{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AIK5KOX4SFDVBFVZ4QPJ4SMAUH","short_pith_number":"pith:AIK5KOX4","canonical_record":{"source":{"id":"1209.2361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-11T16:18:26Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"7f2ff3f2b159d95d1ca0cc7d174691e21b19365f8a2fc482d44bbd1e0e7d8bec","abstract_canon_sha256":"63c92c8be215bfb9956ea567365afea548eda75ffaf91ed1cefd07f86e33ff8e"},"schema_version":"1.0"},"canonical_sha256":"0215d53afc91475096b9e41e9e4980a1ccb94ce51d1eb876ee5b0601a301a7b3","source":{"kind":"arxiv","id":"1209.2361","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2361","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2361v2","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2361","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"AIK5KOX4SFDV","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AIK5KOX4SFDVBFVZ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AIK5KOX4","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AIK5KOX4SFDVBFVZ4QPJ4SMAUH","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-11T16:18:26Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"7f2ff3f2b159d95d1ca0cc7d174691e21b19365f8a2fc482d44bbd1e0e7d8bec","abstract_canon_sha256":"63c92c8be215bfb9956ea567365afea548eda75ffaf91ed1cefd07f86e33ff8e"},"schema_version":"1.0"},"canonical_sha256":"0215d53afc91475096b9e41e9e4980a1ccb94ce51d1eb876ee5b0601a301a7b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:14.769757Z","signature_b64":"Zk3370m27DRO6PTlglnHctyQfIps2X+AanETXDFYUU6CwsU0D8+TU4YaEe6i3KMQHQDrzFqx1vgI4pm79V70Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0215d53afc91475096b9e41e9e4980a1ccb94ce51d1eb876ee5b0601a301a7b3","last_reissued_at":"2026-05-18T03:17:14.769119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:14.769119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2361","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:17:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6f8AfEJHHFt4q/ZOMuijG0h4ZElgROiNCaMuqDRITENHCJKpl7rJtRON/zmm6MVGYTOtEFnugn78ERPNcsLdDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:59:44.472736Z"},"content_sha256":"f62e3a14de83680c17b11c5ff155c5c4419c01a53826b0748e15982c4246b519","schema_version":"1.0","event_id":"sha256:f62e3a14de83680c17b11c5ff155c5c4419c01a53826b0748e15982c4246b519"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AIK5KOX4SFDVBFVZ4QPJ4SMAUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A link queue model of network traffic flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Wen-Long Jin","submitted_at":"2012-09-11T16:18:26Z","abstract_excerpt":"Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a deterministic queueing model of network traffic flow, in which traffic on each link is considered as a queue. In the link queue model, the demand and supply of a queue are defined based on the link's fundamental diagram, and its in- and out-fluxes are computed from junction flux functions corresponding to macroscopic merging and diverging rules. We demonstrate that the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2361","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:17:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h92DtfOr3canz02CWX8EqHGKjRVHpzoVZWLbTy1fETg+a4mpAa7+1yU2ks/3h2EHDTT/D6Pgx5Vg6iVt2GhrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:59:44.473488Z"},"content_sha256":"e1fd32f5c30066a85e71e71eba3aeb7e935b49c835f724c562fb55ae9f9bc8f1","schema_version":"1.0","event_id":"sha256:e1fd32f5c30066a85e71e71eba3aeb7e935b49c835f724c562fb55ae9f9bc8f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/bundle.json","state_url":"https://pith.science/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/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":"2026-06-09T06:59:44Z","links":{"resolver":"https://pith.science/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH","bundle":"https://pith.science/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/bundle.json","state":"https://pith.science/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIK5KOX4SFDVBFVZ4QPJ4SMAUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AIK5KOX4SFDVBFVZ4QPJ4SMAUH","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":"63c92c8be215bfb9956ea567365afea548eda75ffaf91ed1cefd07f86e33ff8e","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-11T16:18:26Z","title_canon_sha256":"7f2ff3f2b159d95d1ca0cc7d174691e21b19365f8a2fc482d44bbd1e0e7d8bec"},"schema_version":"1.0","source":{"id":"1209.2361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2361","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2361v2","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2361","created_at":"2026-05-18T03:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"AIK5KOX4SFDV","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AIK5KOX4SFDVBFVZ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AIK5KOX4","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:e1fd32f5c30066a85e71e71eba3aeb7e935b49c835f724c562fb55ae9f9bc8f1","target":"graph","created_at":"2026-05-18T03:17:14Z","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"},"paper":{"abstract_excerpt":"Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a deterministic queueing model of network traffic flow, in which traffic on each link is considered as a queue. In the link queue model, the demand and supply of a queue are defined based on the link's fundamental diagram, and its in- and out-fluxes are computed from junction flux functions corresponding to macroscopic merging and diverging rules. We demonstrate that the ","authors_text":"Wen-Long Jin","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-11T16:18:26Z","title":"A link queue model of network traffic flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2361","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:f62e3a14de83680c17b11c5ff155c5c4419c01a53826b0748e15982c4246b519","target":"record","created_at":"2026-05-18T03:17:14Z","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":"63c92c8be215bfb9956ea567365afea548eda75ffaf91ed1cefd07f86e33ff8e","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-11T16:18:26Z","title_canon_sha256":"7f2ff3f2b159d95d1ca0cc7d174691e21b19365f8a2fc482d44bbd1e0e7d8bec"},"schema_version":"1.0","source":{"id":"1209.2361","kind":"arxiv","version":2}},"canonical_sha256":"0215d53afc91475096b9e41e9e4980a1ccb94ce51d1eb876ee5b0601a301a7b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0215d53afc91475096b9e41e9e4980a1ccb94ce51d1eb876ee5b0601a301a7b3","first_computed_at":"2026-05-18T03:17:14.769119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:14.769119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zk3370m27DRO6PTlglnHctyQfIps2X+AanETXDFYUU6CwsU0D8+TU4YaEe6i3KMQHQDrzFqx1vgI4pm79V70Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:14.769757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f62e3a14de83680c17b11c5ff155c5c4419c01a53826b0748e15982c4246b519","sha256:e1fd32f5c30066a85e71e71eba3aeb7e935b49c835f724c562fb55ae9f9bc8f1"],"state_sha256":"5b0c306146c405d5b1075704c3e7edd076c3c42fe0f7508e344ea017c2590e2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZHQH4IVweqFnZUZj3u1HiOxuvb+XWLIOsFZdkfIsTSs8bi/qeUNM97OR5rOrf7Mq2t/Rn1iHKKNBgVYEGNfPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:59:44.477844Z","bundle_sha256":"b3b594d15d99278c438f1ec3cfbe939927d052a9c04a5e8563d7d6922c379d16"}}