{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:UMND4LZVCVGYZ53CLCDJC2CKJN","short_pith_number":"pith:UMND4LZV","schema_version":"1.0","canonical_sha256":"a31a3e2f35154d8cf762588691684a4b7ca199f37c50b4860f8acb034f20246e","source":{"kind":"arxiv","id":"2606.02899","version":1},"attestation_state":"computed","paper":{"title":"A coupled prediction-correction Hughes' model for congested crowd motion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ghadir Jradi, Hamza Ennaji, Jos\\'e Miguel Urbano, Noureddine Igbida","submitted_at":"2026-06-01T21:13:27Z","abstract_excerpt":"In this work, we introduce a new macroscopic model for crowd motion inspired by the celebrated Hughes' model \\cite{Hughes2002, Hughes2003}, which couples a nonlinear conservation law for the pedestrian density with an Eikonal equation describing the shortest path to the target. Our approach can be viewed both as a modification of Hughes' original formulation and as a refinement of the prediction-correction framework proposed in the recent work \\cite{ennaji2023prediction}. The resulting model incorporates anticipatory behavior and dynamic route adjustment, offering a more realistic representati"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.02899","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-01T21:13:27Z","cross_cats_sorted":[],"title_canon_sha256":"cce7c2b313fc072e2b990f52306c5feaa36e84b362016ece16b741b23cbb29f0","abstract_canon_sha256":"fd7ad03046ac6667e8c42c4295b790ff74f9240f4cdaf585d59e3b03432d0e0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:26.002587Z","signature_b64":"LmjipBcUHHQ0xcLbSW4MkMNEUR95N/GNa9aBKilWQPJ+GDS59wdZ2j32GyuS1f+Hv4N9zPlx+Xie0IM1ZH4uAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a31a3e2f35154d8cf762588691684a4b7ca199f37c50b4860f8acb034f20246e","last_reissued_at":"2026-06-03T01:05:26.002180Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:26.002180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A coupled prediction-correction Hughes' model for congested crowd motion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ghadir Jradi, Hamza Ennaji, Jos\\'e Miguel Urbano, Noureddine Igbida","submitted_at":"2026-06-01T21:13:27Z","abstract_excerpt":"In this work, we introduce a new macroscopic model for crowd motion inspired by the celebrated Hughes' model \\cite{Hughes2002, Hughes2003}, which couples a nonlinear conservation law for the pedestrian density with an Eikonal equation describing the shortest path to the target. Our approach can be viewed both as a modification of Hughes' original formulation and as a refinement of the prediction-correction framework proposed in the recent work \\cite{ennaji2023prediction}. The resulting model incorporates anticipatory behavior and dynamic route adjustment, offering a more realistic representati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02899","kind":"arxiv","version":1},"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/2606.02899/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.02899","created_at":"2026-06-03T01:05:26.002238+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.02899v1","created_at":"2026-06-03T01:05:26.002238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02899","created_at":"2026-06-03T01:05:26.002238+00:00"},{"alias_kind":"pith_short_12","alias_value":"UMND4LZVCVGY","created_at":"2026-06-03T01:05:26.002238+00:00"},{"alias_kind":"pith_short_16","alias_value":"UMND4LZVCVGYZ53C","created_at":"2026-06-03T01:05:26.002238+00:00"},{"alias_kind":"pith_short_8","alias_value":"UMND4LZV","created_at":"2026-06-03T01:05:26.002238+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN","json":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN.json","graph_json":"https://pith.science/api/pith-number/UMND4LZVCVGYZ53CLCDJC2CKJN/graph.json","events_json":"https://pith.science/api/pith-number/UMND4LZVCVGYZ53CLCDJC2CKJN/events.json","paper":"https://pith.science/paper/UMND4LZV"},"agent_actions":{"view_html":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN","download_json":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN.json","view_paper":"https://pith.science/paper/UMND4LZV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.02899&json=true","fetch_graph":"https://pith.science/api/pith-number/UMND4LZVCVGYZ53CLCDJC2CKJN/graph.json","fetch_events":"https://pith.science/api/pith-number/UMND4LZVCVGYZ53CLCDJC2CKJN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN/action/storage_attestation","attest_author":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN/action/author_attestation","sign_citation":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN/action/citation_signature","submit_replication":"https://pith.science/pith/UMND4LZVCVGYZ53CLCDJC2CKJN/action/replication_record"}},"created_at":"2026-06-03T01:05:26.002238+00:00","updated_at":"2026-06-03T01:05:26.002238+00:00"}