestation","attest_author":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/action/author_attestation","sign_citation":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/action/citation_signature","submit_replication":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/action/replication_record"}},"created_at":"2026-07-05T00:25:13.515274+00:00","updated_at":"2026-07-05T00:25:13.515274+00:00"}