{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:53GPY74EWCJZXMOJANSOBA73OS","short_pith_number":"pith:53GPY74E","canonical_record":{"source":{"id":"1705.02188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-05T12:21:07Z","cross_cats_sorted":[],"title_canon_sha256":"cd3119e52b6f5609e2e5814a94aa42030e170228c39e4e535cc7812354dd3e00","abstract_canon_sha256":"854c18e5eeeda0d2e7de29f90e5237ecc6880b1258e8028c4cb7aac7c604ce06"},"schema_version":"1.0"},"canonical_sha256":"eeccfc7f84b0939bb1c90364e083fb74b7290402f26b8fb098506aa323ce77ed","source":{"kind":"arxiv","id":"1705.02188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02188","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02188v1","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02188","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"pith_short_12","alias_value":"53GPY74EWCJZ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"53GPY74EWCJZXMOJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"53GPY74E","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:53GPY74EWCJZXMOJANSOBA73OS","target":"record","payload":{"canonical_record":{"source":{"id":"1705.02188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-05T12:21:07Z","cross_cats_sorted":[],"title_canon_sha256":"cd3119e52b6f5609e2e5814a94aa42030e170228c39e4e535cc7812354dd3e00","abstract_canon_sha256":"854c18e5eeeda0d2e7de29f90e5237ecc6880b1258e8028c4cb7aac7c604ce06"},"schema_version":"1.0"},"canonical_sha256":"eeccfc7f84b0939bb1c90364e083fb74b7290402f26b8fb098506aa323ce77ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:00.454799Z","signature_b64":"frqFa2tLymTQgsCHGW/atVXOXLw7ryUX+IdgIpYp3vanHnl0UII6GWYyIE8zkyhJPMIYECd/RAaCHKomhYExAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eeccfc7f84b0939bb1c90364e083fb74b7290402f26b8fb098506aa323ce77ed","last_reissued_at":"2026-05-18T00:45:00.454278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:00.454278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.02188","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":"2026-05-18T00:45:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/bdAgLc41h8nj6yEhnhFk07flB4+Sq76tA6whaRaNkGBGSAAq8gfUxflpTsZpr+7yH1ip8BylH/uC+V+T0TBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:09:01.731062Z"},"content_sha256":"25b8d5aabd44636b47bdd903cf03e6a8e993cae71cc65d11e7bc17ca8e0254be","schema_version":"1.0","event_id":"sha256:25b8d5aabd44636b47bdd903cf03e6a8e993cae71cc65d11e7bc17ca8e0254be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:53GPY74EWCJZXMOJANSOBA73OS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimates for Tsallis relative operator entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hamid Reza Moradi, Nicu\\c{s}or Minculete, Shigeru Furuichi","submitted_at":"2017-05-05T12:21:07Z","abstract_excerpt":"We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02188","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":"2026-05-18T00:45:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NmNmwXFDDKDd7Qj27BG2YIsfsL7KF1C3wFv9o703uVkRBlYCswBOzuJ6Irhto167x/X/9ggdWgxnuGrPUMaoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:09:01.731421Z"},"content_sha256":"9601514405abe701ae65d4473e9a9a80fd5df11721b98a7ff6bd83f429f1c300","schema_version":"1.0","event_id":"sha256:9601514405abe701ae65d4473e9a9a80fd5df11721b98a7ff6bd83f429f1c300"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/53GPY74EWCJZXMOJANSOBA73OS/bundle.json","state_url":"https://pith.science/pith/53GPY74EWCJZXMOJANSOBA73OS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/53GPY74EWCJZXMOJANSOBA73OS/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":"2026-06-23T01:09:01Z","links":{"resolver":"https://pith.science/pith/53GPY74EWCJZXMOJANSOBA73OS","bundle":"https://pith.science/pith/53GPY74EWCJZXMOJANSOBA73OS/bundle.json","state":"https://pith.science/pith/53GPY74EWCJZXMOJANSOBA73OS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/53GPY74EWCJZXMOJANSOBA73OS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:53GPY74EWCJZXMOJANSOBA73OS","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":"854c18e5eeeda0d2e7de29f90e5237ecc6880b1258e8028c4cb7aac7c604ce06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-05T12:21:07Z","title_canon_sha256":"cd3119e52b6f5609e2e5814a94aa42030e170228c39e4e535cc7812354dd3e00"},"schema_version":"1.0","source":{"id":"1705.02188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02188","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02188v1","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02188","created_at":"2026-05-18T00:45:00Z"},{"alias_kind":"pith_short_12","alias_value":"53GPY74EWCJZ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"53GPY74EWCJZXMOJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"53GPY74E","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:9601514405abe701ae65d4473e9a9a80fd5df11721b98a7ff6bd83f429f1c300","target":"graph","created_at":"2026-05-18T00:45:00Z","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 give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given.","authors_text":"Hamid Reza Moradi, Nicu\\c{s}or Minculete, Shigeru Furuichi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-05T12:21:07Z","title":"Estimates for Tsallis relative operator entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02188","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":"sha256:25b8d5aabd44636b47bdd903cf03e6a8e993cae71cc65d11e7bc17ca8e0254be","target":"record","created_at":"2026-05-18T00:45:00Z","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":"854c18e5eeeda0d2e7de29f90e5237ecc6880b1258e8028c4cb7aac7c604ce06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-05-05T12:21:07Z","title_canon_sha256":"cd3119e52b6f5609e2e5814a94aa42030e170228c39e4e535cc7812354dd3e00"},"schema_version":"1.0","source":{"id":"1705.02188","kind":"arxiv","version":1}},"canonical_sha256":"eeccfc7f84b0939bb1c90364e083fb74b7290402f26b8fb098506aa323ce77ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeccfc7f84b0939bb1c90364e083fb74b7290402f26b8fb098506aa323ce77ed","first_computed_at":"2026-05-18T00:45:00.454278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:00.454278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"frqFa2tLymTQgsCHGW/atVXOXLw7ryUX+IdgIpYp3vanHnl0UII6GWYyIE8zkyhJPMIYECd/RAaCHKomhYExAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:00.454799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25b8d5aabd44636b47bdd903cf03e6a8e993cae71cc65d11e7bc17ca8e0254be","sha256:9601514405abe701ae65d4473e9a9a80fd5df11721b98a7ff6bd83f429f1c300"],"state_sha256":"3d952d7617d7d89d60faa6fc6ed5cd1778c437e09c783c68b88b2e4b96fa3dcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4okDg7kdRoR7EjnT4Opj0qSldd1qNRozmaItrqH9h+Z3A3IYjJiO9sEdwkG/c9sTLceH+dknj8fzu+8VVafdDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T01:09:01.733468Z","bundle_sha256":"c9149332e45ef241ec324144f47aeec3565763092d2075d669b26b33cdb0acbf"}}