{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:IVQE6B5PVXAQTEXZECGNIAWRZY","short_pith_number":"pith:IVQE6B5P","canonical_record":{"source":{"id":"cond-mat/0007360","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-07-24T10:43:04Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"46ac3ad45a82a718ffd96b7f4648a7215fc24263443fc1327d14886fb95a2222","abstract_canon_sha256":"58d33d41f5f46e15f85662b2f1fe5aaf9282bcd265349d1b1437cdd2f7d8f231"},"schema_version":"1.0"},"canonical_sha256":"45604f07afadc10992f9208cd402d1ce3c202502d52086ccdef9b32e87458a34","source":{"kind":"arxiv","id":"cond-mat/0007360","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0007360","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0007360v2","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0007360","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"pith_short_12","alias_value":"IVQE6B5PVXAQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IVQE6B5PVXAQTEXZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IVQE6B5P","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:IVQE6B5PVXAQTEXZECGNIAWRZY","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0007360","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-07-24T10:43:04Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"46ac3ad45a82a718ffd96b7f4648a7215fc24263443fc1327d14886fb95a2222","abstract_canon_sha256":"58d33d41f5f46e15f85662b2f1fe5aaf9282bcd265349d1b1437cdd2f7d8f231"},"schema_version":"1.0"},"canonical_sha256":"45604f07afadc10992f9208cd402d1ce3c202502d52086ccdef9b32e87458a34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:12.814647Z","signature_b64":"OpM/ko5J3gIziTA6wSd9SlYgfDyllKelaR6DMTSVlBaLv7j/+MSlIU0b61CBGyYSIPSsqwvjumNTkRE0mqrYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45604f07afadc10992f9208cd402d1ce3c202502d52086ccdef9b32e87458a34","last_reissued_at":"2026-05-18T01:07:12.814135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:12.814135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0007360","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6uqegZWoWtaFly+vIDgocrATXqVSwRMeRUCEUc2+ujrvknmE9p060lQFLv+sMXeb5IpWLQKWKTLZ30k2PdqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:16:51.308916Z"},"content_sha256":"7ed40a5882f9face0135cbef2f7ccc2334f99455875f70af6bda6e893ee45888","schema_version":"1.0","event_id":"sha256:7ed40a5882f9face0135cbef2f7ccc2334f99455875f70af6bda6e893ee45888"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:IVQE6B5PVXAQTEXZECGNIAWRZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Quantum Fluctuation Theorem","license":"","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jorge Kurchan (P.M.M.H. Ecole Sup\\'erieure de Physique et Chimie Industrielles)","submitted_at":"2000-07-24T10:43:04Z","abstract_excerpt":"We consider a quantum system strongly driven by forces that are periodic in time. The theorem concerns the probability $P(e)$ of observing a given energy change $e$ after a number of cycles. If the system is thermostated by a (quantum) thermal bath, $e$ is the total amount of energy transferred to the bath, while for an isolated system\n $e$ is the increase in energy of the system itself. Then, we show that $P(e)/P(-e)=e^{\\beta e}$, a parameter-free, model-independent relation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0007360","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":""},"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":"2026-05-18T01:07:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p/Mk9YZTZpKgWaT8mCpKlXD7rvm7qreNxqkgSISLdgiIZ53mPpzc+yQtHlAS8zcDgqrKb3MUAW6se/Ft+/zbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:16:51.309256Z"},"content_sha256":"642c19a105de778d64ebc342709c568ee2874b8e7ecfeeaf7837fbf2066e35ac","schema_version":"1.0","event_id":"sha256:642c19a105de778d64ebc342709c568ee2874b8e7ecfeeaf7837fbf2066e35ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/bundle.json","state_url":"https://pith.science/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/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":"2026-06-01T09:16:51Z","links":{"resolver":"https://pith.science/pith/IVQE6B5PVXAQTEXZECGNIAWRZY","bundle":"https://pith.science/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/bundle.json","state":"https://pith.science/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVQE6B5PVXAQTEXZECGNIAWRZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:IVQE6B5PVXAQTEXZECGNIAWRZY","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":"58d33d41f5f46e15f85662b2f1fe5aaf9282bcd265349d1b1437cdd2f7d8f231","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-07-24T10:43:04Z","title_canon_sha256":"46ac3ad45a82a718ffd96b7f4648a7215fc24263443fc1327d14886fb95a2222"},"schema_version":"1.0","source":{"id":"cond-mat/0007360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0007360","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0007360v2","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0007360","created_at":"2026-05-18T01:07:12Z"},{"alias_kind":"pith_short_12","alias_value":"IVQE6B5PVXAQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IVQE6B5PVXAQTEXZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IVQE6B5P","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:642c19a105de778d64ebc342709c568ee2874b8e7ecfeeaf7837fbf2066e35ac","target":"graph","created_at":"2026-05-18T01:07:12Z","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 consider a quantum system strongly driven by forces that are periodic in time. The theorem concerns the probability $P(e)$ of observing a given energy change $e$ after a number of cycles. If the system is thermostated by a (quantum) thermal bath, $e$ is the total amount of energy transferred to the bath, while for an isolated system\n $e$ is the increase in energy of the system itself. Then, we show that $P(e)/P(-e)=e^{\\beta e}$, a parameter-free, model-independent relation.","authors_text":"Jorge Kurchan (P.M.M.H. Ecole Sup\\'erieure de Physique et Chimie Industrielles)","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-07-24T10:43:04Z","title":"A Quantum Fluctuation Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0007360","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":"sha256:7ed40a5882f9face0135cbef2f7ccc2334f99455875f70af6bda6e893ee45888","target":"record","created_at":"2026-05-18T01:07:12Z","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":"58d33d41f5f46e15f85662b2f1fe5aaf9282bcd265349d1b1437cdd2f7d8f231","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-07-24T10:43:04Z","title_canon_sha256":"46ac3ad45a82a718ffd96b7f4648a7215fc24263443fc1327d14886fb95a2222"},"schema_version":"1.0","source":{"id":"cond-mat/0007360","kind":"arxiv","version":2}},"canonical_sha256":"45604f07afadc10992f9208cd402d1ce3c202502d52086ccdef9b32e87458a34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45604f07afadc10992f9208cd402d1ce3c202502d52086ccdef9b32e87458a34","first_computed_at":"2026-05-18T01:07:12.814135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:12.814135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OpM/ko5J3gIziTA6wSd9SlYgfDyllKelaR6DMTSVlBaLv7j/+MSlIU0b61CBGyYSIPSsqwvjumNTkRE0mqrYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:12.814647Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0007360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ed40a5882f9face0135cbef2f7ccc2334f99455875f70af6bda6e893ee45888","sha256:642c19a105de778d64ebc342709c568ee2874b8e7ecfeeaf7837fbf2066e35ac"],"state_sha256":"534dfa7614d412e5345417cba1b8072bc149ab70308eaeb0bd02c6659674b081"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ihRrM4OA7aScR6WVperYzet5fImwQhf19tfMDtEvhdcgcPr2OAotRZ87d0+gI9idh3yEh4TkvLg1PGT0OAvjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:16:51.311408Z","bundle_sha256":"3fa4b8391afee19ca35cfc4e7389f402c92d11a2f2ccfb57c36e4b3eb83f772b"}}