{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:D7YAP3R3IYGRK2QAH4JS4MMR6E","short_pith_number":"pith:D7YAP3R3","canonical_record":{"source":{"id":"1611.06848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-21T15:50:46Z","cross_cats_sorted":[],"title_canon_sha256":"48791fa67034932563a46992869f5e9ca2d2c06f5e12b6c18e791ffe82bd7ec9","abstract_canon_sha256":"efefd4e5264d027996aa3b6273c5a2414c9d6762e3cd080b35f01043128110a2"},"schema_version":"1.0"},"canonical_sha256":"1ff007ee3b460d156a003f132e3191f120f6920f3504fa15f2d16596574d36ce","source":{"kind":"arxiv","id":"1611.06848","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06848","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06848v1","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06848","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"D7YAP3R3IYGR","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D7YAP3R3IYGRK2QA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D7YAP3R3","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:D7YAP3R3IYGRK2QAH4JS4MMR6E","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-21T15:50:46Z","cross_cats_sorted":[],"title_canon_sha256":"48791fa67034932563a46992869f5e9ca2d2c06f5e12b6c18e791ffe82bd7ec9","abstract_canon_sha256":"efefd4e5264d027996aa3b6273c5a2414c9d6762e3cd080b35f01043128110a2"},"schema_version":"1.0"},"canonical_sha256":"1ff007ee3b460d156a003f132e3191f120f6920f3504fa15f2d16596574d36ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:32.717509Z","signature_b64":"SVKUi0ejU92u1mn68iVPXOwP3ipV8jbrVjQSgAQiroaTSE0eHniXuawQkUNt9CwwUH5opXKEpBPOl64RiV8sBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ff007ee3b460d156a003f132e3191f120f6920f3504fa15f2d16596574d36ce","last_reissued_at":"2026-05-18T00:57:32.716894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:32.716894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06848","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lz9DEWFvas3XExjT2LG0N6qet2OPqSfHbwWdAq+Qga4BLAbkNeLkbX9kjbEaXBqQinNKpuGmOi+1MiV0Uw3cBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:11:03.344947Z"},"content_sha256":"156ab4c033c3dc98bee0d8ff97b502d1ce048e65b5346b8f7f74a4a48e2a1992","schema_version":"1.0","event_id":"sha256:156ab4c033c3dc98bee0d8ff97b502d1ce048e65b5346b8f7f74a4a48e2a1992"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:D7YAP3R3IYGRK2QAH4JS4MMR6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hughes model for pedestrian dynamics and congestion modelling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Adriano Festa, Elisabetta Carlini, Francisco J. Silva","submitted_at":"2016-11-21T15:50:46Z","abstract_excerpt":"In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a coupled non-linear PDE system involving an eikonal equation and a first order conservation law, and it intends to approximate the flow of a large pedestrian group aiming to reach a target as fast as possible, while taking into account the congestion of the crowd.\n  We propose an efficient semi-Lagrangian scheme (SL) to approximate the solution of the PDE system and we investigate the macroscopic effects of different p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06848","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":""},"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":"2026-05-18T00:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HjEbnjKPMzq68yzz045UCdY3LhQpPzT7V+dWirThFNO9l9yeTIwmX4WDqEmEfsdGEvc+sYAqjcjoIwUiqBnyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:11:03.345603Z"},"content_sha256":"8cd882efcf2491da3e8ddfefb502b922b6e3f9c3ecaf80dc7bc0c4accef01b9b","schema_version":"1.0","event_id":"sha256:8cd882efcf2491da3e8ddfefb502b922b6e3f9c3ecaf80dc7bc0c4accef01b9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/bundle.json","state_url":"https://pith.science/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/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":"2026-05-27T22:11:03Z","links":{"resolver":"https://pith.science/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E","bundle":"https://pith.science/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/bundle.json","state":"https://pith.science/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D7YAP3R3IYGRK2QAH4JS4MMR6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:D7YAP3R3IYGRK2QAH4JS4MMR6E","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":"efefd4e5264d027996aa3b6273c5a2414c9d6762e3cd080b35f01043128110a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-21T15:50:46Z","title_canon_sha256":"48791fa67034932563a46992869f5e9ca2d2c06f5e12b6c18e791ffe82bd7ec9"},"schema_version":"1.0","source":{"id":"1611.06848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06848","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06848v1","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06848","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"D7YAP3R3IYGR","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D7YAP3R3IYGRK2QA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D7YAP3R3","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:8cd882efcf2491da3e8ddfefb502b922b6e3f9c3ecaf80dc7bc0c4accef01b9b","target":"graph","created_at":"2026-05-18T00:57:32Z","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 paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a coupled non-linear PDE system involving an eikonal equation and a first order conservation law, and it intends to approximate the flow of a large pedestrian group aiming to reach a target as fast as possible, while taking into account the congestion of the crowd.\n  We propose an efficient semi-Lagrangian scheme (SL) to approximate the solution of the PDE system and we investigate the macroscopic effects of different p","authors_text":"Adriano Festa, Elisabetta Carlini, Francisco J. Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-21T15:50:46Z","title":"The Hughes model for pedestrian dynamics and congestion modelling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06848","kind":"arxiv","version":1},"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":"sha256:156ab4c033c3dc98bee0d8ff97b502d1ce048e65b5346b8f7f74a4a48e2a1992","target":"record","created_at":"2026-05-18T00:57:32Z","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":"efefd4e5264d027996aa3b6273c5a2414c9d6762e3cd080b35f01043128110a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-21T15:50:46Z","title_canon_sha256":"48791fa67034932563a46992869f5e9ca2d2c06f5e12b6c18e791ffe82bd7ec9"},"schema_version":"1.0","source":{"id":"1611.06848","kind":"arxiv","version":1}},"canonical_sha256":"1ff007ee3b460d156a003f132e3191f120f6920f3504fa15f2d16596574d36ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ff007ee3b460d156a003f132e3191f120f6920f3504fa15f2d16596574d36ce","first_computed_at":"2026-05-18T00:57:32.716894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:32.716894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SVKUi0ejU92u1mn68iVPXOwP3ipV8jbrVjQSgAQiroaTSE0eHniXuawQkUNt9CwwUH5opXKEpBPOl64RiV8sBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:32.717509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:156ab4c033c3dc98bee0d8ff97b502d1ce048e65b5346b8f7f74a4a48e2a1992","sha256:8cd882efcf2491da3e8ddfefb502b922b6e3f9c3ecaf80dc7bc0c4accef01b9b"],"state_sha256":"ab46ece6106dfee21fe6e9a7611686db6442f4ecd4dc92dbff8f56b537740511"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvReHfSgJPXR87EsfDeqiBZyydlbfYzLXvPJbcLWDqWEUSAQ4iPh4bAzmQr2C8wys+1BcN2vI3JDBzRNKbyQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:11:03.348538Z","bundle_sha256":"a8026925ae56d95eb891c3d8b0a97e178f7a4ebf9dd39a611f4760e6ba9ea6fc"}}