{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7L2YT674QKQZPN2FOQ5KVXXJGZ","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":"82673ddc983e693035cc71aee8003d3b2f1dea5b37a1f922b275ed09d3a6b721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-02-22T14:58:43Z","title_canon_sha256":"0d216098b851699fc4c8c936e0ce43e9aea60f92e8a6aa553a8156ae09284199"},"schema_version":"1.0","source":{"id":"1802.08083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08083","created_at":"2026-05-18T00:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08083v1","created_at":"2026-05-18T00:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08083","created_at":"2026-05-18T00:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"7L2YT674QKQZ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7L2YT674QKQZPN2F","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7L2YT674","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:23771d810c0e05e363e27ca2a30396ddd9c23420971d2382efa40ab43cd3bacc","target":"graph","created_at":"2026-05-18T00:22:45Z","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 concerns optimal control of a nonconvex perturbed sweeping process and its applications to optimization of the planar crowd motion model of traffic equilibria. The obtained theoretical results allow us to investigate a dynamic optimization problem for the microscopic planar crown motion model with finitely many participants and completely solve it analytically in the case of two participants.","authors_text":"Boris Mordukhovich, Tan Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-02-22T14:58:43Z","title":"Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08083","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":"sha256:7e53cf5871d452b19475079fb898234868a0afdbc5f3130e4e154e54cf05db11","target":"record","created_at":"2026-05-18T00:22:45Z","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":"82673ddc983e693035cc71aee8003d3b2f1dea5b37a1f922b275ed09d3a6b721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-02-22T14:58:43Z","title_canon_sha256":"0d216098b851699fc4c8c936e0ce43e9aea60f92e8a6aa553a8156ae09284199"},"schema_version":"1.0","source":{"id":"1802.08083","kind":"arxiv","version":1}},"canonical_sha256":"faf589fbfc82a197b745743aaadee9364809ab82f4ec47997a78bf57d4d7b96b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faf589fbfc82a197b745743aaadee9364809ab82f4ec47997a78bf57d4d7b96b","first_computed_at":"2026-05-18T00:22:45.597392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:45.597392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FExU8v+Z+UZAyVsO8TP/BKWLQeoIjtt542+7p8aDOJhwwJxvzgsKR8PPLC3Gxoth1PhLcXdwy7E2wWkPj7FEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:45.597910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.08083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e53cf5871d452b19475079fb898234868a0afdbc5f3130e4e154e54cf05db11","sha256:23771d810c0e05e363e27ca2a30396ddd9c23420971d2382efa40ab43cd3bacc"],"state_sha256":"a73e8b8f9e9a7e5f60f4ec6337074bdc7d321df634e77f6160632d48fa0acf46"}