{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:D5XOFHY42XJRXLFFP6Y3NLRXF3","short_pith_number":"pith:D5XOFHY4","canonical_record":{"source":{"id":"1204.0859","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-04T03:52:58Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"54dae8603db1a8cc786e9c534f2f21a6f6bc2ddb9ba0edff5c24bbc6ca3b48ee","abstract_canon_sha256":"2a607c91f7f710cca4cac02d814f3023176e2c85585bb9344af2ba4a6e999118"},"schema_version":"1.0"},"canonical_sha256":"1f6ee29f1cd5d31baca57fb1b6ae372efb4f0ee59a29a5d98f2f1e33b0b6147d","source":{"kind":"arxiv","id":"1204.0859","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0859","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0859v3","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0859","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"pith_short_12","alias_value":"D5XOFHY42XJR","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D5XOFHY42XJRXLFF","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D5XOFHY4","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:D5XOFHY42XJRXLFFP6Y3NLRXF3","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0859","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-04T03:52:58Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"54dae8603db1a8cc786e9c534f2f21a6f6bc2ddb9ba0edff5c24bbc6ca3b48ee","abstract_canon_sha256":"2a607c91f7f710cca4cac02d814f3023176e2c85585bb9344af2ba4a6e999118"},"schema_version":"1.0"},"canonical_sha256":"1f6ee29f1cd5d31baca57fb1b6ae372efb4f0ee59a29a5d98f2f1e33b0b6147d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:11.574826Z","signature_b64":"FUQ8N16VyYlMq04qiEOp6Gbl3igigqUOpFgoa1w5BamYF0OdgVHr/4UIol2qnIU1vvODLIS+9pyfKV8mZ16hAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f6ee29f1cd5d31baca57fb1b6ae372efb4f0ee59a29a5d98f2f1e33b0b6147d","last_reissued_at":"2026-05-18T03:42:11.574088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:11.574088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0859","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:42:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D3lSq3sCdnDlwe9YrC2T5Mz56RtewfnyJJONgULWpmd3TVlvvPgNehyToKDon8A5N2BTGy9l6pieAAsgruvDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:37:39.300957Z"},"content_sha256":"b635e85d9eb4ffb7653cbe475392d740837c28fe5eb406f8f41ad084c389a919","schema_version":"1.0","event_id":"sha256:b635e85d9eb4ffb7653cbe475392d740837c28fe5eb406f8f41ad084c389a919"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:D5XOFHY42XJRXLFFP6Y3NLRXF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.stat-mech","authors_text":"Baowen Li, Jie Ren, Sha Liu","submitted_at":"2012-04-04T03:52:58Z","abstract_excerpt":"We study classical heat conduction in a dissipative open system composed of interacting oscillators. By exactly solving a twisted Fokker-Planck equation which describes the full counting statistics of heat flux flowing through the system, we identify the geometric-phase-like effect and examine its impact on the classical heat transport. Particularly, we find that the nonlinear interaction as well as the closely related temperature-dependence of system-parameters are crucial in manifesting the geometric-phase contribution of heat flux. Finally, we propose an electronic experiment based on RC ci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0859","kind":"arxiv","version":3},"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":"2026-05-18T03:42:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/bj2iOYzNoJwWSpwkudv0D7N1kWrBbzMMtd8/XwjfwRabviaGsTy7XMuHnP1etYTyE68p3FkuXVIXmo28vVJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:37:39.301681Z"},"content_sha256":"7bcdbac5409166b17b4d6d3e063a86cfbaf916dd03a1a0ae56a8c1c5389d6cfd","schema_version":"1.0","event_id":"sha256:7bcdbac5409166b17b4d6d3e063a86cfbaf916dd03a1a0ae56a8c1c5389d6cfd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/bundle.json","state_url":"https://pith.science/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/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":"2026-05-30T21:37:39Z","links":{"resolver":"https://pith.science/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3","bundle":"https://pith.science/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/bundle.json","state":"https://pith.science/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5XOFHY42XJRXLFFP6Y3NLRXF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:D5XOFHY42XJRXLFFP6Y3NLRXF3","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":"2a607c91f7f710cca4cac02d814f3023176e2c85585bb9344af2ba4a6e999118","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-04T03:52:58Z","title_canon_sha256":"54dae8603db1a8cc786e9c534f2f21a6f6bc2ddb9ba0edff5c24bbc6ca3b48ee"},"schema_version":"1.0","source":{"id":"1204.0859","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0859","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0859v3","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0859","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"pith_short_12","alias_value":"D5XOFHY42XJR","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D5XOFHY42XJRXLFF","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D5XOFHY4","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:7bcdbac5409166b17b4d6d3e063a86cfbaf916dd03a1a0ae56a8c1c5389d6cfd","target":"graph","created_at":"2026-05-18T03:42:11Z","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 classical heat conduction in a dissipative open system composed of interacting oscillators. By exactly solving a twisted Fokker-Planck equation which describes the full counting statistics of heat flux flowing through the system, we identify the geometric-phase-like effect and examine its impact on the classical heat transport. Particularly, we find that the nonlinear interaction as well as the closely related temperature-dependence of system-parameters are crucial in manifesting the geometric-phase contribution of heat flux. Finally, we propose an electronic experiment based on RC ci","authors_text":"Baowen Li, Jie Ren, Sha Liu","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-04T03:52:58Z","title":"Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0859","kind":"arxiv","version":3},"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:b635e85d9eb4ffb7653cbe475392d740837c28fe5eb406f8f41ad084c389a919","target":"record","created_at":"2026-05-18T03:42:11Z","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":"2a607c91f7f710cca4cac02d814f3023176e2c85585bb9344af2ba4a6e999118","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-04T03:52:58Z","title_canon_sha256":"54dae8603db1a8cc786e9c534f2f21a6f6bc2ddb9ba0edff5c24bbc6ca3b48ee"},"schema_version":"1.0","source":{"id":"1204.0859","kind":"arxiv","version":3}},"canonical_sha256":"1f6ee29f1cd5d31baca57fb1b6ae372efb4f0ee59a29a5d98f2f1e33b0b6147d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f6ee29f1cd5d31baca57fb1b6ae372efb4f0ee59a29a5d98f2f1e33b0b6147d","first_computed_at":"2026-05-18T03:42:11.574088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:11.574088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FUQ8N16VyYlMq04qiEOp6Gbl3igigqUOpFgoa1w5BamYF0OdgVHr/4UIol2qnIU1vvODLIS+9pyfKV8mZ16hAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:11.574826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0859","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b635e85d9eb4ffb7653cbe475392d740837c28fe5eb406f8f41ad084c389a919","sha256:7bcdbac5409166b17b4d6d3e063a86cfbaf916dd03a1a0ae56a8c1c5389d6cfd"],"state_sha256":"ef4399b497620b3c04b1ce22730356250a6f9a850a62cb53dd7f32ecce6a3760"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJ3Gl71HZiSL97Muusecj1Jx5hI5Q2D/2zSj/CNN06bkZJvvPvE9ZkiKCy8g0izVuYY3czlpcsYBtEXvplPwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T21:37:39.305176Z","bundle_sha256":"affc9962958082462611f1da1a93b6511c39b2f20ad2f94f397a0d7975e237c2"}}