{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:YBZ5P7ENPLYYKMJBPPJHDEG5XM","short_pith_number":"pith:YBZ5P7EN","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"},"canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","source":{"kind":"arxiv","id":"0908.0965","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0965","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0965v1","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0965","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"YBZ5P7ENPLYY","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YBZ5P7ENPLYYKMJB","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YBZ5P7EN","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:YBZ5P7ENPLYYKMJBPPJHDEG5XM","target":"record","payload":{"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"},"canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","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"},"source_kind":"arxiv","source_id":"0908.0965","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":"2026-05-18T02:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/BtoKf4Mf4i2YHlGT3RQKEXY6qM8Xg97jeNsRMa5ekhHwOOy5Y70AmYV2Qo4oxYAw0Dy6CbZ34DV9a3O64nCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:06:47.633600Z"},"content_sha256":"a9d078303e1212421d01dcd97e8b5ba0d85da58901cefc72338eabca9fb97388","schema_version":"1.0","event_id":"sha256:a9d078303e1212421d01dcd97e8b5ba0d85da58901cefc72338eabca9fb97388"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:YBZ5P7ENPLYYKMJBPPJHDEG5XM","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"btR/veG3etMWbfNCRhLg9odzKpnTtQ3BELPIxauTFNRptKaIwmOT8KClROhtlXcS5cOWe69UgJ5YNByAXBeGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:06:47.634293Z"},"content_sha256":"1195387aae7ae96ce7e73e44515b082fe393bd0cf69af240f4c7ff147830d819","schema_version":"1.0","event_id":"sha256:1195387aae7ae96ce7e73e44515b082fe393bd0cf69af240f4c7ff147830d819"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/bundle.json","state_url":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/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":"2026-06-12T00:06:47Z","links":{"resolver":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM","bundle":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/bundle.json","state":"https://pith.science/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBZ5P7ENPLYYKMJBPPJHDEG5XM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YBZ5P7ENPLYYKMJBPPJHDEG5XM","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":"1cd1e38689f0efcbf2d4427dfdd211d54fc58d999abafd6b3d2ac3a86a69461d","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-06T22:12:02Z","title_canon_sha256":"7774e71f5495d898b42430153b7e3b8f6ca24a854c81fb93c10f2891efe4d92d"},"schema_version":"1.0","source":{"id":"0908.0965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0965","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0965v1","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0965","created_at":"2026-05-18T02:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"YBZ5P7ENPLYY","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YBZ5P7ENPLYYKMJB","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YBZ5P7EN","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1195387aae7ae96ce7e73e44515b082fe393bd0cf69af240f4c7ff147830d819","target":"graph","created_at":"2026-05-18T02:12:36Z","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":"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","authors_text":"D. H. A. L. Anselmo, J. S. Alcaniz, R. SIlva","cross_cats":["cond-mat.stat-mech","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-06T22:12:02Z","title":"Nonextensive Quantum H-Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0965","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:a9d078303e1212421d01dcd97e8b5ba0d85da58901cefc72338eabca9fb97388","target":"record","created_at":"2026-05-18T02:12:36Z","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":"1cd1e38689f0efcbf2d4427dfdd211d54fc58d999abafd6b3d2ac3a86a69461d","cross_cats_sorted":["cond-mat.stat-mech","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-08-06T22:12:02Z","title_canon_sha256":"7774e71f5495d898b42430153b7e3b8f6ca24a854c81fb93c10f2891efe4d92d"},"schema_version":"1.0","source":{"id":"0908.0965","kind":"arxiv","version":1}},"canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c073d7fc8d7af18531217bd27190ddbb3ed9e033edbe52c180c9b56f4a3a5a0b","first_computed_at":"2026-05-18T02:12:36.847535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:36.847535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJzO6NfVp0lxRE3izmhy6F0tuma7Pw8IIqKE5EjRpi0qOzkepl2vQgLy0j2TgsvGv8nYcskfep1Q5rWmLjWWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:36.848301Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9d078303e1212421d01dcd97e8b5ba0d85da58901cefc72338eabca9fb97388","sha256:1195387aae7ae96ce7e73e44515b082fe393bd0cf69af240f4c7ff147830d819"],"state_sha256":"e0f82b05350dbbca30e90ed6642286831e13b06b5dbd92e024745f5cbe4d97ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PGRmCf/r0tlRjnJAteuk3znVUerESQB8+5Ci8KjgnPJZKyE5RIcwt1Xs3hIjJpuBGclYuVA/QwEbLa/80Va6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:06:47.638126Z","bundle_sha256":"f5a835e5c08f3909ff2188bd4320524fcf2c0699eaac527436fa8100612f2cb3"}}