{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VSPOO6X5ZZPHL6J5H33EQMEOMO","short_pith_number":"pith:VSPOO6X5","schema_version":"1.0","canonical_sha256":"ac9ee77afdce5e75f93d3ef648308e6388d42afd2c0f66387eb3a017d791650c","source":{"kind":"arxiv","id":"2412.11684","version":2},"attestation_state":"computed","paper":{"title":"Runtime Analysis for Multi-Objective Evolutionary Algorithms in Unbounded Integer Spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Benjamin Doerr, G\\\"unter Rudolph, Martin S. Krejca","submitted_at":"2024-12-16T11:53:54Z","abstract_excerpt":"Randomized search heuristics have been applied successfully to a plethora of problems. This success is complemented by a large body of theoretical results. Unfortunately, the vast majority of these results regard problems with binary or continuous decision variables -- the theoretical analysis of randomized search heuristics for unbounded integer domains is almost nonexistent. To resolve this shortcoming, we start the runtime analysis of multi-objective evolutionary algorithms, which are among the most successful randomized search heuristics, for unbounded integer search spaces. We analyze sin"},"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":"2412.11684","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-12-16T11:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"2203158543a766476cc6f85472dfb06aba83a620faab37af9877c57b21aedfeb","abstract_canon_sha256":"3305e1747cdb4c529e5a0212fa203249de8fb6e37eaea8d71dd92db4fff484db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:04.932037Z","signature_b64":"gC5kbtJBtCVHLuPkGhTfxEIrNLbMKCFZaD1u/jujb327Ev+it23qSgl/id8L1+XdPtL+oj//AiR5Rtl7olsqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac9ee77afdce5e75f93d3ef648308e6388d42afd2c0f66387eb3a017d791650c","last_reissued_at":"2026-07-05T10:51:04.931551Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:04.931551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Runtime Analysis for Multi-Objective Evolutionary Algorithms in Unbounded Integer Spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Benjamin Doerr, G\\\"unter Rudolph, Martin S. Krejca","submitted_at":"2024-12-16T11:53:54Z","abstract_excerpt":"Randomized search heuristics have been applied successfully to a plethora of problems. This success is complemented by a large body of theoretical results. Unfortunately, the vast majority of these results regard problems with binary or continuous decision variables -- the theoretical analysis of randomized search heuristics for unbounded integer domains is almost nonexistent. To resolve this shortcoming, we start the runtime analysis of multi-objective evolutionary algorithms, which are among the most successful randomized search heuristics, for unbounded integer search spaces. We analyze sin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11684","kind":"arxiv","version":2},"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/2412.11684/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":"2412.11684","created_at":"2026-07-05T10:51:04.931607+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.11684v2","created_at":"2026-07-05T10:51:04.931607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11684","created_at":"2026-07-05T10:51:04.931607+00:00"},{"alias_kind":"pith_short_12","alias_value":"VSPOO6X5ZZPH","created_at":"2026-07-05T10:51:04.931607+00:00"},{"alias_kind":"pith_short_16","alias_value":"VSPOO6X5ZZPHL6J5","created_at":"2026-07-05T10:51:04.931607+00:00"},{"alias_kind":"pith_short_8","alias_value":"VSPOO6X5","created_at":"2026-07-05T10:51:04.931607+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/VSPOO6X5ZZPHL6J5H33EQMEOMO","json":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO.json","graph_json":"https://pith.science/api/pith-number/VSPOO6X5ZZPHL6J5H33EQMEOMO/graph.json","events_json":"https://pith.science/api/pith-number/VSPOO6X5ZZPHL6J5H33EQMEOMO/events.json","paper":"https://pith.science/paper/VSPOO6X5"},"agent_actions":{"view_html":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO","download_json":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO.json","view_paper":"https://pith.science/paper/VSPOO6X5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.11684&json=true","fetch_graph":"https://pith.science/api/pith-number/VSPOO6X5ZZPHL6J5H33EQMEOMO/graph.json","fetch_events":"https://pith.science/api/pith-number/VSPOO6X5ZZPHL6J5H33EQMEOMO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO/action/storage_attestation","attest_author":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO/action/author_attestation","sign_citation":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO/action/citation_signature","submit_replication":"https://pith.science/pith/VSPOO6X5ZZPHL6J5H33EQMEOMO/action/replication_record"}},"created_at":"2026-07-05T10:51:04.931607+00:00","updated_at":"2026-07-05T10:51:04.931607+00:00"}