{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QCICINIPGOE3KKGIXAPI7VESDO","short_pith_number":"pith:QCICINIP","schema_version":"1.0","canonical_sha256":"809024350f3389b528c8b81e8fd4921b8b1b1fd3cf672985ec558564673fac28","source":{"kind":"arxiv","id":"1711.03315","version":1},"attestation_state":"computed","paper":{"title":"Projection process with definable right-hand side","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mira Bivas, Nadezhda Ribarska","submitted_at":"2017-11-09T10:35:37Z","abstract_excerpt":"We study the relation between sweeping processes with the cone of limiting normals and projection processes. We prove the existence of solution of a perturbed sweeping process with the cone of limiting normals and of nonstationary projection process, provided the sets involved are definable (and are moving in a definable way) in some o-minimal structure. An application to a crowd motion model is presented."},"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":"1711.03315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-09T10:35:37Z","cross_cats_sorted":[],"title_canon_sha256":"a163c04b6a6ec340af1ecfa03cacbfab10fb1aa1e7961d3f060797d094679e69","abstract_canon_sha256":"d008afd8c93f5c36b86743c5c658c4ae2973c550bc2d290a86370c63723376a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:56.603693Z","signature_b64":"IdXgDOS7iRFzUeQuUQl8E+ORfzX046wTuA46oQr3dmmvT4nZp/qiNTSCj54H2XbGMdegmaPEXgM7CCR40kbqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"809024350f3389b528c8b81e8fd4921b8b1b1fd3cf672985ec558564673fac28","last_reissued_at":"2026-05-18T00:30:56.603006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:56.603006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Projection process with definable right-hand side","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mira Bivas, Nadezhda Ribarska","submitted_at":"2017-11-09T10:35:37Z","abstract_excerpt":"We study the relation between sweeping processes with the cone of limiting normals and projection processes. We prove the existence of solution of a perturbed sweeping process with the cone of limiting normals and of nonstationary projection process, provided the sets involved are definable (and are moving in a definable way) in some o-minimal structure. An application to a crowd motion model is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03315","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.03315","created_at":"2026-05-18T00:30:56.603139+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.03315v1","created_at":"2026-05-18T00:30:56.603139+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03315","created_at":"2026-05-18T00:30:56.603139+00:00"},{"alias_kind":"pith_short_12","alias_value":"QCICINIPGOE3","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"QCICINIPGOE3KKGI","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"QCICINIP","created_at":"2026-05-18T12:31:37.085036+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/QCICINIPGOE3KKGIXAPI7VESDO","json":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO.json","graph_json":"https://pith.science/api/pith-number/QCICINIPGOE3KKGIXAPI7VESDO/graph.json","events_json":"https://pith.science/api/pith-number/QCICINIPGOE3KKGIXAPI7VESDO/events.json","paper":"https://pith.science/paper/QCICINIP"},"agent_actions":{"view_html":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO","download_json":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO.json","view_paper":"https://pith.science/paper/QCICINIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.03315&json=true","fetch_graph":"https://pith.science/api/pith-number/QCICINIPGOE3KKGIXAPI7VESDO/graph.json","fetch_events":"https://pith.science/api/pith-number/QCICINIPGOE3KKGIXAPI7VESDO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO/action/storage_attestation","attest_author":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO/action/author_attestation","sign_citation":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO/action/citation_signature","submit_replication":"https://pith.science/pith/QCICINIPGOE3KKGIXAPI7VESDO/action/replication_record"}},"created_at":"2026-05-18T00:30:56.603139+00:00","updated_at":"2026-05-18T00:30:56.603139+00:00"}