{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:2T3FPZAGDR2ZE2BK2MDEGKPQX2","short_pith_number":"pith:2T3FPZAG","canonical_record":{"source":{"id":"cond-mat/0601007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-12-31T20:17:43Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"251befec397648376ffb8af0345b44df543f6bb85b95d1598e4aa96159509415","abstract_canon_sha256":"924534993b1fd624ccf8e35e3cc62b81b6b6bed95407b2264ca69bb118f55ecc"},"schema_version":"1.0"},"canonical_sha256":"d4f657e4061c7592682ad3064329f0beb7a4e17d337f94b07ec8b035ce5792e0","source":{"kind":"arxiv","id":"cond-mat/0601007","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:2T3FPZAGDR2ZE2BK2MDEGKPQX2","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0601007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2005-12-31T20:17:43Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"251befec397648376ffb8af0345b44df543f6bb85b95d1598e4aa96159509415","abstract_canon_sha256":"924534993b1fd624ccf8e35e3cc62b81b6b6bed95407b2264ca69bb118f55ecc"},"schema_version":"1.0"},"canonical_sha256":"d4f657e4061c7592682ad3064329f0beb7a4e17d337f94b07ec8b035ce5792e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:27.158931Z","signature_b64":"WG//qYpfkfQxwmUeuTouQ3pzBjBUVFrwUhVrcbAzrheKayJMltRM/zlFzu0KZleJOdlbGu+tLQhLEgf8ArofBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4f657e4061c7592682ad3064329f0beb7a4e17d337f94b07ec8b035ce5792e0","last_reissued_at":"2026-05-18T03:14:27.158521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:27.158521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0601007","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jO5+Myf558Yhebdz8TYpFetUoV2HACYGZvmDZtGB8t8brVQbgJVntzdkCmtObwtTARpk55/U/sdoeOMcYaLAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:06:02.017814Z"},"content_sha256":"f3717219fb56ea8deefd709bdd59f883b620669249591d22eca7f5e6901fa857","schema_version":"1.0","event_id":"sha256:f3717219fb56ea8deefd709bdd59f883b620669249591d22eca7f5e6901fa857"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:2T3FPZAGDR2ZE2BK2MDEGKPQX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trap models with slowly decorrelating observables","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Peter Sollich","submitted_at":"2005-12-31T20:17:43Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0601007","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yAPvmQ7MZ9CaavXTqPbfEVFftvkHpH05x8B0kl6kHsTbAOI70ibwgMaQimAiaaFTX6edvI/H+of0Ps/EV6IRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:06:02.018169Z"},"content_sha256":"7fd3bdbdc30a92936e8f99c2d6499d50259cc2afd026ff20d4785ce1f0753882","schema_version":"1.0","event_id":"sha256:7fd3bdbdc30a92936e8f99c2d6499d50259cc2afd026ff20d4785ce1f0753882"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/bundle.json","state_url":"https://pith.science/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T21:06:02Z","links":{"resolver":"https://pith.science/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2","bundle":"https://pith.science/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/bundle.json","state":"https://pith.science/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2T3FPZAGDR2ZE2BK2MDEGKPQX2/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DP/CCMbznDdBxoDcEnpYkXQbeBcqr63NZBXGff1xrcV2SO+VpgP0fGFTO8deTttRwYNwSHz/FvWAhEBrhK1uBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:06:02.020087Z","bundle_sha256":"5f4d7f9d2787b753b770e8e047b4550cb7bb7b511b6090fdf1552050e857b90b"}}