{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7NOZA3O5MQTII7UZ7NRYMEHZ4Y","short_pith_number":"pith:7NOZA3O5","canonical_record":{"source":{"id":"1505.04201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-15T20:42:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4e0c6fe3f3a0a6b1c9c2a6fa366f1a48eaa4e2a371a17133595a5bab988fc7c4","abstract_canon_sha256":"f20586959292091cb8b878a47a54c5c47ad2e9836c9cf2c2f506a8d6d16504af"},"schema_version":"1.0"},"canonical_sha256":"fb5d906ddd6426847e99fb638610f9e63dfdb3ef118beee737fc66fdc4531ba2","source":{"kind":"arxiv","id":"1505.04201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04201","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04201v1","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04201","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"pith_short_12","alias_value":"7NOZA3O5MQTI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NOZA3O5MQTII7UZ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NOZA3O5","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7NOZA3O5MQTII7UZ7NRYMEHZ4Y","target":"record","payload":{"canonical_record":{"source":{"id":"1505.04201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-15T20:42:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4e0c6fe3f3a0a6b1c9c2a6fa366f1a48eaa4e2a371a17133595a5bab988fc7c4","abstract_canon_sha256":"f20586959292091cb8b878a47a54c5c47ad2e9836c9cf2c2f506a8d6d16504af"},"schema_version":"1.0"},"canonical_sha256":"fb5d906ddd6426847e99fb638610f9e63dfdb3ef118beee737fc66fdc4531ba2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:29.826639Z","signature_b64":"5nQNf2mhNMz6E+vfhAxo0Wg+HRWxaOkeu3E0eKad8dBUuWnvTGFtS3StVeNQ6LAsE2BEsChT4xznYvHU3HUDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb5d906ddd6426847e99fb638610f9e63dfdb3ef118beee737fc66fdc4531ba2","last_reissued_at":"2026-05-18T01:31:29.826033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:29.826033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.04201","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kPhBjA3FBrLcFrxVaE8pabao6L0iZkT1rTkj8tLdZIz54nj4n8dMC76WUEDKNtoAaxOJPYYWwuwlrjSwzzm9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:46:16.587260Z"},"content_sha256":"749c0e23b5b0f9839ff804aa355c7e518fc188d1809a3242539e81c767296839","schema_version":"1.0","event_id":"sha256:749c0e23b5b0f9839ff804aa355c7e518fc188d1809a3242539e81c767296839"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7NOZA3O5MQTII7UZ7NRYMEHZ4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonequilibrium potential and fluctuation theorems for quantum maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Gonzalo Manzano, Jordan M. Horowitz, Juan M.R. Parrondo","submitted_at":"2015-05-15T20:42:20Z","abstract_excerpt":"We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem reproduces well-known fluctuation theorems in a single and simplified framework and extends the Hatano-Sasa theorem to quantum nonequilibrium processes. Moreover, it helps to elucidate the physical nature of the environment inducing a given dynamics in an open quantum system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04201","kind":"arxiv","version":1},"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":"2026-05-18T01:31:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXCHEP3vyplvpnv08hZdkDXmEvDZO+2hw5ynPpkoyev26YqKeQCsqnq30WrSe08LhBgioCHAoC12gCM78BusBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:46:16.587956Z"},"content_sha256":"e5dd23113f60eeb8d55c88181e47b7741a7afad93c3b22eaa5a72e1156babe1e","schema_version":"1.0","event_id":"sha256:e5dd23113f60eeb8d55c88181e47b7741a7afad93c3b22eaa5a72e1156babe1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/bundle.json","state_url":"https://pith.science/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/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":"2026-05-27T14:46:16Z","links":{"resolver":"https://pith.science/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y","bundle":"https://pith.science/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/bundle.json","state":"https://pith.science/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NOZA3O5MQTII7UZ7NRYMEHZ4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7NOZA3O5MQTII7UZ7NRYMEHZ4Y","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":"f20586959292091cb8b878a47a54c5c47ad2e9836c9cf2c2f506a8d6d16504af","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-15T20:42:20Z","title_canon_sha256":"4e0c6fe3f3a0a6b1c9c2a6fa366f1a48eaa4e2a371a17133595a5bab988fc7c4"},"schema_version":"1.0","source":{"id":"1505.04201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04201","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04201v1","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04201","created_at":"2026-05-18T01:31:29Z"},{"alias_kind":"pith_short_12","alias_value":"7NOZA3O5MQTI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NOZA3O5MQTII7UZ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NOZA3O5","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:e5dd23113f60eeb8d55c88181e47b7741a7afad93c3b22eaa5a72e1156babe1e","target":"graph","created_at":"2026-05-18T01:31:29Z","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 derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem reproduces well-known fluctuation theorems in a single and simplified framework and extends the Hatano-Sasa theorem to quantum nonequilibrium processes. Moreover, it helps to elucidate the physical nature of the environment inducing a given dynamics in an open quantum system.","authors_text":"Gonzalo Manzano, Jordan M. Horowitz, Juan M.R. Parrondo","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-15T20:42:20Z","title":"Nonequilibrium potential and fluctuation theorems for quantum maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04201","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":"sha256:749c0e23b5b0f9839ff804aa355c7e518fc188d1809a3242539e81c767296839","target":"record","created_at":"2026-05-18T01:31:29Z","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":"f20586959292091cb8b878a47a54c5c47ad2e9836c9cf2c2f506a8d6d16504af","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-15T20:42:20Z","title_canon_sha256":"4e0c6fe3f3a0a6b1c9c2a6fa366f1a48eaa4e2a371a17133595a5bab988fc7c4"},"schema_version":"1.0","source":{"id":"1505.04201","kind":"arxiv","version":1}},"canonical_sha256":"fb5d906ddd6426847e99fb638610f9e63dfdb3ef118beee737fc66fdc4531ba2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb5d906ddd6426847e99fb638610f9e63dfdb3ef118beee737fc66fdc4531ba2","first_computed_at":"2026-05-18T01:31:29.826033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:29.826033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5nQNf2mhNMz6E+vfhAxo0Wg+HRWxaOkeu3E0eKad8dBUuWnvTGFtS3StVeNQ6LAsE2BEsChT4xznYvHU3HUDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:29.826639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:749c0e23b5b0f9839ff804aa355c7e518fc188d1809a3242539e81c767296839","sha256:e5dd23113f60eeb8d55c88181e47b7741a7afad93c3b22eaa5a72e1156babe1e"],"state_sha256":"6f6aa401d7a61d2d4243330b38bacd160e2e41f242cf9f0085e150fecd9581db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BpECv3byZrhIQPOTndEKx10HUboNjy+B9FxnqEzNx7O6RpKrvgpjVlpszuRZbH4Wi5X0u99UwC3cpN4LDLfZBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:46:16.591224Z","bundle_sha256":"032986a1842fe1d54f4c7b391c2c44c733af0fd5057033061b78d7c6d2da7fba"}}