{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RQV4UHQ7JFBD3XENILOTWWRZKP","short_pith_number":"pith:RQV4UHQ7","canonical_record":{"source":{"id":"1504.06430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-24T09:06:50Z","cross_cats_sorted":[],"title_canon_sha256":"e991aed71b4c20a90d9b618228c40909da5c7cc34e9fb6dab7cb2adfd3e46dc3","abstract_canon_sha256":"81dbca2f5431bcf0b525667e10e0baaa9021a2ee0a383a78223d374780856e26"},"schema_version":"1.0"},"canonical_sha256":"8c2bca1e1f49423ddc8d42dd3b5a3953e97c9e1855d5574ad40b13a415621eb8","source":{"kind":"arxiv","id":"1504.06430","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06430","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06430v1","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06430","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"RQV4UHQ7JFBD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RQV4UHQ7JFBD3XEN","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RQV4UHQ7","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RQV4UHQ7JFBD3XENILOTWWRZKP","target":"record","payload":{"canonical_record":{"source":{"id":"1504.06430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-24T09:06:50Z","cross_cats_sorted":[],"title_canon_sha256":"e991aed71b4c20a90d9b618228c40909da5c7cc34e9fb6dab7cb2adfd3e46dc3","abstract_canon_sha256":"81dbca2f5431bcf0b525667e10e0baaa9021a2ee0a383a78223d374780856e26"},"schema_version":"1.0"},"canonical_sha256":"8c2bca1e1f49423ddc8d42dd3b5a3953e97c9e1855d5574ad40b13a415621eb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:57.477166Z","signature_b64":"gulwTEEdFnqonPRSQgI9/qqqWQ9FvrpBJ/GqhvyLEJkAhf2T7qc7OTgpGE3cJCVGiV5/WqgjSxfTS65Haas0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c2bca1e1f49423ddc8d42dd3b5a3953e97c9e1855d5574ad40b13a415621eb8","last_reissued_at":"2026-05-18T01:18:57.476693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:57.476693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.06430","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":"2026-05-18T01:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oCYKH8UIWQAKdAcEus8OOAK47PK1GI0nb9NHAibg+l93dXvAYEGo4UIcyYnEBo7P3WV9AmOuyeWq8hRKirzXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:51:57.979845Z"},"content_sha256":"74682c53e148867faebd7c362842b945223e027cef69352152ce33e9987e4e96","schema_version":"1.0","event_id":"sha256:74682c53e148867faebd7c362842b945223e027cef69352152ce33e9987e4e96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RQV4UHQ7JFBD3XENILOTWWRZKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy production and detailed balance for a class of quantum Markov semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Franco Fagnola, Rolando Rebolledo","submitted_at":"2015-04-24T09:06:50Z","abstract_excerpt":"We give an explicit entropy production formula for a class of quantum Markov semigroups, arising in the weak coupling limit of a system coupled with reservoirs, whose generators $\\mathcal{L}$ are sums of other generators $\\mathcal{L}_\\omega$ associated with positive Bohr frequencies $\\omega$ of the system. As a consequence, we show that any such semigroup satisfies the quantum detailed balance condition with respect to an invariant state if and only if all semigroups generated by each $\\mathcal{L}_\\omega$ so do with respect to the same invariant state."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06430","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":"2026-05-18T01:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K//NiXEkHVBwybvSTDwGLELWn9PW5Vzds5BjnjCAIo0Fn8gehbuwV4P3NkhNn03hIpphqivdwjwqKRx3mEf+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:51:57.980581Z"},"content_sha256":"f042be75380b320441fdb27ea7163b1ca2b59fe60ea600f389a12f87e5b69f60","schema_version":"1.0","event_id":"sha256:f042be75380b320441fdb27ea7163b1ca2b59fe60ea600f389a12f87e5b69f60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/bundle.json","state_url":"https://pith.science/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/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":"2026-05-31T06:51:57Z","links":{"resolver":"https://pith.science/pith/RQV4UHQ7JFBD3XENILOTWWRZKP","bundle":"https://pith.science/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/bundle.json","state":"https://pith.science/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQV4UHQ7JFBD3XENILOTWWRZKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RQV4UHQ7JFBD3XENILOTWWRZKP","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":"81dbca2f5431bcf0b525667e10e0baaa9021a2ee0a383a78223d374780856e26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-24T09:06:50Z","title_canon_sha256":"e991aed71b4c20a90d9b618228c40909da5c7cc34e9fb6dab7cb2adfd3e46dc3"},"schema_version":"1.0","source":{"id":"1504.06430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06430","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06430v1","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06430","created_at":"2026-05-18T01:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"RQV4UHQ7JFBD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RQV4UHQ7JFBD3XEN","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RQV4UHQ7","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:f042be75380b320441fdb27ea7163b1ca2b59fe60ea600f389a12f87e5b69f60","target":"graph","created_at":"2026-05-18T01:18:57Z","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 give an explicit entropy production formula for a class of quantum Markov semigroups, arising in the weak coupling limit of a system coupled with reservoirs, whose generators $\\mathcal{L}$ are sums of other generators $\\mathcal{L}_\\omega$ associated with positive Bohr frequencies $\\omega$ of the system. As a consequence, we show that any such semigroup satisfies the quantum detailed balance condition with respect to an invariant state if and only if all semigroups generated by each $\\mathcal{L}_\\omega$ so do with respect to the same invariant state.","authors_text":"Franco Fagnola, Rolando Rebolledo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-24T09:06:50Z","title":"Entropy production and detailed balance for a class of quantum Markov semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06430","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":"sha256:74682c53e148867faebd7c362842b945223e027cef69352152ce33e9987e4e96","target":"record","created_at":"2026-05-18T01:18:57Z","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":"81dbca2f5431bcf0b525667e10e0baaa9021a2ee0a383a78223d374780856e26","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-24T09:06:50Z","title_canon_sha256":"e991aed71b4c20a90d9b618228c40909da5c7cc34e9fb6dab7cb2adfd3e46dc3"},"schema_version":"1.0","source":{"id":"1504.06430","kind":"arxiv","version":1}},"canonical_sha256":"8c2bca1e1f49423ddc8d42dd3b5a3953e97c9e1855d5574ad40b13a415621eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c2bca1e1f49423ddc8d42dd3b5a3953e97c9e1855d5574ad40b13a415621eb8","first_computed_at":"2026-05-18T01:18:57.476693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:57.476693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gulwTEEdFnqonPRSQgI9/qqqWQ9FvrpBJ/GqhvyLEJkAhf2T7qc7OTgpGE3cJCVGiV5/WqgjSxfTS65Haas0Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:57.477166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74682c53e148867faebd7c362842b945223e027cef69352152ce33e9987e4e96","sha256:f042be75380b320441fdb27ea7163b1ca2b59fe60ea600f389a12f87e5b69f60"],"state_sha256":"ee1ee21ca8fd41821a1cb865f34fb6a088c0c997b7f714bea73116aceb5b038f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J0mz4UW2lZEBF062wZxjR3KdLNm6+E4dJju9eOZaOONVJjnFqnndj9qnfDJ0f76HWCHVpSETXz2tILp5TU3JBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:51:57.984227Z","bundle_sha256":"24d057f23e2f6c4432a2ceff7d475e552cb3085c8bdc0bce6141ce1563f07561"}}