{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:OF3EFRV2245LSMRTUVT2HDTS5G","short_pith_number":"pith:OF3EFRV2","canonical_record":{"source":{"id":"cond-mat/9711296","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-11-27T14:55:46Z","cross_cats_sorted":[],"title_canon_sha256":"c19b9d715fd78d2de6cd20fa3a0d372c02c053698ae553d10dc86083463bd509","abstract_canon_sha256":"ed8781cfe027cbaff04a552ca17e5e24a0db3ed3ae2b90e2ce33668061289fb6"},"schema_version":"1.0"},"canonical_sha256":"717642c6bad73ab93233a567a38e72e9ac068047b6db62d17b20920e92db30bf","source":{"kind":"arxiv","id":"cond-mat/9711296","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9711296","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9711296v1","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9711296","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"OF3EFRV2245L","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_16","alias_value":"OF3EFRV2245LSMRT","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_8","alias_value":"OF3EFRV2","created_at":"2026-07-04T14:22:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:OF3EFRV2245LSMRTUVT2HDTS5G","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9711296","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-11-27T14:55:46Z","cross_cats_sorted":[],"title_canon_sha256":"c19b9d715fd78d2de6cd20fa3a0d372c02c053698ae553d10dc86083463bd509","abstract_canon_sha256":"ed8781cfe027cbaff04a552ca17e5e24a0db3ed3ae2b90e2ce33668061289fb6"},"schema_version":"1.0"},"canonical_sha256":"717642c6bad73ab93233a567a38e72e9ac068047b6db62d17b20920e92db30bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:22:59.579692Z","signature_b64":"KMe7pEpI/+atVLWFEa2ypaEizlavvTMIqrMLnbPu/NIXCQLUGrWihy78yiQrHQwHUvu13Ac1wCqWycaqwV98AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"717642c6bad73ab93233a567a38e72e9ac068047b6db62d17b20920e92db30bf","last_reissued_at":"2026-07-04T14:22:59.579250Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:22:59.579250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9711296","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":"2026-07-04T14:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WoSItGslPgIl4KYetO4Zo8yQwOclhTUp56liwUifqLxAWTSuhoAB/o12omAzupRtT/5XzN/O4f3aI/BkCz0fCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T11:19:19.514382Z"},"content_sha256":"501bf7aa2d805304f5dac667e360c042effc6505098232b17fb348e664c16bf6","schema_version":"1.0","event_id":"sha256:501bf7aa2d805304f5dac667e360c042effc6505098232b17fb348e664c16bf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:OF3EFRV2245LSMRTUVT2HDTS5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical approaches to CA for traffic flow: Approximations and exact solutions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andreas Schadschneider","submitted_at":"1997-11-27T14:55:46Z","abstract_excerpt":"Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an analytical description of the Nagel-Schreckenberg (NaSch) model and its variants. These methods yield the exact solution for the special case $\\vm=1$ of the NaSch model and are good approximations for higher values of the velocity ($\\vm > 1$). We discuss the validity of these approximations and the conclusions for the underlying physics that can be drawn from the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9711296","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/cond-mat/9711296/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":"2026-07-04T14:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3X2MTO7WFh8yA0GPrh2rqnHrfF6CdZCQ9RJlNnFIZburm2Y1CqpyzpKk+x2y6whPYzy9Ety48s4KdTtvPgiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T11:19:19.514768Z"},"content_sha256":"b6006e603a0992af9ffbed8cd94aedb22b74640a98dc8786ab0cd6eaacfe75ab","schema_version":"1.0","event_id":"sha256:b6006e603a0992af9ffbed8cd94aedb22b74640a98dc8786ab0cd6eaacfe75ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OF3EFRV2245LSMRTUVT2HDTS5G/bundle.json","state_url":"https://pith.science/pith/OF3EFRV2245LSMRTUVT2HDTS5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OF3EFRV2245LSMRTUVT