{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UZNHMTUDC5YDNGYHINPMAU5IFK","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":"42faeca13bc3b8d6fbd28e3f898670ed4fdff63fd115e2c1be5a8a2212866595","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-11T17:21:55Z","title_canon_sha256":"933f6d50208f81e1bde8658429bd455952cf5de573d8329779d604e21e2d85a5"},"schema_version":"1.0","source":{"id":"1810.05129","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.05129","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1810.05129v3","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.05129","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"UZNHMTUDC5YD","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UZNHMTUDC5YDNGYH","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UZNHMTUD","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:3103ade55950e56436c814a1dd627e3b3d4a42fa7ce66b3eb6feec292ec66501","target":"graph","created_at":"2026-05-17T23:41:30Z","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":"We prove an algorithmic hardness result for finding low-energy states in the so-called \\emph{continuous random energy model (CREM)}, introduced by Bovier and Kurkova in 2004 as an extension of Derrida's \\emph{generalized random energy model}. The CREM is a model of a random energy landscape $(X_v)_{v \\in \\{0,1\\}^N}$ on the discrete hypercube with built-in hierarchical structure, and can be regarded as a toy model for strongly correlated random energy landscapes such as the family of $p$-spin models including the Sherrington--Kirkpatrick model. The CREM is parameterized by an increasing functio","authors_text":"Louigi Addario-Berry, Pascal Maillard","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","cs.CC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-11T17:21:55Z","title":"The algorithmic hardness threshold for continuous random energy models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05129","kind":"arxiv","version":3},"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:dbea0cc8503cb564774880988f66d9bc85ff50b05f02d3aa3254016fffa34529","target":"record","created_at":"2026-05-17T23:41:30Z","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":"42faeca13bc3b8d6fbd28e3f898670ed4fdff63fd115e2c1be5a8a2212866595","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-10-11T17:21:55Z","title_canon_sha256":"933f6d50208f81e1bde8658429bd455952cf5de573d8329779d604e21e2d85a5"},"schema_version":"1.0","source":{"id":"1810.05129","kind":"arxiv","version":3}},"canonical_sha256":"a65a764e831770369b07435ec053a82ab5165cd8562c0484085cb2de739d232a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a65a764e831770369b07435ec053a82ab5165cd8562c0484085cb2de739d232a","first_computed_at":"2026-05-17T23:41:30.983571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:30.983571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LkSG5adiECQQ+vLVm30eMxM1YfNiA2mHfBevGmh3BnQSmVHrGvoJ+YiQblTULnjWiFfIIZyqrdg5XiW50y/IBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:30.984294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.05129","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbea0cc8503cb564774880988f66d9bc85ff50b05f02d3aa3254016fffa34529","sha256:3103ade55950e56436c814a1dd627e3b3d4a42fa7ce66b3eb6feec292ec66501"],"state_sha256":"1416216947d227f0d40c0c28c0cb13abcb4c0678e448586385c72e909b3f674b"}