{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A3O5F57KB2EU5MBAOL3EQFCOET","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":"c539a33cd2cb28962bd062b97d9992561b224469c6ac50ab10e1ee275187cd8d","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-07-26T18:12:59Z","title_canon_sha256":"546a062807c3f720c22f3065cb6b73d0664f3b4ccd5d8ebe37bba379fe005e59"},"schema_version":"1.0","source":{"id":"1107.5280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5280","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5280v1","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5280","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"A3O5F57KB2EU","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"A3O5F57KB2EU5MBA","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"A3O5F57K","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:6ae0cbb3cf4621d87ae6e04476d4edded4d8e9cacf4c02b48ff0fd2454509e30","target":"graph","created_at":"2026-05-18T04:16:52Z","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":"Lipschitz one-dimensional constrained global optimization (GO) problems where both the objective function and constraints can be multiextremal and non-differentiable are considered in this paper. Problems, where the constraints are verified in an a priori given order fixed by the nature of the problem are studied. Moreover, if a constraint is not satisfied at a point, then the remaining constraints and the objective function can be undefined at this point. The constrained problem is reduced to a discontinuous unconstrained problem by the index scheme without introducing additional parameters o","authors_text":"Dmitri E. Kvasov, Falah M.H. Khalaf, Yaroslav D. Sergeyev","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-07-26T18:12:59Z","title":"A One-Dimensional Local Tuning Algorithm for Solving GO Problems with Partially Defined Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5280","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":"sha256:41ca4fa9d3d3ddbf268ca21423f8cb009db037ccfcd5c395ca6fe9e560e30522","target":"record","created_at":"2026-05-18T04:16:52Z","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":"c539a33cd2cb28962bd062b97d9992561b224469c6ac50ab10e1ee275187cd8d","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-07-26T18:12:59Z","title_canon_sha256":"546a062807c3f720c22f3065cb6b73d0664f3b4ccd5d8ebe37bba379fe005e59"},"schema_version":"1.0","source":{"id":"1107.5280","kind":"arxiv","version":1}},"canonical_sha256":"06ddd2f7ea0e894eb02072f648144e24e40b40525be8e394e4341e80d34b20f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06ddd2f7ea0e894eb02072f648144e24e40b40525be8e394e4341e80d34b20f1","first_computed_at":"2026-05-18T04:16:52.608382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:52.608382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3L8hgVXg0OpwW+39SFWb5eBXSRZvln/zd+MXaJ9TqtpuU/oE/ZpgaVrsLrGONTAKGsNNm2b8r7lO9V/irOvuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:52.609021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41ca4fa9d3d3ddbf268ca21423f8cb009db037ccfcd5c395ca6fe9e560e30522","sha256:6ae0cbb3cf4621d87ae6e04476d4edded4d8e9cacf4c02b48ff0fd2454509e30"],"state_sha256":"bdde133f890fc3e504de55976767488f4d2e22d79079c179a8477586edb67b3d"}