{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:P6F4HMWRLDDBYDZYPPLOCS6QG6","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":"1dbebdd0be26796cd84aec5175f2ab1ea1c84ebfdaecb46fa83575d39418dacb","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-08-26T15:24:38Z","title_canon_sha256":"5255ebffc2a4e94b53acd8dae6bccfa290dc4cac945c64cca7873415aa87eeef"},"schema_version":"1.0","source":{"id":"1908.09731","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09731","created_at":"2026-07-05T00:48:42Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09731v2","created_at":"2026-07-05T00:48:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09731","created_at":"2026-07-05T00:48:42Z"},{"alias_kind":"pith_short_12","alias_value":"P6F4HMWRLDDB","created_at":"2026-07-05T00:48:42Z"},{"alias_kind":"pith_short_16","alias_value":"P6F4HMWRLDDBYDZY","created_at":"2026-07-05T00:48:42Z"},{"alias_kind":"pith_short_8","alias_value":"P6F4HMWR","created_at":"2026-07-05T00:48:42Z"}],"graph_snapshots":[{"event_id":"sha256:90deb4ed1dd34c2c3128e89ed0e2ddf0c9480c4daab23c39b92215460ba4dd06","target":"graph","created_at":"2026-07-05T00:48:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.09731/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Work statistics characterizes important features of a non-equilibrium thermodynamic process. But the calculation of the work statistics in an arbitrary non-equilibrium process is usually a cumbersome task. In this work, we study the work statistics in quantum systems by employing Feynman's path-integral approach. We derive the analytical work distributions of two prototype quantum systems. The results are proved to be equivalent to the results obtained based on Schr\\\"{o}dinger's formalism. We also calculate the work distributions in their classical counterparts by employing the path-integral a","authors_text":"H. T. Quan, Rui Pan, Tian Qiu, Zhaoyu Fei","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-08-26T15:24:38Z","title":"Path integral approach to the calculation of the characteristic function of work"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09731","kind":"arxiv","version":2},"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:f41db8f2ac46b10fcb366048f6bae5df1e9e0633085640f94d679fdc6b26ba4b","target":"record","created_at":"2026-07-05T00:48:42Z","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":"1dbebdd0be26796cd84aec5175f2ab1ea1c84ebfdaecb46fa83575d39418dacb","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-08-26T15:24:38Z","title_canon_sha256":"5255ebffc2a4e94b53acd8dae6bccfa290dc4cac945c64cca7873415aa87eeef"},"schema_version":"1.0","source":{"id":"1908.09731","kind":"arxiv","version":2}},"canonical_sha256":"7f8bc3b2d158c61c0f387bd6e14bd0379b5dcac6c2280afbac23d645a6652b5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f8bc3b2d158c61c0f387bd6e14bd0379b5dcac6c2280afbac23d645a6652b5d","first_computed_at":"2026-07-05T00:48:42.913073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:48:42.913073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zSX5SUSbQPtY3KFwFUNIDF4I2eKJod+Qvx5ltWv4mQrvXQ9ZAWIBDjzwtBss7GJ3E0PzPQXfCq4/k3jAtLKJBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:48:42.913569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.09731","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f41db8f2ac46b10fcb366048f6bae5df1e9e0633085640f94d679fdc6b26ba4b","sha256:90deb4ed1dd34c2c3128e89ed0e2ddf0c9480c4daab23c39b92215460ba4dd06"],"state_sha256":"ecf2c5dcb367804405daca39d2a0c4b845bdd8f99bc5ceee1ff8d08e1525798e"}