{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SYHSPTM7B2TASWQ3DX2PIGNW7X","short_pith_number":"pith:SYHSPTM7","schema_version":"1.0","canonical_sha256":"960f27cd9f0ea6095a1b1df4f419b6fdc8f5c5d40366d94c868af0f422ca7ba0","source":{"kind":"arxiv","id":"2505.07549","version":2},"attestation_state":"computed","paper":{"title":"Exponential Relative Entropy Decay Along Quantum Markov Semigroups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"math.OA","authors_text":"Melchior Wirth","submitted_at":"2025-05-12T13:29:34Z","abstract_excerpt":"We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neumann algebras. We also extend an intertwining criterion for the modified logarithmic Sobolev inequality to GNS-symmetric quantum Markov semigroups on infinite-dimensional von Neumann algebras."},"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":"2505.07549","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2025-05-12T13:29:34Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"258cc51aaaf3c522178b82f65a060df440d58e6942f3f5695c04b1315c96d199","abstract_canon_sha256":"0a2504dba94f07811c86f1f1e9e4f497afd96ede526ab4abe6ef3136fa73dede"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:27:30.029785Z","signature_b64":"zZhqqODxS0DNH9uL6OjbLozp1wUEyxEgDYy9DodJauPAdIovPuEt27HrcrOkNnD7B2tvJ0+76qYfbhsIkDIXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"960f27cd9f0ea6095a1b1df4f419b6fdc8f5c5d40366d94c868af0f422ca7ba0","last_reissued_at":"2026-07-05T11:27:30.029286Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:27:30.029286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential Relative Entropy Decay Along Quantum Markov Semigroups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"math.OA","authors_text":"Melchior Wirth","submitted_at":"2025-05-12T13:29:34Z","abstract_excerpt":"We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neumann algebras. We also extend an intertwining criterion for the modified logarithmic Sobolev inequality to GNS-symmetric quantum Markov semigroups on infinite-dimensional von Neumann algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07549","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/2505.07549/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":"2505.07549","created_at":"2026-07-05T11:27:30.029347+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.07549v2","created_at":"2026-07-05T11:27:30.029347+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07549","created_at":"2026-07-05T11:27:30.029347+00:00"},{"alias_kind":"pith_short_12","alias_value":"SYHSPTM7B2TA","created_at":"2026-07-05T11:27:30.029347+00:00"},{"alias_kind":"pith_short_16","alias_value":"SYHSPTM7B2TASWQ3","created_at":"2026-07-05T11:27:30.029347+00:00"},{"alias_kind":"pith_short_8","alias_value":"SYHSPTM7","created_at":"2026-07-05T11:27:30.029347+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.15272","citing_title":"A general proof of integer R\\'enyi QNEC","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X","json":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X.json","graph_json":"https://pith.science/api/pith-number/SYHSPTM7B2TASWQ3DX2PIGNW7X/graph.json","events_json":"https://pith.science/api/pith-number/SYHSPTM7B2TASWQ3DX2PIGNW7X/events.json","paper":"https://pith.science/paper/SYHSPTM7"},"agent_actions":{"view_html":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X","download_json":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X.json","view_paper":"https://pith.science/paper/SYHSPTM7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.07549&json=true","fetch_graph":"https://pith.science/api/pith-number/SYHSPTM7B2TASWQ3DX2PIGNW7X/graph.json","fetch_events":"https://pith.science/api/pith-number/SYHSPTM7B2TASWQ3DX2PIGNW7X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X/action/storage_attestation","attest_author":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X/action/author_attestation","sign_citation":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X/action/citation_signature","submit_replication":"https://pith.science/pith/SYHSPTM7B2TASWQ3DX2PIGNW7X/action/replication_record"}},"created_at":"2026-07-05T11:27:30.029347+00:00","updated_at":"2026-07-05T11:27:30.029347+00:00"}