{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FHQW3DEQYNQFLXIMARFMVFJTYF","short_pith_number":"pith:FHQW3DEQ","schema_version":"1.0","canonical_sha256":"29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e","source":{"kind":"arxiv","id":"1410.4904","version":1},"attestation_state":"computed","paper":{"title":"Precise estimates of bounds on relative operator entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Shigeru Furuichi","submitted_at":"2014-10-18T03:36:44Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.4904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-18T03:36:44Z","cross_cats_sorted":[],"title_canon_sha256":"84445c68a5b29ceffa1b1c4482056f3de5ea8a013790dfcd5f89b39bf312866f","abstract_canon_sha256":"29e232447df943ab5b1a6111e606b18a6de4aaaaa2adcae1d55a4541962aaf9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:47.521182Z","signature_b64":"NilKaW79rMb/Iz4vHHlUH8D8+LpYM4hLJUtJ87LasikEbz0LDyHBFjvgFCARgN4tSttQpFAKds5wmQh/MtYNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29e16d8c90c36055dd0c044aca9533c14c4d32fb1f8a6346d734716dbd22383e","last_reissued_at":"2026-05-18T02:39:47.520729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:47.520729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Precise estimates of bounds on relative operator entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Shigeru Furuichi","submitted_at":"2014-10-18T03:36:44Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4904","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.4904","created_at":"2026-05-18T02:39:47.520793+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.4904v1","created_at":"2026-05-18T02:39:47.520793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4904","created_at":"2026-05-18T02:39:47.520793+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHQW3DEQYNQF","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHQW3DEQYNQFLXIM","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHQW3DEQ","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF","json":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF.json","graph_json":"https://pith.science/api/pith-number/FHQW3DEQYNQFLXIMARFMVFJTYF/graph.json","events_json":"https://pith.science/api/pith-number/FHQW3DEQYNQFLXIMARFMVFJTYF/events.json","paper":"https://pith.science/paper/FHQW3DEQ"},"agent_actions":{"view_html":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF","download_json":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF.json","view_paper":"https://pith.science/paper/FHQW3DEQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.4904&json=true","fetch_graph":"https://pith.science/api/pith-number/FHQW3DEQYNQFLXIMARFMVFJTYF/graph.json","fetch_events":"https://pith.science/api/pith-number/FHQW3DEQYNQFLXIMARFMVFJTYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF/action/storage_attestation","attest_author":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF/action/author_attestation","sign_citation":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF/action/citation_signature","submit_replication":"https://pith.science/pith/FHQW3DEQYNQFLXIMARFMVFJTYF/action/replication_record"}},"created_at":"2026-05-18T02:39:47.520793+00:00","updated_at":"2026-05-18T02:39:47.520793+00:00"}