{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EQZE53UVAIRWCWXN3YOJD5Q3R6","short_pith_number":"pith:EQZE53UV","canonical_record":{"source":{"id":"1703.07445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-21T21:47:21Z","cross_cats_sorted":[],"title_canon_sha256":"559b13f9e61b3e009f9210fe09f7e7535025b94aee44208dd9c6853ceba2770c","abstract_canon_sha256":"eb8e57039420e91e1aaa20419f64efefc7d8f81b07358fe78770781661662864"},"schema_version":"1.0"},"canonical_sha256":"24324eee950223615aedde1c91f61b8f8a5e1bfbfeea966e0334fa5441ef06d3","source":{"kind":"arxiv","id":"1703.07445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07445","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07445v1","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07445","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"EQZE53UVAIRW","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EQZE53UVAIRWCWXN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EQZE53UV","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EQZE53UVAIRWCWXN3YOJD5Q3R6","target":"record","payload":{"canonical_record":{"source":{"id":"1703.07445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-21T21:47:21Z","cross_cats_sorted":[],"title_canon_sha256":"559b13f9e61b3e009f9210fe09f7e7535025b94aee44208dd9c6853ceba2770c","abstract_canon_sha256":"eb8e57039420e91e1aaa20419f64efefc7d8f81b07358fe78770781661662864"},"schema_version":"1.0"},"canonical_sha256":"24324eee950223615aedde1c91f61b8f8a5e1bfbfeea966e0334fa5441ef06d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:41.266702Z","signature_b64":"5EE27q/iVGBA23cfIdMxq/5JW36CWXykHsidoY4jIVK22NqJWeTAcsO2/3EAhwkvha7vuDekkIh9htQ7a6jyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24324eee950223615aedde1c91f61b8f8a5e1bfbfeea966e0334fa5441ef06d3","last_reissued_at":"2026-05-18T00:45:41.266231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:41.266231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.07445","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":"2026-05-18T00:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fKUw9XBkVFbapFI3tEAPaCPfpgH1RhXWAvJ3vjgQTmIEqTqb2P7WVozz/VUIunxZt3bD7enYrrSd/DYxVGGTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T18:11:34.335661Z"},"content_sha256":"0d13908687a69a0bbd46786fcba755d690b0f2c9349f8481f1be26dfa3057981","schema_version":"1.0","event_id":"sha256:0d13908687a69a0bbd46786fcba755d690b0f2c9349f8481f1be26dfa3057981"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EQZE53UVAIRWCWXN3YOJD5Q3R6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heat transport along a chain of coupled quantum harmonic oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Mario J. de Oliveira","submitted_at":"2017-03-21T21:47:21Z","abstract_excerpt":"We study the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density operator which is a canonical quantization of the classical Fokker-Planck-Kramers equation. We set up the evolution equation for the covariances and obtain the stationary covariances at the stationary states from which we determine the thermal conductance in closed form when the interparticle interaction is small. The conductance is finite in the thermodynamic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07445","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":"2026-05-18T00:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EYM05alqAd8mZAcHhTRdnSsmDTz/5CmqC7OWErYMqJkxhi54Az7z63MHBoy0H8mhoUodn6Wv4dvoJVt2wWtNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T18:11:34.335989Z"},"content_sha256":"be4f4d059a8c2f1e0793eab8235965126e7bf4ea4287617aaf55e8db10d59439","schema_version":"1.0","event_id":"sha256:be4f4d059a8c2f1e0793eab8235965126e7bf4ea4287617aaf55e8db10d59439"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/bundle.json","state_url":"https://pith.science/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/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":"2026-06-26T18:11:34Z","links":{"resolver":"https://pith.science/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6","bundle":"https://pith.science/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/bundle.json","state":"https://pith.science/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQZE53UVAIRWCWXN3YOJD5Q3R6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EQZE53UVAIRWCWXN3YOJD5Q3R6","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":"eb8e57039420e91e1aaa20419f64efefc7d8f81b07358fe78770781661662864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-21T21:47:21Z","title_canon_sha256":"559b13f9e61b3e009f9210fe09f7e7535025b94aee44208dd9c6853ceba2770c"},"schema_version":"1.0","source":{"id":"1703.07445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07445","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07445v1","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07445","created_at":"2026-05-18T00:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"EQZE53UVAIRW","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EQZE53UVAIRWCWXN","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EQZE53UV","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:be4f4d059a8c2f1e0793eab8235965126e7bf4ea4287617aaf55e8db10d59439","target":"graph","created_at":"2026-05-18T00:45:41Z","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 heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density operator which is a canonical quantization of the classical Fokker-Planck-Kramers equation. We set up the evolution equation for the covariances and obtain the stationary covariances at the stationary states from which we determine the thermal conductance in closed form when the interparticle interaction is small. The conductance is finite in the thermodynamic","authors_text":"Mario J. de Oliveira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-21T21:47:21Z","title":"Heat transport along a chain of coupled quantum harmonic oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07445","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":"sha256:0d13908687a69a0bbd46786fcba755d690b0f2c9349f8481f1be26dfa3057981","target":"record","created_at":"2026-05-18T00:45:41Z","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":"eb8e57039420e91e1aaa20419f64efefc7d8f81b07358fe78770781661662864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-21T21:47:21Z","title_canon_sha256":"559b13f9e61b3e009f9210fe09f7e7535025b94aee44208dd9c6853ceba2770c"},"schema_version":"1.0","source":{"id":"1703.07445","kind":"arxiv","version":1}},"canonical_sha256":"24324eee950223615aedde1c91f61b8f8a5e1bfbfeea966e0334fa5441ef06d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24324eee950223615aedde1c91f61b8f8a5e1bfbfeea966e0334fa5441ef06d3","first_computed_at":"2026-05-18T00:45:41.266231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:41.266231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5EE27q/iVGBA23cfIdMxq/5JW36CWXykHsidoY4jIVK22NqJWeTAcsO2/3EAhwkvha7vuDekkIh9htQ7a6jyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:41.266702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d13908687a69a0bbd46786fcba755d690b0f2c9349f8481f1be26dfa3057981","sha256:be4f4d059a8c2f1e0793eab8235965126e7bf4ea4287617aaf55e8db10d59439"],"state_sha256":"43b7cfefc66468f01723c172d3c1a3a4cea660c0bfb4cad857599e7edd7d73a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hPlg6mHM6wgEjRm2eusJuCBciKm08YU1K151mAbRSpPG/dPLmqSe68iTRI+iAyPnJHBVjvO3nYx5R/czBEb2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T18:11:34.337960Z","bundle_sha256":"b20a397c8cd19bdc274bab4e04a366d6c7c8ba57bf67c1ddf472fb74ddffe825"}}