{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QL5EHFTEEUDUSXHPWH2RSCY3LK","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":"1452b5d7b3fb56aa6cdeffa0ba7a8f867da02ac843001c6081e2920c1f3a2f70","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-01T18:36:38Z","title_canon_sha256":"1374d0ae4f144ca9e74fd489de2be829b4776a1cdfc92fd3013c8cbc5e435a21"},"schema_version":"1.0","source":{"id":"1806.00504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00504","created_at":"2026-05-18T00:14:21Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00504v1","created_at":"2026-05-18T00:14:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00504","created_at":"2026-05-18T00:14:21Z"},{"alias_kind":"pith_short_12","alias_value":"QL5EHFTEEUDU","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QL5EHFTEEUDUSXHP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QL5EHFTE","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:0391a54866aed591000ff37c9da1cbdd4adf0eeb27659961c0f4a2982304fd66","target":"graph","created_at":"2026-05-18T00:14:21Z","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":"Non-equilibrium steady states (NESS) describe particularly simple and stationary non-equilibrium situations. A possibility to obtain such states is to consider the asymptotic evolution of two infinite heat baths brought into thermal contact. In this work we generalise corresponding results of Doyon~et.~al. (J.\\ Phys.\\ A 18 (2015) no.9) for free Klein-Gordon fields in several directions. Our analysis is carried out directly at the level of correlation functions and in the algebraic approach to QFT. We discuss non-trivial chemical potentials, condensates, inhomogeneous linear models and homogene","authors_text":"Rainer Verch, Thomas-Paul Hack","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-01T18:36:38Z","title":"Non-equilibrium steady states for the interacting Klein-Gordon field in 1+3 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00504","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":"sha256:36c9845009ef10bd5eff55cda9533677ef993316d587a262923319c4c3aadfa9","target":"record","created_at":"2026-05-18T00:14:21Z","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":"1452b5d7b3fb56aa6cdeffa0ba7a8f867da02ac843001c6081e2920c1f3a2f70","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-01T18:36:38Z","title_canon_sha256":"1374d0ae4f144ca9e74fd489de2be829b4776a1cdfc92fd3013c8cbc5e435a21"},"schema_version":"1.0","source":{"id":"1806.00504","kind":"arxiv","version":1}},"canonical_sha256":"82fa4396642507495cefb1f5190b1b5a837360eb1a8d53ccdfe7f752ebfe509a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82fa4396642507495cefb1f5190b1b5a837360eb1a8d53ccdfe7f752ebfe509a","first_computed_at":"2026-05-18T00:14:21.044595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:21.044595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHqbS90bgsSZEG+vNvOZczABcLsalGD96E03MM1G7n3YXtVrEdzgk75EB+nADpI4UgpaziLj6NYnkRc5Wkz4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:21.045305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36c9845009ef10bd5eff55cda9533677ef993316d587a262923319c4c3aadfa9","sha256:0391a54866aed591000ff37c9da1cbdd4adf0eeb27659961c0f4a2982304fd66"],"state_sha256":"cdfa5c8e642706536fb732811488082b52ad64d3b5c3fad218c25065189b9bd4"}