{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WJA6B4RIEBOHVKPV5PXJCQVVQP","short_pith_number":"pith:WJA6B4RI","schema_version":"1.0","canonical_sha256":"b241e0f228205c7aa9f5ebee9142b583e0475a05c01211549c4d3c53cddf4681","source":{"kind":"arxiv","id":"2605.21000","version":1},"attestation_state":"computed","paper":{"title":"Convergence Analysis of Evolution Strategies for Mixed-Integer Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Kento Uchida, Ryoki Hamano, Shinichi Shirakawa","submitted_at":"2026-05-20T10:38:12Z","abstract_excerpt":"Mixed-integer extensions of evolution strategies (ES) that discretize selected coordinates of sampled continuous vectors often impose a lower bound on the standard deviation of integer variables to prevent premature convergence. While these methods show promising empirical results, this handling can slow the convergence of continuous variables, and its impact has lacked a clear theoretical account. In this paper, we provide a convergence analysis of evolution strategies for mixed-integer optimization, inspired by the drift analysis of the (1+1)-ES in the continuous domain. Specifically, we con"},"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":"2605.21000","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2026-05-20T10:38:12Z","cross_cats_sorted":[],"title_canon_sha256":"78a0b5778b6e2aad85996d87b595382cb5bda24f3907dfefa484d30d5df976ab","abstract_canon_sha256":"142c5f41d020b676832014e134d63ba9bfaec933a40672dd0e3a11104e997dc2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:31.771938Z","signature_b64":"RVxpAgX1wxWcJS/loyeviSfuWczDed8VENjOEuDfE2sz/9ldwbBNsDZvrCx/2KBf6yT2qdHYEW0PKpQqlko1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b241e0f228205c7aa9f5ebee9142b583e0475a05c01211549c4d3c53cddf4681","last_reissued_at":"2026-05-21T01:05:31.771409Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:31.771409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence Analysis of Evolution Strategies for Mixed-Integer Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Kento Uchida, Ryoki Hamano, Shinichi Shirakawa","submitted_at":"2026-05-20T10:38:12Z","abstract_excerpt":"Mixed-integer extensions of evolution strategies (ES) that discretize selected coordinates of sampled continuous vectors often impose a lower bound on the standard deviation of integer variables to prevent premature convergence. While these methods show promising empirical results, this handling can slow the convergence of continuous variables, and its impact has lacked a clear theoretical account. In this paper, we provide a convergence analysis of evolution strategies for mixed-integer optimization, inspired by the drift analysis of the (1+1)-ES in the continuous domain. Specifically, we con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21000","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21000/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.21000","created_at":"2026-05-21T01:05:31.771496+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.21000v1","created_at":"2026-05-21T01:05:31.771496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21000","created_at":"2026-05-21T01:05:31.771496+00:00"},{"alias_kind":"pith_short_12","alias_value":"WJA6B4RIEBOH","created_at":"2026-05-21T01:05:31.771496+00:00"},{"alias_kind":"pith_short_16","alias_value":"WJA6B4RIEBOHVKPV","created_at":"2026-05-21T01:05:31.771496+00:00"},{"alias_kind":"pith_short_8","alias_value":"WJA6B4RI","created_at":"2026-05-21T01:05:31.771496+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/WJA6B4RIEBOHVKPV5PXJCQVVQP","json":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP.json","graph_json":"https://pith.science/api/pith-number/WJA6B4RIEBOHVKPV5PXJCQVVQP/graph.json","events_json":"https://pith.science/api/pith-number/WJA6B4RIEBOHVKPV5PXJCQVVQP/events.json","paper":"https://pith.science/paper/WJA6B4RI"},"agent_actions":{"view_html":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP","download_json":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP.json","view_paper":"https://pith.science/paper/WJA6B4RI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.21000&json=true","fetch_graph":"https://pith.science/api/pith-number/WJA6B4RIEBOHVKPV5PXJCQVVQP/graph.json","fetch_events":"https://pith.science/api/pith-number/WJA6B4RIEBOHVKPV5PXJCQVVQP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP/action/storage_attestation","attest_author":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP/action/author_attestation","sign_citation":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP/action/citation_signature","submit_replication":"https://pith.science/pith/WJA6B4RIEBOHVKPV5PXJCQVVQP/action/replication_record"}},"created_at":"2026-05-21T01:05:31.771496+00:00","updated_at":"2026-05-21T01:05:31.771496+00:00"}