{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MJ53SV6VECMLDTJWEC7BVW6PTF","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":"8cf376818490743ea9c8ca5b2b878b78ba9f55e2e5161d423fc1295d801d1fb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-03-20T06:32:51Z","title_canon_sha256":"6e5bf70c3592232d84bef720f5696e0067a7b20ba22c10cb1bb5f05808645afe"},"schema_version":"1.0","source":{"id":"2103.11113","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.11113","created_at":"2026-07-05T02:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"2103.11113v1","created_at":"2026-07-05T02:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.11113","created_at":"2026-07-05T02:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"MJ53SV6VECML","created_at":"2026-07-05T02:24:57Z"},{"alias_kind":"pith_short_16","alias_value":"MJ53SV6VECMLDTJW","created_at":"2026-07-05T02:24:57Z"},{"alias_kind":"pith_short_8","alias_value":"MJ53SV6V","created_at":"2026-07-05T02:24:57Z"}],"graph_snapshots":[{"event_id":"sha256:21bd2af207cda756caab96d4a244b906bdf7f8a4ab7ca774204631bdd9f3f08a","target":"graph","created_at":"2026-07-05T02:24:57Z","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/2103.11113/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optimization algorithms, easy to use and implement, flexible and assumption-free. A common drawback of these algorithms is premature convergence and the solution found is not a global optimum. We provide sufficient conditions for an algorithm to converge almost surely (a.s.) to a global optimum. We then propose a general, simple and effective strategy, called Perturbation-Projection (PP), to enhance an algorithm's explora","authors_text":"Enzio Hai Hong Kam, Kwok Pui Choi, Tze Leung Lai, Weng Kee Wong, Xin T. Tong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-03-20T06:32:51Z","title":"Exploration Enhancement of Nature-Inspired Swarm-based Optimization Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.11113","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:bb6f93378287175881d97f187f483290b66123bee2b73078e70144a674baf882","target":"record","created_at":"2026-07-05T02:24:57Z","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":"8cf376818490743ea9c8ca5b2b878b78ba9f55e2e5161d423fc1295d801d1fb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-03-20T06:32:51Z","title_canon_sha256":"6e5bf70c3592232d84bef720f5696e0067a7b20ba22c10cb1bb5f05808645afe"},"schema_version":"1.0","source":{"id":"2103.11113","kind":"arxiv","version":1}},"canonical_sha256":"627bb957d52098b1cd3620be1adbcf997e7a2109a1768e5ea9ebd104f0e27d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"627bb957d52098b1cd3620be1adbcf997e7a2109a1768e5ea9ebd104f0e27d23","first_computed_at":"2026-07-05T02:24:57.030142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:57.030142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ORWpBIaErmfgX8knU11GMg6C8LeNxReMRWvgqBah2aFaoC/PkQRf4c1AyUHPgWBixqDQ0WpiEm6oo/aQhsSbDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:57.030488Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.11113","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb6f93378287175881d97f187f483290b66123bee2b73078e70144a674baf882","sha256:21bd2af207cda756caab96d4a244b906bdf7f8a4ab7ca774204631bdd9f3f08a"],"state_sha256":"27023406da493439be20e580aad3ff3804fbae1dce5f49722ac027976f1ecfe0"}