{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VIMA53OFHTXEGYYETLN25FOKIJ","short_pith_number":"pith:VIMA53OF","canonical_record":{"source":{"id":"2403.01168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-03-02T10:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"3902944e363b1b77a2fab8ed62b676f46789021ba7332650648f1d9b17b6adf8","abstract_canon_sha256":"84cd98267e702e0ee138ac7b91919d7cbafdc745f010329d3b7ccc78aaa182ba"},"schema_version":"1.0"},"canonical_sha256":"aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4","source":{"kind":"arxiv","id":"2403.01168","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.01168","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"2403.01168v2","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.01168","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"VIMA53OFHTXE","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_16","alias_value":"VIMA53OFHTXEGYYE","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_8","alias_value":"VIMA53OF","created_at":"2026-07-05T08:24:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VIMA53OFHTXEGYYETLN25FOKIJ","target":"record","payload":{"canonical_record":{"source":{"id":"2403.01168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-03-02T10:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"3902944e363b1b77a2fab8ed62b676f46789021ba7332650648f1d9b17b6adf8","abstract_canon_sha256":"84cd98267e702e0ee138ac7b91919d7cbafdc745f010329d3b7ccc78aaa182ba"},"schema_version":"1.0"},"canonical_sha256":"aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:24:03.293299Z","signature_b64":"htVYfyJnrpU9yHmVMoYhIVDWKbN/iUB3EwkElXr5Dn5LHGSXXlmAE+I+gFzsgCcQ9C55ZR/KJhnIBFNdC+9eDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4","last_reissued_at":"2026-07-05T08:24:03.292862Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:24:03.292862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.01168","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":"2026-07-05T08:24:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ddSEE9V5tB9SWhAN+mukqx5wcfknXbNZ60iue+MNj3DXLMTxJ4XM69sPOqL037jKk0tKMHd9aT6GrtiPhf+nCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:59:57.423314Z"},"content_sha256":"1bcb33fe3b2b76b1d08be9d1567b9196699baf33ecb6d246b060b70696aece35","schema_version":"1.0","event_id":"sha256:1bcb33fe3b2b76b1d08be9d1567b9196699baf33ecb6d246b060b70696aece35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VIMA53OFHTXEGYYETLN25FOKIJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean-Field Games Modeling of Anticipation in Dense Crowds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"C\\'ecile Appert-Rolland, Denis Ullmo, Matteo Butano","submitted_at":"2024-03-02T10:40:50Z","abstract_excerpt":"Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics of a dense crowd crossed by a cylindrical intruder using a Mean-Field Game (MFG) model. By incorporating a discount factor to account for pedestrians' limited anticipation and information processing, we examine the model's ability to simulate two distinct experimental configurations: pedestrians facing the obstacle and pedestrians giving their back to the intruder. Through a comprehensive comparison with experimental "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.01168","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.01168/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":"2026-07-05T08:24:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ExqUFTmMrF9yuUjrfS0QiL7Kt3xIMIiJ+GL8Fpp7PRvGA645uxm6m9LZSnPz6EkqFlMCXucjfhdLfKkeRVsKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:59:57.425442Z"},"content_sha256":"05a4fd98dd42b91ec1fb76b786c32c9930b2595573d0cd206e3ba3bc9157f24f","schema_version":"1.0","event_id":"sha256:05a4fd98dd42b91ec1fb76b786c32c9930b2595573d0cd206e3ba3bc9157f24f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VIMA53OFHTXEGYYETLN25FOKIJ/bundle.json","state_url":"https://pith.science/pith/VIMA53OFHTXEGYYETLN25FOKIJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VIMA53OFHTXEGYYETLN25FOKIJ/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":"2026-08-04T22:59:57Z","links":{"resolver":"https://pith.science/pith/VIMA53OFHTXEGYYETLN25FOKIJ","bundle":"https://pith.science/pith/VIMA53OFHTXEGYYETLN25FOKIJ/bundle.json","state":"https://pith.science/pith/VIMA53OFHTXEGYYETLN25FOKIJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VIMA53OFHTXEGYYETLN25FOKIJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VIMA53OFHTXEGYYETLN25FOKIJ","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":"84cd98267e702e0ee138ac7b91919d7cbafdc745f010329d3b7ccc78aaa182ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-03-02T10:40:50Z","title_canon_sha256":"3902944e363b1b77a2fab8ed62b676f46789021ba7332650648f1d9b17b6adf8"},"schema_version":"1.0","source":{"id":"2403.01168","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.01168","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"2403.01168v2","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.01168","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"VIMA53OFHTXE","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_16","alias_value":"VIMA53OFHTXEGYYE","created_at":"2026-07-05T08:24:03Z"},{"alias_kind":"pith_short_8","alias_value":"VIMA53OF","created_at":"2026-07-05T08:24:03Z"}],"graph_snapshots":[{"event_id":"sha256:05a4fd98dd42b91ec1fb76b786c32c9930b2595573d0cd206e3ba3bc9157f24f","target":"graph","created_at":"2026-07-05T08:24:03Z","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/2403.01168/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics of a dense crowd crossed by a cylindrical intruder using a Mean-Field Game (MFG) model. By incorporating a discount factor to account for pedestrians' limited anticipation and information processing, we examine the model's ability to simulate two distinct experimental configurations: pedestrians facing the obstacle and pedestrians giving their back to the intruder. Through a comprehensive comparison with experimental ","authors_text":"C\\'ecile Appert-Rolland, Denis Ullmo, Matteo Butano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-03-02T10:40:50Z","title":"Mean-Field Games Modeling of Anticipation in Dense Crowds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.01168","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":"sha256:1bcb33fe3b2b76b1d08be9d1567b9196699baf33ecb6d246b060b70696aece35","target":"record","created_at":"2026-07-05T08:24:03Z","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":"84cd98267e702e0ee138ac7b91919d7cbafdc745f010329d3b7ccc78aaa182ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-03-02T10:40:50Z","title_canon_sha256":"3902944e363b1b77a2fab8ed62b676f46789021ba7332650648f1d9b17b6adf8"},"schema_version":"1.0","source":{"id":"2403.01168","kind":"arxiv","version":2}},"canonical_sha256":"aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa180eedc53cee4363049adbae95ca42744443d730549c4761b64f77b5eca2d4","first_computed_at":"2026-07-05T08:24:03.292862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:24:03.292862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"htVYfyJnrpU9yHmVMoYhIVDWKbN/iUB3EwkElXr5Dn5LHGSXXlmAE+I+gFzsgCcQ9C55ZR/KJhnIBFNdC+9eDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:24:03.293299Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.01168","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bcb33fe3b2b76b1d08be9d1567b9196699baf33ecb6d246b060b70696aece35","sha256:05a4fd98dd42b91ec1fb76b786c32c9930b2595573d0cd206e3ba3bc9157f24f"],"state_sha256":"7dd762547002a02cca6d038eea3c7bc35c4437073ed5fede65b9c56f327ee634"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JSxt4FNYwF1tKzw0/znh3PvaJ1/fjBdn3/XdskAckwboNmyOq8bSBZB7U6p73/piBDVQbaP4Lk706g4z6yaxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:59:57.441527Z","bundle_sha256":"70c247e96ae4d57638ff746e272f46ee073a54ba77c42019a1c4c933b2b201d2"}}