{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q2TOAXWG7FBNESBNMSESDEHH5N","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":"3397c191ef32602c3eefc45a31c2ca4563ee7821c8b9184cbe22a271cd44e952","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-14T19:28:46Z","title_canon_sha256":"1b79782bb1d24c70e64f8d0c1a4bd975b4cb3ef679bd240d808c7b58e113d8ff"},"schema_version":"1.0","source":{"id":"1101.2877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2877","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2877v1","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2877","created_at":"2026-05-18T02:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"Q2TOAXWG7FBN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q2TOAXWG7FBNESBN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q2TOAXWG","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:64db53ff7c4328d7c3a2292144a47f6d0595b345d8b938754db6225be9462b91","target":"graph","created_at":"2026-05-18T02:03:39Z","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 Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local equilibrium measure in terms of the strength of coupling. For three and four site systems, we obtain the two-point correlation function and show it is generically not multilinear.","authors_text":"Frank Redig, Kiamars Vafayi","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-14T19:28:46Z","title":"Weak coupling limits in a stochastic model of heat conduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2877","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:b4784e2ce34cd65a2fd4155496b6a3d6377557fc6abe99432276a4d0ba3b9b04","target":"record","created_at":"2026-05-18T02:03:39Z","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":"3397c191ef32602c3eefc45a31c2ca4563ee7821c8b9184cbe22a271cd44e952","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-01-14T19:28:46Z","title_canon_sha256":"1b79782bb1d24c70e64f8d0c1a4bd975b4cb3ef679bd240d808c7b58e113d8ff"},"schema_version":"1.0","source":{"id":"1101.2877","kind":"arxiv","version":1}},"canonical_sha256":"86a6e05ec6f942d2482d64892190e7eb4cb14d0efc5d87d845f041f6862c3208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86a6e05ec6f942d2482d64892190e7eb4cb14d0efc5d87d845f041f6862c3208","first_computed_at":"2026-05-18T02:03:39.886759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:39.886759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCkp50J3TPWb/P0lL3K29znGDyiRq36P30mMrcCMEKqzrLWiGWTX5Oy5pQ7MeOYlszD/XPbr7RuXkuC/0bbQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:39.887370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4784e2ce34cd65a2fd4155496b6a3d6377557fc6abe99432276a4d0ba3b9b04","sha256:64db53ff7c4328d7c3a2292144a47f6d0595b345d8b938754db6225be9462b91"],"state_sha256":"420ec388ef9392974b622a9174ffcac5c042d7cd42500ace9905a660390e9437"}