{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IB2D2JT7MUG2UTCJQZ6MJEYMPG","short_pith_number":"pith:IB2D2JT7","canonical_record":{"source":{"id":"1003.3891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-19T21:55:31Z","cross_cats_sorted":["math.MP","physics.soc-ph"],"title_canon_sha256":"ef06523d3ff939b579f227571d2784f95c9b59b7bf3f3a691370c1c096d74e10","abstract_canon_sha256":"2c1bcae6d618fb3e10fff1eb50d3f6d2138dff74c9e18dc0f93618bd64c829a5"},"schema_version":"1.0"},"canonical_sha256":"40743d267f650daa4c49867cc4930c79baa69a60e286981cbda61cf45b415941","source":{"kind":"arxiv","id":"1003.3891","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3891","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3891v2","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3891","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"IB2D2JT7MUG2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB2D2JT7MUG2UTCJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB2D2JT7","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IB2D2JT7MUG2UTCJQZ6MJEYMPG","target":"record","payload":{"canonical_record":{"source":{"id":"1003.3891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-19T21:55:31Z","cross_cats_sorted":["math.MP","physics.soc-ph"],"title_canon_sha256":"ef06523d3ff939b579f227571d2784f95c9b59b7bf3f3a691370c1c096d74e10","abstract_canon_sha256":"2c1bcae6d618fb3e10fff1eb50d3f6d2138dff74c9e18dc0f93618bd64c829a5"},"schema_version":"1.0"},"canonical_sha256":"40743d267f650daa4c49867cc4930c79baa69a60e286981cbda61cf45b415941","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:02.561901Z","signature_b64":"NgnXmjahv914ceXT7LPdBUcS/+qD7UBfmD/64we1xOXQ+wgBR/deTgtqFNlhSua0Q5HpZC/BYLNSMheqMGduAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40743d267f650daa4c49867cc4930c79baa69a60e286981cbda61cf45b415941","last_reissued_at":"2026-05-18T04:42:02.561368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:02.561368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.3891","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":"2026-05-18T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZ2bc7PPnArUrwl52TE0xeEscPNl1xbRLUMq8Nf0vtpgQzIgajBHVf6k9K5KbEvdhbSNMEnCnVJ7fdopdTalBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:57:43.520557Z"},"content_sha256":"32e3118d7ff7a140a6ad0fdaaa7b0febd9f857f99c1aba234f1f8b2f9abd9efa","schema_version":"1.0","event_id":"sha256:32e3118d7ff7a140a6ad0fdaaa7b0febd9f857f99c1aba234f1f8b2f9abd9efa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IB2D2JT7MUG2UTCJQZ6MJEYMPG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.soc-ph"],"primary_cat":"math-ph","authors_text":"Andrea Tosin, Fiammetta Venuti, Luca Bruno, Paolo Tricerri","submitted_at":"2010-03-19T21:55:31Z","abstract_excerpt":"In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitutive elements are detailed, and a qualitative analysis is provided. Within this common framework, two first-order mathematical models, along with related numerical solution techniques, are derived. The models are oriented to specific real world applications: a one-dimensional model of crowd-structure interaction in footbridges and a two-dimensional model of pedestrian flow in an underground station with several obstac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3891","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":"2026-05-18T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3nZtQzvg3e1dJWUgobZbkFJmqYsNN1YhyB7n3uDC11jqDx6zJMUmd2Idzgb/XeJ3wQMJaUp3fTXy+LNRtFnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T19:57:43.520906Z"},"content_sha256":"d4a996b3fd050e3251978e439b3105ad9a945827b6e0593cad69be164183fe69","schema_version":"1.0","event_id":"sha256:d4a996b3fd050e3251978e439b3105ad9a945827b6e0593cad69be164183fe69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/bundle.json","state_url":"https://pith.science/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/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":"2026-06-21T19:57:43Z","links":{"resolver":"https://pith.science/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG","bundle":"https://pith.science/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/bundle.json","state":"https://pith.science/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB2D2JT7MUG2UTCJQZ6MJEYMPG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IB2D2JT7MUG2UTCJQZ6MJEYMPG","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":"2c1bcae6d618fb3e10fff1eb50d3f6d2138dff74c9e18dc0f93618bd64c829a5","cross_cats_sorted":["math.MP","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-19T21:55:31Z","title_canon_sha256":"ef06523d3ff939b579f227571d2784f95c9b59b7bf3f3a691370c1c096d74e10"},"schema_version":"1.0","source":{"id":"1003.3891","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3891","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3891v2","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3891","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"IB2D2JT7MUG2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IB2D2JT7MUG2UTCJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IB2D2JT7","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:d4a996b3fd050e3251978e439b3105ad9a945827b6e0593cad69be164183fe69","target":"graph","created_at":"2026-05-18T04:42:02Z","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":"In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitutive elements are detailed, and a qualitative analysis is provided. Within this common framework, two first-order mathematical models, along with related numerical solution techniques, are derived. The models are oriented to specific real world applications: a one-dimensional model of crowd-structure interaction in footbridges and a two-dimensional model of pedestrian flow in an underground station with several obstac","authors_text":"Andrea Tosin, Fiammetta Venuti, Luca Bruno, Paolo Tricerri","cross_cats":["math.MP","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-19T21:55:31Z","title":"Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3891","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":"sha256:32e3118d7ff7a140a6ad0fdaaa7b0febd9f857f99c1aba234f1f8b2f9abd9efa","target":"record","created_at":"2026-05-18T04:42:02Z","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":"2c1bcae6d618fb3e10fff1eb50d3f6d2138dff74c9e18dc0f93618bd64c829a5","cross_cats_sorted":["math.MP","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-03-19T21:55:31Z","title_canon_sha256":"ef06523d3ff939b579f227571d2784f95c9b59b7bf3f3a691370c1c096d74e10"},"schema_version":"1.0","source":{"id":"1003.3891","kind":"arxiv","version":2}},"canonical_sha256":"40743d267f650daa4c49867cc4930c79baa69a60e286981cbda61cf45b415941","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40743d267f650daa4c49867cc4930c79baa69a60e286981cbda61cf45b415941","first_computed_at":"2026-05-18T04:42:02.561368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:02.561368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NgnXmjahv914ceXT7LPdBUcS/+qD7UBfmD/64we1xOXQ+wgBR/deTgtqFNlhSua0Q5HpZC/BYLNSMheqMGduAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:02.561901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.3891","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32e3118d7ff7a140a6ad0fdaaa7b0febd9f857f99c1aba234f1f8b2f9abd9efa","sha256:d4a996b3fd050e3251978e439b3105ad9a945827b6e0593cad69be164183fe69"],"state_sha256":"0062c28b591d8067ccfcee55622ab8c7b77b52f9a48dfbbd4405164953df0bb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w3mUh4Le5H9tI1ZG62DHrHVAGuhluqrr3c99NhQSHHxTalgewKSYity3lktld5eIvEEXpmKNJpiiAH5EgyhRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T19:57:43.522875Z","bundle_sha256":"1628bb2701fcfa440e4ceae36430dec558a9970907af9368419586b932980370"}}