{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2BTAIRWY6VMUNAGZMTOD3LSSHX","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":"96696a5a1bbd30d473dd6cdf8ccaea4e252b4f150f3c66ddb1db89db3893df14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2026-05-14T13:42:52Z","title_canon_sha256":"2e091cde48c039bbb4066546c608ee86e046560fe42e276e8c6c7727e92a142a"},"schema_version":"1.0","source":{"id":"2605.14836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14836","created_at":"2026-05-17T23:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14836v1","created_at":"2026-05-17T23:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14836","created_at":"2026-05-17T23:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"2BTAIRWY6VMU","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"2BTAIRWY6VMUNAGZ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"2BTAIRWY","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:85a6cb4e257b31d5c8b949e0f33fe2bacbdd9d0af9515f2b7b3498f2403ae183","target":"graph","created_at":"2026-05-17T23:38:57Z","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"},"paper":{"abstract_excerpt":"Problems defined on binary decision spaces have been intensively studied in the theory of multi-objective evolutionary algorithms (MOEAs). In contrast, no mathematical runtime analyses exist so far for MOEAs dealing with decision variables that take a finite number $r > 2$ of values, despite the prevalence of such problems in practice. In this work, we begin to fill this research gap. We analyze how the classic SEMO algorithm with unit-strength local mutation computes the Pareto front of an $r$-valued counterpart of the classic \\oneminmax benchmark. For the expected number of function evaluati","authors_text":"Benjamin Doerr, Mingfeng Li, Weijie Zheng, Zheng Cheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2026-05-14T13:42:52Z","title":"First Mathematical Runtime Analyses of Multi-Objective Evolutionary Algorithms for Multi-Valued Decision Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14836","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:f9a4910391e93769db796e74bf7757bfb74770d91e0b943dcedffe202aa6da6f","target":"record","created_at":"2026-05-17T23:38:57Z","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":"96696a5a1bbd30d473dd6cdf8ccaea4e252b4f150f3c66ddb1db89db3893df14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2026-05-14T13:42:52Z","title_canon_sha256":"2e091cde48c039bbb4066546c608ee86e046560fe42e276e8c6c7727e92a142a"},"schema_version":"1.0","source":{"id":"2605.14836","kind":"arxiv","version":1}},"canonical_sha256":"d0660446d8f5594680d964dc3dae523def5a45561d5e6aeecfd33c5d224ac460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0660446d8f5594680d964dc3dae523def5a45561d5e6aeecfd33c5d224ac460","first_computed_at":"2026-05-17T23:38:57.990992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:38:57.990992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HJobATE5H8j/+soagFZz93UkeQOk9r7RhKfNtxGDLfOt3dLaDDCXjoCVrcF7EwR9nQc7KSvkMyZ+5QdjxI1bCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:38:57.991752Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9a4910391e93769db796e74bf7757bfb74770d91e0b943dcedffe202aa6da6f","sha256:85a6cb4e257b31d5c8b949e0f33fe2bacbdd9d0af9515f2b7b3498f2403ae183"],"state_sha256":"17c36d38dbf1bb9c7a5a921e7adf057624846411f79d58d916b08184a1f088e1"}