{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C7I42FIDRA4EJTRKVWYGI5FWRI","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":"7c164bb02180697d2c9f21f7c86ea8bf7b9e94074fc53b63e46e3c863f4ed2bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-21T12:14:04Z","title_canon_sha256":"289270483fd1b17746a4e5d6aae6e7aaf82a75d6b71f3ff50951bc7dcf5049df"},"schema_version":"1.0","source":{"id":"1412.6771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6771","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6771v1","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6771","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"C7I42FIDRA4E","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C7I42FIDRA4EJTRK","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C7I42FID","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:33598334a69ba3054083990e6c5f03656860b9aae811843bd61a5b55d9e9b019","target":"graph","created_at":"2026-05-17T23:54:27Z","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":"The notion of conditional entropy is extended to noncomposite systems. The q-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki{Lieb inequality is found for systems without subsystems.","authors_text":"Olga V. Man'ko, Vladimir I. Man'ko, Vladimir N. Chernega","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-21T12:14:04Z","title":"Deformed entropy and information relations for composite and noncomposite systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6771","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":"sha256:8e1596d70c1c41c2f1a5acf076df443e6de8b757d883ca1659595083b85b2078","target":"record","created_at":"2026-05-17T23:54:27Z","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":"7c164bb02180697d2c9f21f7c86ea8bf7b9e94074fc53b63e46e3c863f4ed2bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-21T12:14:04Z","title_canon_sha256":"289270483fd1b17746a4e5d6aae6e7aaf82a75d6b71f3ff50951bc7dcf5049df"},"schema_version":"1.0","source":{"id":"1412.6771","kind":"arxiv","version":1}},"canonical_sha256":"17d1cd1503883844ce2aadb06474b68a10bf922119ab31283065157162c310aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17d1cd1503883844ce2aadb06474b68a10bf922119ab31283065157162c310aa","first_computed_at":"2026-05-17T23:54:27.331254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:27.331254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"50jAO1/h2dnhfFMM9WDR/yAepTD8x9t/ibeHwVYSKYFy+ybMQWKlA7tdcRaiNO2/yluYocti3h2WeVS3FTUJCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:27.331734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e1596d70c1c41c2f1a5acf076df443e6de8b757d883ca1659595083b85b2078","sha256:33598334a69ba3054083990e6c5f03656860b9aae811843bd61a5b55d9e9b019"],"state_sha256":"71e5576b49103c98ad1193cb82241bdb893bbc4fcacb40dd08efbe1aec6508d4"}