2HDTS5G/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":"2026-07-10T11:19:19Z","links":{"resolver":"https://pith.science/pith/OF3EFRV2245LSMRTUVT2HDTS5G","bundle":"https://pith.science/pith/OF3EFRV2245LSMRTUVT2HDTS5G/bundle.json","state":"https://pith.science/pith/OF3EFRV2245LSMRTUVT2HDTS5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OF3EFRV2245LSMRTUVT2HDTS5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:OF3EFRV2245LSMRTUVT2HDTS5G","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":"ed8781cfe027cbaff04a552ca17e5e24a0db3ed3ae2b90e2ce33668061289fb6","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-11-27T14:55:46Z","title_canon_sha256":"c19b9d715fd78d2de6cd20fa3a0d372c02c053698ae553d10dc86083463bd509"},"schema_version":"1.0","source":{"id":"cond-mat/9711296","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9711296","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9711296v1","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9711296","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"OF3EFRV2245L","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_16","alias_value":"OF3EFRV2245LSMRT","created_at":"2026-07-04T14:22:59Z"},{"alias_kind":"pith_short_8","alias_value":"OF3EFRV2","created_at":"2026-07-04T14:22:59Z"}],"graph_snapshots":[{"event_id":"sha256:b6006e603a0992af9ffbed8cd94aedb22b74640a98dc8786ab0cd6eaacfe75ab","target":"graph","created_at":"2026-07-04T14:22:59Z","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/cond-mat/9711296/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cellular automata have turned out to be important tools for the simulation of traffic flow. They are designed for an efficient impletmentation on the computer, but hard to treat analytically. Here we discuss several approaches for an analytical description of the Nagel-Schreckenberg (NaSch) model and its variants. These methods yield the exact solution for the special case $\\vm=1$ of the NaSch model and are good approximations for higher values of the velocity ($\\vm > 1$). We discuss the validity of these approximations and the conclusions for the underlying physics that can be drawn from the ","authors_text":"Andreas Schadschneider","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-11-27T14:55:46Z","title":"Analytical approaches to CA for traffic flow: Approximations and exact solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9711296","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":"sha256:501bf7aa2d805304f5dac667e360c042effc6505098232b17fb348e664c16bf6","target":"record","created_at":"2026-07-04T14:22:59Z","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":"ed8781cfe027cbaff04a552ca17e5e24a0db3ed3ae2b90e2ce33668061289fb6","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1997-11-27T14:55:46Z","title_canon_sha256":"c19b9d715fd78d2de6cd20fa3a0d372c02c053698ae553d10dc86083463bd509"},"schema_version":"1.0","source":{"id":"cond-mat/9711296","kind":"arxiv","version":1}},"canonical_sha256":"717642c6bad73ab93233a567a38e72e9ac068047b6db62d17b20920e92db30bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"717642c6bad73ab93233a567a38e72e9ac068047b6db62d17b20920e92db30bf","first_computed_at":"2026-07-04T14:22:59.579250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:22:59.579250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMe7pEpI/+atVLWFEa2ypaEizlavvTMIqrMLnbPu/NIXCQLUGrWihy78yiQrHQwHUvu13Ac1wCqWycaqwV98AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:22:59.579692Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9711296","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:501bf7aa2d805304f5dac667e360c042effc6505098232b17fb348e664c16bf6","sha256:b6006e603a0992af9ffbed8cd94aedb22b74640a98dc8786ab0cd6eaacfe75ab"],"state_sha256":"47f93361d50f4a1a90c9ce3a6523feea2bf103ed6cf9309cbe6a212c60d928e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+1yu9K3ZkK6pOTiZdYr0+oOClYAduEcqcz5qg4YwztH0yAM11LPJ6upLPVE+lwPkg9LxcG5eBgkRTiuiStPVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T11:19:19.516673Z","bundle_sha256":"f572d45eb84d0e5475e541db703033e3ae112ae9631ef27a3bd088ed4cf38d58"}}