{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:P6F4HMWRLDDBYDZYPPLOCS6QG6","short_pith_number":"pith:P6F4HMWR","schema_version":"1.0","canonical_sha256":"7f8bc3b2d158c61c0f387bd6e14bd0379b5dcac6c2280afbac23d645a6652b5d","source":{"kind":"arxiv","id":"1908.09731","version":2},"attestation_state":"computed","paper":{"title":"Path integral approach to the calculation of the characteristic function of work","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. T. Quan, Rui Pan, Tian Qiu, Zhaoyu Fei","submitted_at":"2019-08-26T15:24:38Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.09731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-08-26T15:24:38Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"5255ebffc2a4e94b53acd8dae6bccfa290dc4cac945c64cca7873415aa87eeef","abstract_canon_sha256":"1dbebdd0be26796cd84aec5175f2ab1ea1c84ebfdaecb46fa83575d39418dacb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:42.913569Z","signature_b64":"zSX5SUSbQPtY3KFwFUNIDF4I2eKJod+Qvx5ltWv4mQrvXQ9ZAWIBDjzwtBss7GJ3E0PzPQXfCq4/k3jAtLKJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f8bc3b2d158c61c0f387bd6e14bd0379b5dcac6c2280afbac23d645a6652b5d","last_reissued_at":"2026-07-05T00:48:42.913073Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:42.913073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path integral approach to the calculation of the characteristic function of work","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. T. Quan, Rui Pan, Tian Qiu, Zhaoyu Fei","submitted_at":"2019-08-26T15:24:38Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09731","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.09731/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.09731","created_at":"2026-07-05T00:48:42.913134+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.09731v2","created_at":"2026-07-05T00:48:42.913134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09731","created_at":"2026-07-05T00:48:42.913134+00:00"},{"alias_kind":"pith_short_12","alias_value":"P6F4HMWRLDDB","created_at":"2026-07-05T00:48:42.913134+00:00"},{"alias_kind":"pith_short_16","alias_value":"P6F4HMWRLDDBYDZY","created_at":"2026-07-05T00:48:42.913134+00:00"},{"alias_kind":"pith_short_8","alias_value":"P6F4HMWR","created_at":"2026-07-05T00:48:42.913134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6","json":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6.json","graph_json":"https://pith.science/api/pith-number/P6F4HMWRLDDBYDZYPPLOCS6QG6/graph.json","events_json":"https://pith.science/api/pith-number/P6F4HMWRLDDBYDZYPPLOCS6QG6/events.json","paper":"https://pith.science/paper/P6F4HMWR"},"agent_actions":{"view_html":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6","download_json":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6.json","view_paper":"https://pith.science/paper/P6F4HMWR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.09731&json=true","fetch_graph":"https://pith.science/api/pith-number/P6F4HMWRLDDBYDZYPPLOCS6QG6/graph.json","fetch_events":"https://pith.science/api/pith-number/P6F4HMWRLDDBYDZYPPLOCS6QG6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6/action/storage_attestation","attest_author":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6/action/author_attestation","sign_citation":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6/action/citation_signature","submit_replication":"https://pith.science/pith/P6F4HMWRLDDBYDZYPPLOCS6QG6/action/replication_record"}},"created_at":"2026-07-05T00:48:42.913134+00:00","updated_at":"2026-07-05T00:48:42.913134+00:00"}