{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3JTEAHZHF66CMMILCM6PAMIOX6","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":"1f4c730254a4caf4b889d88d74c7c16a4b3410810e2bdd78e54a68bd0ae20a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T14:42:31Z","title_canon_sha256":"f82334b4f5b4c8ee3548b65b0876d625a9c0bb55e5453328bfbd9ec96e0e6830"},"schema_version":"1.0","source":{"id":"2605.22561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22561","created_at":"2026-05-22T01:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22561v1","created_at":"2026-05-22T01:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22561","created_at":"2026-05-22T01:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"3JTEAHZHF66C","created_at":"2026-05-22T01:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"3JTEAHZHF66CMMIL","created_at":"2026-05-22T01:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"3JTEAHZH","created_at":"2026-05-22T01:04:57Z"}],"graph_snapshots":[{"event_id":"sha256:4ba9d5c56d7f1b617999f67aee681c72931c5c0aeb9880ecc7c9eea1548a1c14","target":"graph","created_at":"2026-05-22T01:04:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.22561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian optimization (BO) is a widely used iterative black-box optimization method that utilizes Gaussian process (GP) surrogate models. In practice, BO is typically terminated after a fixed evaluation budget is exhausted, which can incur unnecessary cost and provides no optimality guarantee on solution quality. Recent research in developing a practical stopping criterion has made empirical progress, yet a theoretically sound stopping criterion remains a work in progress. In this work, we present provably tighter instantaneous regret bounds for GP upper confidence bound (GP-UCB) at any given ","authors_text":"Haowei Wang, Jingyi Wang, Qiyu Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T14:42:31Z","title":"Regret-Based $(\\epsilon,\\delta)$-optimal Stopping Criteria for Bayesian Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22561","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":"sha256:389a932e3c4df67d0010e30fafc138880455d31f910377814dd390b71b539b20","target":"record","created_at":"2026-05-22T01:04:57Z","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":"1f4c730254a4caf4b889d88d74c7c16a4b3410810e2bdd78e54a68bd0ae20a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T14:42:31Z","title_canon_sha256":"f82334b4f5b4c8ee3548b65b0876d625a9c0bb55e5453328bfbd9ec96e0e6830"},"schema_version":"1.0","source":{"id":"2605.22561","kind":"arxiv","version":1}},"canonical_sha256":"da66401f272fbc26310b133cf0310ebf8bb2f535e6986ba224eedb65908095f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da66401f272fbc26310b133cf0310ebf8bb2f535e6986ba224eedb65908095f5","first_computed_at":"2026-05-22T01:04:57.522158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:57.522158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PSXesf6asl+NLst/ORSwj0dI6MdRibxsoqfEbI2S8jnwBwb3ipqAwUPwG1RubysB7K0iWsxE979FAk+OJGA4CQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:57.522846Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:389a932e3c4df67d0010e30fafc138880455d31f910377814dd390b71b539b20","sha256:4ba9d5c56d7f1b617999f67aee681c72931c5c0aeb9880ecc7c9eea1548a1c14"],"state_sha256":"3e992c841a0f94fd3395e704ed8cd86dbd56abe02de8baab3408522fe6c3ca50"}