{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2NDYZPCYIECYASEOH2IDIA5QVA","short_pith_number":"pith:2NDYZPCY","schema_version":"1.0","canonical_sha256":"d3478cbc58410580488e3e903403b0a81e24b9c50fd0103794305aa6d0f0b493","source":{"kind":"arxiv","id":"1008.3839","version":2},"attestation_state":"computed","paper":{"title":"Convergence of clock processes in random environments and ageing in the p-spin SK model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Anton Bovier, V\\'eronique Gayrard","submitted_at":"2010-08-23T15:50:55Z","abstract_excerpt":"We derive a general criterion for the convergence of clock processes in random dynamics in random environments that is applicable in cases when correlations are not negligible, extending recent results by Gayrard [(2010), (2011), forthcoming], based on general criterion for convergence of sums of dependent random variables due to Durrett and Resnick [Ann. Probab. 6 (1978) 829-846]. We demonstrate the power of this criterion by applying it to the case of random hopping time dynamics of the p-spin SK model. We prove that on a wide range of time scales, the clock process converges to a stable sub"},"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":"1008.3839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-08-23T15:50:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e839df058e4fb2c6d2e4a5c23d233e6c3cb09a63d7ae6fe6e8267cf233fd1df2","abstract_canon_sha256":"98b380ef551604b1d248b398aa3ccc6c2b238f80d4f1ddba44b402e65d31ab39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:54.064332Z","signature_b64":"m7xA5QGSUfBJujHdIMmOzssZaWT4iCH/SveHcjI8qQr9aVOA1AapCgspVWYnLWi2Gcz/xLrIcCVeAkH4Rdb5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3478cbc58410580488e3e903403b0a81e24b9c50fd0103794305aa6d0f0b493","last_reissued_at":"2026-05-18T03:30:54.063481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:54.063481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of clock processes in random environments and ageing in the p-spin SK model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Anton Bovier, V\\'eronique Gayrard","submitted_at":"2010-08-23T15:50:55Z","abstract_excerpt":"We derive a general criterion for the convergence of clock processes in random dynamics in random environments that is applicable in cases when correlations are not negligible, extending recent results by Gayrard [(2010), (2011), forthcoming], based on general criterion for convergence of sums of dependent random variables due to Durrett and Resnick [Ann. Probab. 6 (1978) 829-846]. We demonstrate the power of this criterion by applying it to the case of random hopping time dynamics of the p-spin SK model. We prove that on a wide range of time scales, the clock process converges to a stable sub"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3839","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":""},"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":"1008.3839","created_at":"2026-05-18T03:30:54.063613+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.3839v2","created_at":"2026-05-18T03:30:54.063613+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3839","created_at":"2026-05-18T03:30:54.063613+00:00"},{"alias_kind":"pith_short_12","alias_value":"2NDYZPCYIECY","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2NDYZPCYIECYASEO","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2NDYZPCY","created_at":"2026-05-18T12:26:03.138858+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/2NDYZPCYIECYASEOH2IDIA5QVA","json":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA.json","graph_json":"https://pith.science/api/pith-number/2NDYZPCYIECYASEOH2IDIA5QVA/graph.json","events_json":"https://pith.science/api/pith-number/2NDYZPCYIECYASEOH2IDIA5QVA/events.json","paper":"https://pith.science/paper/2NDYZPCY"},"agent_actions":{"view_html":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA","download_json":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA.json","view_paper":"https://pith.science/paper/2NDYZPCY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.3839&json=true","fetch_graph":"https://pith.science/api/pith-number/2NDYZPCYIECYASEOH2IDIA5QVA/graph.json","fetch_events":"https://pith.science/api/pith-number/2NDYZPCYIECYASEOH2IDIA5QVA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA/action/storage_attestation","attest_author":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA/action/author_attestation","sign_citation":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA/action/citation_signature","submit_replication":"https://pith.science/pith/2NDYZPCYIECYASEOH2IDIA5QVA/action/replication_record"}},"created_at":"2026-05-18T03:30:54.063613+00:00","updated_at":"2026-05-18T03:30:54.063613+00:00"}