{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3BVPG6GZ2SQ6ST3KOEJAXI3HXI","short_pith_number":"pith:3BVPG6GZ","canonical_record":{"source":{"id":"1506.05422","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-12T09:52:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e017d8eeb3ee2a0574af7da9e7293d7e013e11272e41cb6653c48cdfd6e14018","abstract_canon_sha256":"6f2fd7e6a9406df40e9613f40245301b2689e43205cd079a2e88399f219afa0b"},"schema_version":"1.0"},"canonical_sha256":"d86af378d9d4a1e94f6a71120ba367ba35ccf5235433869e344074ca84f9ed8c","source":{"kind":"arxiv","id":"1506.05422","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05422","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05422v5","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05422","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"3BVPG6GZ2SQ6","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3BVPG6GZ2SQ6ST3K","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3BVPG6GZ","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3BVPG6GZ2SQ6ST3KOEJAXI3HXI","target":"record","payload":{"canonical_record":{"source":{"id":"1506.05422","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-12T09:52:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e017d8eeb3ee2a0574af7da9e7293d7e013e11272e41cb6653c48cdfd6e14018","abstract_canon_sha256":"6f2fd7e6a9406df40e9613f40245301b2689e43205cd079a2e88399f219afa0b"},"schema_version":"1.0"},"canonical_sha256":"d86af378d9d4a1e94f6a71120ba367ba35ccf5235433869e344074ca84f9ed8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:02.943845Z","signature_b64":"acHUPWjMwiYvXlbbv23TLDbgm4HqhkoAkzNDqsmiiFlzS2gOJevkTkYtwq6Ib9TNCAgWpLohbdzn+d7QnI+JBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d86af378d9d4a1e94f6a71120ba367ba35ccf5235433869e344074ca84f9ed8c","last_reissued_at":"2026-05-18T00:53:02.943390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:02.943390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.05422","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:53:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2AcjwkHxWdWrKZcJC8uYaEjfjIikUIAy6Tga6OJokUPlJmYnBk7Pmvp7I4qvhvn9YSG81V88dEiYS114ULHvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:34:50.776007Z"},"content_sha256":"3c3c107816a2f4cb834413ef9d355d4be3481b5e4443912ffcd9157d14e93289","schema_version":"1.0","event_id":"sha256:3c3c107816a2f4cb834413ef9d355d4be3481b5e4443912ffcd9157d14e93289"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3BVPG6GZ2SQ6ST3KOEJAXI3HXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proposal of a risk model for vehicular traffic: A Boltzmann-type kinetic approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.soc-ph","authors_text":"Andrea Tosin, Paolo Freguglia","submitted_at":"2015-06-12T09:52:48Z","abstract_excerpt":"This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the distribution of the driving risk along a road, are ultimately generated by one-to-one interactions among drivers, the model links the personal (i.e., individual) risk to the changes of speeds of single vehicles and implements a probabilistic description of such microscopic interactions in a Boltzmann-type collisional operator. By means of suitable statistical momen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05422","kind":"arxiv","version":5},"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":"2026-05-18T00:53:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ryvGvd9FstHF2sk+ynBYJBBEvBqKznGKNpu3AUwAQq2z7iyMFaKxMOyT1AL9oS2JgWPcBf20dmwa4i9vNmCjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:34:50.776372Z"},"content_sha256":"2bc1060babde2bed8f4d165be4694f1a686548bc84179d02e5a38f164aef7209","schema_version":"1.0","event_id":"sha256:2bc1060babde2bed8f4d165be4694f1a686548bc84179d02e5a38f164aef7209"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/bundle.json","state_url":"https://pith.science/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/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":"2026-06-21T20:34:50Z","links":{"resolver":"https://pith.science/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI","bundle":"https://pith.science/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/bundle.json","state":"https://pith.science/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BVPG6GZ2SQ6ST3KOEJAXI3HXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3BVPG6GZ2SQ6ST3KOEJAXI3HXI","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":"6f2fd7e6a9406df40e9613f40245301b2689e43205cd079a2e88399f219afa0b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-12T09:52:48Z","title_canon_sha256":"e017d8eeb3ee2a0574af7da9e7293d7e013e11272e41cb6653c48cdfd6e14018"},"schema_version":"1.0","source":{"id":"1506.05422","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05422","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05422v5","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05422","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"3BVPG6GZ2SQ6","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3BVPG6GZ2SQ6ST3K","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3BVPG6GZ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:2bc1060babde2bed8f4d165be4694f1a686548bc84179d02e5a38f164aef7209","target":"graph","created_at":"2026-05-18T00:53:02Z","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":"This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the distribution of the driving risk along a road, are ultimately generated by one-to-one interactions among drivers, the model links the personal (i.e., individual) risk to the changes of speeds of single vehicles and implements a probabilistic description of such microscopic interactions in a Boltzmann-type collisional operator. By means of suitable statistical momen","authors_text":"Andrea Tosin, Paolo Freguglia","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-12T09:52:48Z","title":"Proposal of a risk model for vehicular traffic: A Boltzmann-type kinetic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05422","kind":"arxiv","version":5},"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":"sha256:3c3c107816a2f4cb834413ef9d355d4be3481b5e4443912ffcd9157d14e93289","target":"record","created_at":"2026-05-18T00:53:02Z","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":"6f2fd7e6a9406df40e9613f40245301b2689e43205cd079a2e88399f219afa0b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-06-12T09:52:48Z","title_canon_sha256":"e017d8eeb3ee2a0574af7da9e7293d7e013e11272e41cb6653c48cdfd6e14018"},"schema_version":"1.0","source":{"id":"1506.05422","kind":"arxiv","version":5}},"canonical_sha256":"d86af378d9d4a1e94f6a71120ba367ba35ccf5235433869e344074ca84f9ed8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d86af378d9d4a1e94f6a71120ba367ba35ccf5235433869e344074ca84f9ed8c","first_computed_at":"2026-05-18T00:53:02.943390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:02.943390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"acHUPWjMwiYvXlbbv23TLDbgm4HqhkoAkzNDqsmiiFlzS2gOJevkTkYtwq6Ib9TNCAgWpLohbdzn+d7QnI+JBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:02.943845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05422","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c3c107816a2f4cb834413ef9d355d4be3481b5e4443912ffcd9157d14e93289","sha256:2bc1060babde2bed8f4d165be4694f1a686548bc84179d02e5a38f164aef7209"],"state_sha256":"c45e69caeb4303cae58d1082803692e5d7c174086ba51a9ca980a15b098b799c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PiJA2UgCO0pI6eC2h/8JqOUNFdj/T34qinkbl9LdwDViQ+qeHuPKKFndkRInTyTXn/ZkC3JZZetrak+4vtezDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T20:34:50.778309Z","bundle_sha256":"038d7590e8b7bba133299253cdcff7adb7e3ee9d73fc4a7bcc3662d06d33c9c1"}}