{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:YBZ5P7ENPLYYKMJBPPJHDEG5XM","short_pith_number":"pith:YBZ5P7EN","schema_version":"1.0","canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","source":{"kind":"arxiv","id":"0908.0965","version":1},"attestation_state":"computed","paper":{"title":"Nonextensive Quantum H-Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nucl-th"],"primary_cat":"quant-ph","authors_text":"D. H. A. L. Anselmo, J. S. Alcaniz, R. SIlva","submitted_at":"2009-08-06T22:12:02Z","abstract_excerpt":"A proof of the quantum $H$-theorem taking into account nonextensive effects on the quantum entropy $S^Q_q$ is shown. The positiveness of the time variation of $S^Q_q$ combined with a duality transformation implies that the nonextensive parameter $q$ lies in the interval [0,2]. It is also shown that the equilibrium states are described by quantum $q$-power law extensions of the Fermi-Dirac and Bose-Einstein distributions. Such results reduce to the standard ones in the extensive limit, thereby showing that the nonextensive entropic framework can be harmonized with the quantum distributions cont"},"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":"0908.0965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-06T22:12:02Z","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"title_canon_sha256":"7774e71f5495d898b42430153b7e3b8f6ca24a854c81fb93c10f2891efe4d92d","abstract_canon_sha256":"1cd1e38689f0efcbf2d4427dfdd211d54fc58d999abafd6b3d2ac3a86a69461d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:36.848301Z","signature_b64":"KJzO6NfVp0lxRE3izmhy6F0tuma7Pw8IIqKE5EjRpi0qOzkepl2vQgLy0j2TgsvGv8nYcskfep1Q5rWmLjWWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","last_reissued_at":"2026-05-18T02:12:36.847535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:36.847535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonextensive Quantum H-Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nucl-th"],"primary_cat":"quant-ph","authors_text":"D. H. A. L. Anselmo, J. S. Alcaniz, R. SIlva","submitted_at":"2009-08-06T22:12:02Z","abstract_excerpt":"A proof of the quantum $H$-theorem taking into account nonextensive effects on the quantum entropy $S^Q_q$ is shown. The positiveness of the time variation of $S^Q_q$ combined with a duality transformation implies that the nonextensive parameter $q$ lies in the interval [0,2]. It is also shown that the equilibrium states are described by quantum $q$-power law extensions of the Fermi-Dirac and Bose-Einstein distributions. Such results reduce to the standard ones in the extensive limit, thereby showing that the nonextensive entropic framework can be harmonized with the quantum distributions cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0965","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0908.0965","created_at":"2026-05-18T02:12:36.847665+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.0965v1","created_at":"2026-05-18T02:12:36.847665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0965","created_at":"2026-05-18T02:12:36.847665+00:00"},{"alias_kind":"pith_short_12","alias_value":"YBZ5P7ENPLYY","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"YBZ5P7ENPLYYKMJB","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"YBZ5P7EN","created_at":"2026-05-18T12:26:02.257875+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM","json":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM.json","graph_json":"https://pith.science/api/pith-number/YBZ5P7ENPLYYKMJBPPJHDEG5XM/graph.json","events_json":"https://pith.science/api/pith-number/YBZ5P7ENPLYYKMJBPPJHDEG5XM/events.json","paper":"https://pith.science/paper/YBZ5P7EN"},"agent_actions":{"view_html":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM","download_json":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM.json","view_paper":"https://pith.science/paper/YBZ5P7EN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.0965&json=true","fetch_graph":"https://pith.science/api/pith-number/YBZ5P7ENPLYYKMJBPPJHDEG5XM/graph.json","fetch_events":"https://pith.science/api/pith-number/YBZ5P7ENPLYYKMJBPPJHDEG5XM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/action/storage_attestation","attest_author":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/action/author_attestation","sign_citation":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/action/citation_signature","submit_replication":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/action/replication_record"}},"created_at":"2026-05-18T02:12:36.847665+00:00","updated_at":"2026-05-18T02:12:36.847665+00:00"}