{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EMAVQE72YMN4KUUTGLM7VLZGOO","short_pith_number":"pith:EMAVQE72","schema_version":"1.0","canonical_sha256":"23015813fac31bc5529332d9faaf267392a1224adff1177acf31c991f29984b4","source":{"kind":"arxiv","id":"2605.14681","version":1},"attestation_state":"computed","paper":{"title":"Lower bound on the mixing time of $p$-spin glasses","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Anouar Kouraich, Simone Warzel","submitted_at":"2026-05-14T10:52:06Z","abstract_excerpt":"We show that Glauber dynamics for $ p$-spin glass mixes exponentially slowly at inverse temperatures larger than a constant times $ \\ln (p)/p $ for large enough $ p $. This is done by analyzing the energy landscape using Gaussian decompositions and establishing a bottleneck bound."},"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":"2605.14681","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-14T10:52:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b1dbb119aa02ecf535a43c16ead476b4f63a4e407d59d7368bbbc4fc64c8b6fb","abstract_canon_sha256":"9a8c38276548c1ebf3e99b69de38bf07ec553b194cf904ea6d72af5b756c3253"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:01.986353Z","signature_b64":"R0NsjWooCbXoKTUo5R0Kkz5Mpg48KQc9tkR0HLI4UrZkrEZjp1Aeoj0mGCYzUiDNa6fxj+U7+TnVpaV5DR7pDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23015813fac31bc5529332d9faaf267392a1224adff1177acf31c991f29984b4","last_reissued_at":"2026-05-17T23:39:01.985558Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:01.985558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lower bound on the mixing time of $p$-spin glasses","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Anouar Kouraich, Simone Warzel","submitted_at":"2026-05-14T10:52:06Z","abstract_excerpt":"We show that Glauber dynamics for $ p$-spin glass mixes exponentially slowly at inverse temperatures larger than a constant times $ \\ln (p)/p $ for large enough $ p $. This is done by analyzing the energy landscape using Gaussian decompositions and establishing a bottleneck bound."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14681","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":""},"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":"2605.14681","created_at":"2026-05-17T23:39:01.985687+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.14681v1","created_at":"2026-05-17T23:39:01.985687+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14681","created_at":"2026-05-17T23:39:01.985687+00:00"},{"alias_kind":"pith_short_12","alias_value":"EMAVQE72YMN4","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"EMAVQE72YMN4KUUT","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"EMAVQE72","created_at":"2026-05-18T12:33:37.589309+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/EMAVQE72YMN4KUUTGLM7VLZGOO","json":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO.json","graph_json":"https://pith.science/api/pith-number/EMAVQE72YMN4KUUTGLM7VLZGOO/graph.json","events_json":"https://pith.science/api/pith-number/EMAVQE72YMN4KUUTGLM7VLZGOO/events.json","paper":"https://pith.science/paper/EMAVQE72"},"agent_actions":{"view_html":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO","download_json":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO.json","view_paper":"https://pith.science/paper/EMAVQE72","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.14681&json=true","fetch_graph":"https://pith.science/api/pith-number/EMAVQE72YMN4KUUTGLM7VLZGOO/graph.json","fetch_events":"https://pith.science/api/pith-number/EMAVQE72YMN4KUUTGLM7VLZGOO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO/action/storage_attestation","attest_author":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO/action/author_attestation","sign_citation":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO/action/citation_signature","submit_replication":"https://pith.science/pith/EMAVQE72YMN4KUUTGLM7VLZGOO/action/replication_record"}},"created_at":"2026-05-17T23:39:01.985687+00:00","updated_at":"2026-05-17T23:39:01.985687+00:00"}