{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:2T3FPZAGDR2ZE2BK2MDEGKPQX2","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":"924534993b1fd624ccf8e35e3cc62b81b6b6bed95407b2264ca69bb118f55ecc","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-12-31T20:17:43Z","title_canon_sha256":"251befec397648376ffb8af0345b44df543f6bb85b95d1598e4aa96159509415"},"schema_version":"1.0","source":{"id":"cond-mat/0601007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0601007","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0601007v1","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0601007","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"2T3FPZAGDR2Z","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2T3FPZAGDR2ZE2BK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2T3FPZAG","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:7fd3bdbdc30a92936e8f99c2d6499d50259cc2afd026ff20d4785ce1f0753882","target":"graph","created_at":"2026-05-18T03:14:27Z","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 study the correlation and response dynamics of trap models of glassy dynamics, considering observables that only partially decorrelate with every jump. This is inspired by recent work on a microscopic realization of such models, which found strikingly simple linear out-of-equilibrium fluctuation-dissipation relations in the limit of slow decorrelation. For the Barrat-Mezard model with its entropic barriers we obtain exact results at zero temperature $T$ for arbitrary decorrelation factor $\\kappa$. These are then extended to nonzero $T$, where the qualitative scaling behaviour and all scalin","authors_text":"Peter Sollich","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-12-31T20:17:43Z","title":"Trap models with slowly decorrelating observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0601007","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:f3717219fb56ea8deefd709bdd59f883b620669249591d22eca7f5e6901fa857","target":"record","created_at":"2026-05-18T03:14:27Z","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":"924534993b1fd624ccf8e35e3cc62b81b6b6bed95407b2264ca69bb118f55ecc","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-12-31T20:17:43Z","title_canon_sha256":"251befec397648376ffb8af0345b44df543f6bb85b95d1598e4aa96159509415"},"schema_version":"1.0","source":{"id":"cond-mat/0601007","kind":"arxiv","version":1}},"canonical_sha256":"d4f657e4061c7592682ad3064329f0beb7a4e17d337f94b07ec8b035ce5792e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4f657e4061c7592682ad3064329f0beb7a4e17d337f94b07ec8b035ce5792e0","first_computed_at":"2026-05-18T03:14:27.158521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:27.158521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WG//qYpfkfQxwmUeuTouQ3pzBjBUVFrwUhVrcbAzrheKayJMltRM/zlFzu0KZleJOdlbGu+tLQhLEgf8ArofBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:27.158931Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0601007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3717219fb56ea8deefd709bdd59f883b620669249591d22eca7f5e6901fa857","sha256:7fd3bdbdc30a92936e8f99c2d6499d50259cc2afd026ff20d4785ce1f0753882"],"state_sha256":"a2640803459640299714e1fd4210d81530044d6feaccd30154bf48c25c48e651"}