{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XVIQLUIJN4SYPKGTVN5I7DXAXN","short_pith_number":"pith:XVIQLUIJ","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"},"canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","source":{"kind":"arxiv","id":"1908.04681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04681","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04681v1","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04681","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_12","alias_value":"XVIQLUIJN4SY","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_16","alias_value":"XVIQLUIJN4SYPKGT","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_8","alias_value":"XVIQLUIJ","created_at":"2026-07-05T00:25:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XVIQLUIJN4SYPKGTVN5I7DXAXN","target":"record","payload":{"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"},"canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","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"},"source_kind":"arxiv","source_id":"1908.04681","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:25:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7xog6J9faA1btN89AIw+sYgmCXqssEwd/8HBHOpeOyXoHHQK45aUlvFB9juy9CrdADCeSngNxbplIeeEB2bUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:33:03.182490Z"},"content_sha256":"ec612e38a3a7932e6e166ffb60b9306adf227a8245be2425178873f326d02022","schema_version":"1.0","event_id":"sha256:ec612e38a3a7932e6e166ffb60b9306adf227a8245be2425178873f326d02022"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XVIQLUIJN4SYPKGTVN5I7DXAXN","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:25:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xr9JDSLlQukVYy67fXiSTrE16DebPyoDpTFshMGOnTEQKe9yocskyndGCNgYaebhoTqAf2e0Sud85FahctnaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T15:33:03.183654Z"},"content_sha256":"049219cf8e2c3a8ca822c81f0b0d069d08731902a5f94ed8bb12bdea9a13db17","schema_version":"1.0","event_id":"sha256:049219cf8e2c3a8ca822c81f0b0d069d08731902a5f94ed8bb12bdea9a13db17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/bundle.json","state_url":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T15:33:03Z","links":{"resolver":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN","bundle":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/bundle.json","state":"https://pith.science/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVIQLUIJN4SYPKGTVN5I7DXAXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XVIQLUIJN4SYPKGTVN5I7DXAXN","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":"8f96ce9b77f66c8a62e3f6f11c52ac9c7334b8b2a662b9b2c5a0fc735997bf48","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-08-13T14:53:53Z","title_canon_sha256":"2bfbcee98b156ca2ad6f0a3d06430dbd67a154d88cc49b33721bcd647b1f88b8"},"schema_version":"1.0","source":{"id":"1908.04681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04681","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04681v1","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04681","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_12","alias_value":"XVIQLUIJN4SY","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_16","alias_value":"XVIQLUIJN4SYPKGT","created_at":"2026-07-05T00:25:13Z"},{"alias_kind":"pith_short_8","alias_value":"XVIQLUIJ","created_at":"2026-07-05T00:25:13Z"}],"graph_snapshots":[{"event_id":"sha256:049219cf8e2c3a8ca822c81f0b0d069d08731902a5f94ed8bb12bdea9a13db17","target":"graph","created_at":"2026-07-05T00:25:13Z","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/1908.04681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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, ","authors_text":"Alexander K. Hartmann, Wiebke Staffeldt","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-08-13T14:53:53Z","title":"Rare-Event Properties of the Nagel-Schreckenberg Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04681","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:ec612e38a3a7932e6e166ffb60b9306adf227a8245be2425178873f326d02022","target":"record","created_at":"2026-07-05T00:25:13Z","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":"8f96ce9b77f66c8a62e3f6f11c52ac9c7334b8b2a662b9b2c5a0fc735997bf48","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-08-13T14:53:53Z","title_canon_sha256":"2bfbcee98b156ca2ad6f0a3d06430dbd67a154d88cc49b33721bcd647b1f88b8"},"schema_version":"1.0","source":{"id":"1908.04681","kind":"arxiv","version":1}},"canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd5105d1096f2587a8d3ab7a8f8ee0bb589f917553745f1ae8b8620e1f41b8fe","first_computed_at":"2026-07-05T00:25:13.515209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:25:13.515209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6YFbHEgVUrvRh8gYoA+rNBBfyjqQRriPgL/pwgbS0iGc2g9u8+sc1eM42Xq/wMpeNhp2uhQaAH2DZDaeg7qwBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:25:13.515662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec612e38a3a7932e6e166ffb60b9306adf227a8245be2425178873f326d02022","sha256:049219cf8e2c3a8ca822c81f0b0d069d08731902a5f94ed8bb12bdea9a13db17"],"state_sha256":"a0306bad035ff1755a3de9b3995cf882b432d359c8fdbe5dfcb218c15ed5fe25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kW1kpoVc1UB/4iQZIsS9S4oDHyNPEZEoONNMAD2/X9u83kfUIlpYl055+QipGXg2r2u/9NtiIzqUjZAFHcgHBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T15:33:03.205315Z","bundle_sha256":"c6b3835a19b792811c2a16948beec06d004bccef57f2f71d3097bff3c50b7556"}}