{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4OUAFGFMPSDP5VRZK46CLNF64K","short_pith_number":"pith:4OUAFGFM","canonical_record":{"source":{"id":"1202.4529","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-21T05:30:44Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"0b42f70914756e632bba69b6fd3a84e2a48ba946e25ac30627e077c3e6cd6411","abstract_canon_sha256":"85de3f66cbf5537b76f3c9cad47b25a49a93526da6569b67725e4195ce2b75dd"},"schema_version":"1.0"},"canonical_sha256":"e3a80298ac7c86fed639573c25b4bee2bb93203db6ba6e8777a78c5614010b03","source":{"kind":"arxiv","id":"1202.4529","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4529","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4529v3","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4529","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"4OUAFGFMPSDP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4OUAFGFMPSDP5VRZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4OUAFGFM","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4OUAFGFMPSDP5VRZK46CLNF64K","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4529","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-21T05:30:44Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"0b42f70914756e632bba69b6fd3a84e2a48ba946e25ac30627e077c3e6cd6411","abstract_canon_sha256":"85de3f66cbf5537b76f3c9cad47b25a49a93526da6569b67725e4195ce2b75dd"},"schema_version":"1.0"},"canonical_sha256":"e3a80298ac7c86fed639573c25b4bee2bb93203db6ba6e8777a78c5614010b03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:25.364949Z","signature_b64":"krIZEh2DwxxGi+tJgup8X8WRXV4B1+VLUO/whDvJ02S4osuq2KwFG88t9yk9wp4GHv2Gkev0emfbA/n8XSJ1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3a80298ac7c86fed639573c25b4bee2bb93203db6ba6e8777a78c5614010b03","last_reissued_at":"2026-05-18T03:51:25.364538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:25.364538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4529","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":"2026-05-18T03:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKNBC9/O5W7KoEqTWXc0b8U4k+YEGWJ0iJm8g/t3ku84fHYBG9Bvfr5pUJQSdWoftJXIGzCC7Fs1qrb0hUy0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:21:32.703864Z"},"content_sha256":"2c1e313c075e337ee8ff85852f06e1ba5a0b7bf7a63b551a38a8074fe3a86b92","schema_version":"1.0","event_id":"sha256:2c1e313c075e337ee8ff85852f06e1ba5a0b7bf7a63b551a38a8074fe3a86b92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4OUAFGFMPSDP5VRZK46CLNF64K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Straightforward quantum-mechanical derivation of the Crooks fluctuation theorem and the Jarzynski equality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Doron Cohen, Yoseph Imry","submitted_at":"2012-02-21T05:30:44Z","abstract_excerpt":"We obtain the Crooks and the Jarzynski non-equilibrium fluctuation relations using a direct quantum-mechanical approach for a finite system that is either isolated or coupled not too strongly to a heat bath. These results were hitherto derived mostly in the classical limit. The two main ingredients in the picture are the time-reversal symmetry and the application of the first law to the case where an agent performs work on the system. No further assumptions regarding stochastic or Markovian behavior are necessary, neither a master equation or a classical phase-space picture are required. The s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4529","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":"2026-05-18T03:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NMe1pVzDy8FxT7urdPd3mCwiA9yYpwSkO6tBz9dyBG79gkjyltW5hegLMQEhHeLF7MblRuQeMzhye/65JYtfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:21:32.704204Z"},"content_sha256":"4a58bd15e751fc5ff0d8352ba563450fefa22e7ccecb6d90e78b287181f0e21f","schema_version":"1.0","event_id":"sha256:4a58bd15e751fc5ff0d8352ba563450fefa22e7ccecb6d90e78b287181f0e21f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OUAFGFMPSDP5VRZK46CLNF64K/bundle.json","state_url":"https://pith.science/pith/4OUAFGFMPSDP5VRZK46CLNF64K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OUAFGFMPSDP5VRZK46CLNF64K/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":"2026-06-04T03:21:32Z","links":{"resolver":"https://pith.science/pith/4OUAFGFMPSDP5VRZK46CLNF64K","bundle":"https://pith.science/pith/4OUAFGFMPSDP5VRZK46CLNF64K/bundle.json","state":"https://pith.science/pith/4OUAFGFMPSDP5VRZK46CLNF64K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OUAFGFMPSDP5VRZK46CLNF64K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4OUAFGFMPSDP5VRZK46CLNF64K","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":"85de3f66cbf5537b76f3c9cad47b25a49a93526da6569b67725e4195ce2b75dd","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-21T05:30:44Z","title_canon_sha256":"0b42f70914756e632bba69b6fd3a84e2a48ba946e25ac30627e077c3e6cd6411"},"schema_version":"1.0","source":{"id":"1202.4529","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4529","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4529v3","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4529","created_at":"2026-05-18T03:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"4OUAFGFMPSDP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4OUAFGFMPSDP5VRZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4OUAFGFM","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:4a58bd15e751fc5ff0d8352ba563450fefa22e7ccecb6d90e78b287181f0e21f","target":"graph","created_at":"2026-05-18T03:51:25Z","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 obtain the Crooks and the Jarzynski non-equilibrium fluctuation relations using a direct quantum-mechanical approach for a finite system that is either isolated or coupled not too strongly to a heat bath. These results were hitherto derived mostly in the classical limit. The two main ingredients in the picture are the time-reversal symmetry and the application of the first law to the case where an agent performs work on the system. No further assumptions regarding stochastic or Markovian behavior are necessary, neither a master equation or a classical phase-space picture are required. The s","authors_text":"Doron Cohen, Yoseph Imry","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-21T05:30:44Z","title":"Straightforward quantum-mechanical derivation of the Crooks fluctuation theorem and the Jarzynski equality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4529","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":"sha256:2c1e313c075e337ee8ff85852f06e1ba5a0b7bf7a63b551a38a8074fe3a86b92","target":"record","created_at":"2026-05-18T03:51:25Z","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":"85de3f66cbf5537b76f3c9cad47b25a49a93526da6569b67725e4195ce2b75dd","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-02-21T05:30:44Z","title_canon_sha256":"0b42f70914756e632bba69b6fd3a84e2a48ba946e25ac30627e077c3e6cd6411"},"schema_version":"1.0","source":{"id":"1202.4529","kind":"arxiv","version":3}},"canonical_sha256":"e3a80298ac7c86fed639573c25b4bee2bb93203db6ba6e8777a78c5614010b03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3a80298ac7c86fed639573c25b4bee2bb93203db6ba6e8777a78c5614010b03","first_computed_at":"2026-05-18T03:51:25.364538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:25.364538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"krIZEh2DwxxGi+tJgup8X8WRXV4B1+VLUO/whDvJ02S4osuq2KwFG88t9yk9wp4GHv2Gkev0emfbA/n8XSJ1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:25.364949Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4529","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c1e313c075e337ee8ff85852f06e1ba5a0b7bf7a63b551a38a8074fe3a86b92","sha256:4a58bd15e751fc5ff0d8352ba563450fefa22e7ccecb6d90e78b287181f0e21f"],"state_sha256":"f5f4c34e4806c65850625a0519bb0a6f16359056538a2a696e764e83e82c46f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UKz5ALzSTg5m4aT80R1wMXdXMaAbI127CBa0AGZFUJT/T1M2vKvnsQAjoO4nKr1GLPGSGIVUA4IEn/83Guf4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:21:32.706397Z","bundle_sha256":"f0517b27d763d6c7286e2ddf7be184329d336e9115a707c39903ec8390960892"}}