{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FHQW3DEQYNQFLXIMARFMVFJTYF","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":"29e232447df943ab5b1a6111e606b18a6de4aaaaa2adcae1d55a4541962aaf9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-18T03:36:44Z","title_canon_sha256":"84445c68a5b29ceffa1b1c4482056f3de5ea8a013790dfcd5f89b39bf312866f"},"schema_version":"1.0","source":{"id":"1410.4904","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4904","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4904v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4904","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"FHQW3DEQYNQF","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FHQW3DEQYNQFLXIM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FHQW3DEQ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:2e63bab4fbff3162fbbc2ccfb893c2eadab89fcf58218f92bffcb6d7874838af","target":"graph","created_at":"2026-05-18T02:39:47Z","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":"Recently, Zou obtained the generalized results on the bounds for Tsallis relative operator entropy. In this short paper, we give precise bounds for Tsallis relative operator entropy. We also give precise bounds of relative operator entropy.","authors_text":"Shigeru Furuichi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-18T03:36:44Z","title":"Precise estimates of bounds on relative operator entropies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4904","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:c16e750cae136665cc63ec606d10e595405636664ff63a1974c5d8dc87998817","target":"record","created_at":"2026-05-18T02:39:47Z","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":"29e232447df943ab5b1a6111e606b18a6de4aaaaa2adcae1d55a4541962aaf9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-18T03:36:44Z","title_canon_sha256":"84445c68a5b29ceffa1b1c4482056f3de5ea8a013790dfcd5f89b39bf312866f"},"schema_version":"1.0","source":{"id":"1410.4904","kind":"arxiv","version":1}},"canonical_sha256":"29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e","first_computed_at":"2026-05-18T02:39:47.520729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:47.520729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NilKaW79rMb/Iz4vHHlUH8D8+LpYM4hLJUtJ87LasikEbz0LDyHBFjvgFCARgN4tSttQpFAKds5wmQh/MtYNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:47.521182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4904","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c16e750cae136665cc63ec606d10e595405636664ff63a1974c5d8dc87998817","sha256:2e63bab4fbff3162fbbc2ccfb893c2eadab89fcf58218f92bffcb6d7874838af"],"state_sha256":"24a96463d32af605094ff84476ebaf3bc9caef855a8a21e35c88161637cca5ff"}