{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GK7PKBDHZYHZ2JWWDG3LZTP4ZR","short_pith_number":"pith:GK7PKBDH","canonical_record":{"source":{"id":"1411.4988","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-17T10:06:47Z","cross_cats_sorted":[],"title_canon_sha256":"35870dae137716265f39214229958f9abd914b56290d8435351ed1dfe7b8a1a2","abstract_canon_sha256":"ec9d90b0cc1a3315271518ae5c8c4cdd6a8b6bfc0e6b676dd1c99844ad96a41c"},"schema_version":"1.0"},"canonical_sha256":"32bef50467ce0f9d26d619b6bccdfccc7549ba8238606c3a3a511e315ea7a56a","source":{"kind":"arxiv","id":"1411.4988","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4988","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4988v2","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4988","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"pith_short_12","alias_value":"GK7PKBDHZYHZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GK7PKBDHZYHZ2JWW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GK7PKBDH","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GK7PKBDHZYHZ2JWWDG3LZTP4ZR","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4988","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-17T10:06:47Z","cross_cats_sorted":[],"title_canon_sha256":"35870dae137716265f39214229958f9abd914b56290d8435351ed1dfe7b8a1a2","abstract_canon_sha256":"ec9d90b0cc1a3315271518ae5c8c4cdd6a8b6bfc0e6b676dd1c99844ad96a41c"},"schema_version":"1.0"},"canonical_sha256":"32bef50467ce0f9d26d619b6bccdfccc7549ba8238606c3a3a511e315ea7a56a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:55.568578Z","signature_b64":"RKnVc368O1zdceqerV/O8qu0GhUgoE2PHZab9nsRzaALJHLOAH9KALVauS9OXzo99Q+wc8N5ObtHyE4K0+hEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32bef50467ce0f9d26d619b6bccdfccc7549ba8238606c3a3a511e315ea7a56a","last_reissued_at":"2026-05-18T01:19:55.568051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:55.568051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4988","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":"2026-05-18T01:19:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cSraVYJkxi5DGaUyTScTeA/iMaAQIoJXVKvu13BLRSU8zJFVIY3VuHhU03OmFGBSAHrw9CiTRDGpSQgfkPQIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:06:21.365642Z"},"content_sha256":"c34c0f17b42fc453d3b74edb34a2a073e32bd43b41834341546e4f3753538572","schema_version":"1.0","event_id":"sha256:c34c0f17b42fc453d3b74edb34a2a073e32bd43b41834341546e4f3753538572"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GK7PKBDHZYHZ2JWWDG3LZTP4ZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrea Tosin, Gabriella Puppo, Giuseppe Visconti, Matteo Semplice","submitted_at":"2014-11-17T10:06:47Z","abstract_excerpt":"Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet fully reproduced nor explained by mathematical models. In this paper, resting on the methods of kinetic theory, we introduce a new traffic model which takes into account the heterogeneous nature of the flow of vehicles along a road. In more detail, the model considers traffic as a mixture of two or more populations of vehicles (e.g., cars and trucks) with diffe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4988","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":"2026-05-18T01:19:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ClByp7pxMjIE+qSkeWyf8e94sovsNJtSihfGadZ5gvhDosWe37i+eIamsyYKFnMBmMECx7GAJQq5GZxAurQYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T05:06:21.366392Z"},"content_sha256":"3925c103cb80c84b7c070f88780d0a9b81083eed43da82f70e1ee1f12b89874c","schema_version":"1.0","event_id":"sha256:3925c103cb80c84b7c070f88780d0a9b81083eed43da82f70e1ee1f12b89874c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/bundle.json","state_url":"https://pith.science/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/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":"2026-06-09T05:06:21Z","links":{"resolver":"https://pith.science/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR","bundle":"https://pith.science/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/bundle.json","state":"https://pith.science/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GK7PKBDHZYHZ2JWWDG3LZTP4ZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GK7PKBDHZYHZ2JWWDG3LZTP4ZR","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":"ec9d90b0cc1a3315271518ae5c8c4cdd6a8b6bfc0e6b676dd1c99844ad96a41c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-17T10:06:47Z","title_canon_sha256":"35870dae137716265f39214229958f9abd914b56290d8435351ed1dfe7b8a1a2"},"schema_version":"1.0","source":{"id":"1411.4988","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4988","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4988v2","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4988","created_at":"2026-05-18T01:19:55Z"},{"alias_kind":"pith_short_12","alias_value":"GK7PKBDHZYHZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GK7PKBDHZYHZ2JWW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GK7PKBDH","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:3925c103cb80c84b7c070f88780d0a9b81083eed43da82f70e1ee1f12b89874c","target":"graph","created_at":"2026-05-18T01:19:55Z","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":"Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet fully reproduced nor explained by mathematical models. In this paper, resting on the methods of kinetic theory, we introduce a new traffic model which takes into account the heterogeneous nature of the flow of vehicles along a road. In more detail, the model considers traffic as a mixture of two or more populations of vehicles (e.g., cars and trucks) with diffe","authors_text":"Andrea Tosin, Gabriella Puppo, Giuseppe Visconti, Matteo Semplice","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-17T10:06:47Z","title":"Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4988","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:c34c0f17b42fc453d3b74edb34a2a073e32bd43b41834341546e4f3753538572","target":"record","created_at":"2026-05-18T01:19:55Z","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":"ec9d90b0cc1a3315271518ae5c8c4cdd6a8b6bfc0e6b676dd1c99844ad96a41c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-17T10:06:47Z","title_canon_sha256":"35870dae137716265f39214229958f9abd914b56290d8435351ed1dfe7b8a1a2"},"schema_version":"1.0","source":{"id":"1411.4988","kind":"arxiv","version":2}},"canonical_sha256":"32bef50467ce0f9d26d619b6bccdfccc7549ba8238606c3a3a511e315ea7a56a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32bef50467ce0f9d26d619b6bccdfccc7549ba8238606c3a3a511e315ea7a56a","first_computed_at":"2026-05-18T01:19:55.568051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:55.568051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKnVc368O1zdceqerV/O8qu0GhUgoE2PHZab9nsRzaALJHLOAH9KALVauS9OXzo99Q+wc8N5ObtHyE4K0+hEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:55.568578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4988","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c34c0f17b42fc453d3b74edb34a2a073e32bd43b41834341546e4f3753538572","sha256:3925c103cb80c84b7c070f88780d0a9b81083eed43da82f70e1ee1f12b89874c"],"state_sha256":"5cca1b32a8a825843555ff6c09ad1b5141cc13027a51e8957267175d29516834"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZ5Z0rY8Em9PWlsHK29n3/PaFhSBzJ5ySn54B628GXouUVSXN8vhUL24mlFVxOajTVR5QStREWwKuz4gVkokBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T05:06:21.372081Z","bundle_sha256":"098894b6ee34885a7c6d320bcb79fee4405375754944a75b27d02915cf1402a4"}}