{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OEVIM7JQD7DGO7RRAWHYW22PVI","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":"89a85a381faf7d87fe6061d07d6bd795b6b1cc3392fe0781c65f4023216a5ed0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T07:04:34Z","title_canon_sha256":"74fd4b22ee11d7213f2bf147ac2bed2953d2da5894771ce2f0962c5752c0e602"},"schema_version":"1.0","source":{"id":"1710.05143","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05143","created_at":"2026-05-18T00:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05143v2","created_at":"2026-05-18T00:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05143","created_at":"2026-05-18T00:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"OEVIM7JQD7DG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OEVIM7JQD7DGO7RR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OEVIM7JQ","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:444d3ef3b7934efece4cd6716996c349883883af4ea6e4d903b0c4e96ad5a624","target":"graph","created_at":"2026-05-18T00:00:41Z","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 establish a reverse inequality for Tsallis relative operator entropy involving a positive linear map. In addition, we present converse of Ando's inequality, for each parameter. We give examples to compare our results with the known results by Furuta and Seo. In particular, we establish an extension and a reverse of the L\\\"owner-Heinz inequality under certain condition. Some interesting consequences of inner product spaces and norm inequalities are also presented.","authors_text":"H.R. Moradi, S. Furuichi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T07:04:34Z","title":"A Complementary Inequality to the Information Monotonicity for Tsallis Relative Operator Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05143","kind":"arxiv","version":2},"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":"sha256:6b005351795956a13209fd7bb4231915cedefc3f999c82a925aafdf93307e83e","target":"record","created_at":"2026-05-18T00:00:41Z","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":"89a85a381faf7d87fe6061d07d6bd795b6b1cc3392fe0781c65f4023216a5ed0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-10-14T07:04:34Z","title_canon_sha256":"74fd4b22ee11d7213f2bf147ac2bed2953d2da5894771ce2f0962c5752c0e602"},"schema_version":"1.0","source":{"id":"1710.05143","kind":"arxiv","version":2}},"canonical_sha256":"712a867d301fc6677e31058f8b6b4faa1fa5698850b49c2d5533b05f3850b419","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"712a867d301fc6677e31058f8b6b4faa1fa5698850b49c2d5533b05f3850b419","first_computed_at":"2026-05-18T00:00:41.407099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:41.407099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2wXiIwDUAOMd+GWDjTow204SP/qSvk1NxupaKhC1rsJzeCzl1YcKAqZ0vhoor80jaqIsi4GqYytUu9pJenAlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:41.407501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05143","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b005351795956a13209fd7bb4231915cedefc3f999c82a925aafdf93307e83e","sha256:444d3ef3b7934efece4cd6716996c349883883af4ea6e4d903b0c4e96ad5a624"],"state_sha256":"50aa954bf36b47a645e743e913b3aeab7a4d2cbb8667122d60830229aad7b0b8"}