{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7AQRVVNLKGSCK4ADH5TLHXQOIU","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":"fbce45d4140e34e9811cbb27cd2fda0ed3771a0e54a2befc39967a8c65dea527","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-03T09:48:51Z","title_canon_sha256":"13c3d9f96549907886cd4fcea18e1b33e1846fee95a144f7d6ac033fb5dc8120"},"schema_version":"1.0","source":{"id":"1808.01137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01137","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01137v1","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01137","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"pith_short_12","alias_value":"7AQRVVNLKGSC","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7AQRVVNLKGSCK4AD","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7AQRVVNL","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:143d9f018e2d4dbd2ef1b55a8e9cbb1888b18003aa4853255e9391f1c23539db","target":"graph","created_at":"2026-05-18T00:08:58Z","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":"Hillclimbing is an essential part of any optimization algorithm. An important benchmark for hillclimbing algorithms on pseudo-Boolean functions $f: \\{0,1\\}^n \\to \\mathbb{R}$ are (strictly) montone functions, on which a surprising number of hillclimbers fail to be efficient. For example, the $(1+1)$-Evolutionary Algorithm is a standard hillclimber which flips each bit independently with probability $c/n$ in each round. Perhaps surprisingly, this algorithm shows a phase transition: it optimizes any monotone pseudo-boolean function in quasilinear time if $c<1$, but there are monotone functions fo","authors_text":"Anders Martinsson, Angelika Steger, Johannes Lengler","cross_cats":["cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-03T09:48:51Z","title":"When Does Hillclimbing Fail on Monotone Functions: An entropy compression argument"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01137","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":"sha256:977607012378e46a9d4c164510e051e87935519a89d92d02f7cb830e970acf0c","target":"record","created_at":"2026-05-18T00:08:58Z","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":"fbce45d4140e34e9811cbb27cd2fda0ed3771a0e54a2befc39967a8c65dea527","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-03T09:48:51Z","title_canon_sha256":"13c3d9f96549907886cd4fcea18e1b33e1846fee95a144f7d6ac033fb5dc8120"},"schema_version":"1.0","source":{"id":"1808.01137","kind":"arxiv","version":1}},"canonical_sha256":"f8211ad5ab51a42570033f66b3de0e45151932c202122921fcbd6c0211305e13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8211ad5ab51a42570033f66b3de0e45151932c202122921fcbd6c0211305e13","first_computed_at":"2026-05-18T00:08:58.897143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:58.897143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Qlau2thNpPnBmzBOSkdvgRSREFHJPoTn1sLHRsFqG2BUAXGHUmRgHQ+PaG4lRFjHfk5WsGZX05NzuZl7KNrDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:58.897772Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:977607012378e46a9d4c164510e051e87935519a89d92d02f7cb830e970acf0c","sha256:143d9f018e2d4dbd2ef1b55a8e9cbb1888b18003aa4853255e9391f1c23539db"],"state_sha256":"d0db6a394426f66d6593a8cc5c80931044af2d6f64a450d79d2df26dc3213d22"}