{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D4NHMW6IQ62H2WIUAHA42TAQLS","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":"edbffd4705f64465da4a633e1bdedfbf4f44333a8497e7f2a999c104ea46d3db","cross_cats_sorted":["cs.MS","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-15T12:24:58Z","title_canon_sha256":"4f82feb06f18be9cfe693692b28a75d106bb56fb47100dd042c2c3882a3e7f4c"},"schema_version":"1.0","source":{"id":"1509.04518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04518","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04518v1","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04518","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"D4NHMW6IQ62H","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D4NHMW6IQ62H2WIU","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D4NHMW6I","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:40550d7bf339b5bc5d52292efa4048f8ad65ba57f194037863422211766150bc","target":"graph","created_at":"2026-05-18T01:32:58Z","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 many practical decision-making problems it happens that functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate. In this paper, a global optimization problem is considered where both the goal function~$f(x)$ and its gradient $f'(x)$ are black-box functions. It is supposed that $f'(x)$ satisfies the Lipschitz condition over the search hyperinterval with an unknown Lipschitz constant~$K$. A new deterministic `Divide-the-Best' algorithm based on efficient diagonal partitions and smooth auxiliary functions is proposed in its basic ve","authors_text":"Dmitri E. Kvasov, Yaroslav D. Sergeyev","cross_cats":["cs.MS","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-15T12:24:58Z","title":"A deterministic global optimization using smooth diagonal auxiliary functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04518","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":"sha256:775041829cff8023130b4432654dbb803bb411c372be775612d35d690b98d776","target":"record","created_at":"2026-05-18T01:32:58Z","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":"edbffd4705f64465da4a633e1bdedfbf4f44333a8497e7f2a999c104ea46d3db","cross_cats_sorted":["cs.MS","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-15T12:24:58Z","title_canon_sha256":"4f82feb06f18be9cfe693692b28a75d106bb56fb47100dd042c2c3882a3e7f4c"},"schema_version":"1.0","source":{"id":"1509.04518","kind":"arxiv","version":1}},"canonical_sha256":"1f1a765bc887b47d591401c1cd4c105caba4212ac78a3ff19c2c38ae0b23e324","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f1a765bc887b47d591401c1cd4c105caba4212ac78a3ff19c2c38ae0b23e324","first_computed_at":"2026-05-18T01:32:58.655256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:58.655256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YuVUUoI7jc4VM9bPciEhulFe7Mu+qh19IrkwkwsLPc6khzkfIKVg5a4gRM+RDonGHuxtGDk9T2fbFumTnSh5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:58.655899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:775041829cff8023130b4432654dbb803bb411c372be775612d35d690b98d776","sha256:40550d7bf339b5bc5d52292efa4048f8ad65ba57f194037863422211766150bc"],"state_sha256":"20d477d3b7d6e3676efd2890a1a89c913ce39261170046010d198216fdb65812"}