{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BQFOELW7ALX7HZRBDKXBETHSCE","short_pith_number":"pith:BQFOELW7","schema_version":"1.0","canonical_sha256":"0c0ae22edf02eff3e6211aae124cf21139399876685813c3320ea79b9edb8e7b","source":{"kind":"arxiv","id":"1211.2337","version":1},"attestation_state":"computed","paper":{"title":"Operator inequalities related to weak 2-positivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Jun Ichi Fujii, Mohammad Sal Moslehian","submitted_at":"2012-11-10T17:47:23Z","abstract_excerpt":"In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua's inequality by using the Choi--Davis--Jensen inequality."},"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":"1211.2337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-11-10T17:47:23Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"8e1823863cbb7ada60ba1487a294ac1de1f7d502f96593f026a318f892a41988","abstract_canon_sha256":"777da2f40c652e02d421cbcc5b0dfbe25390f87dc475a9a4660aed7c508be174"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:53.285625Z","signature_b64":"U/8mJzQv9zuH9WYnwo49djThaftvAcuRR/IRYJl7s+H2pGI0MlnEZgRFDosCVZarH7gvr47ZCBHO8xgutthDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c0ae22edf02eff3e6211aae124cf21139399876685813c3320ea79b9edb8e7b","last_reissued_at":"2026-05-18T02:38:53.285210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:53.285210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator inequalities related to weak 2-positivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Jun Ichi Fujii, Mohammad Sal Moslehian","submitted_at":"2012-11-10T17:47:23Z","abstract_excerpt":"In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua's inequality by using the Choi--Davis--Jensen inequality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2337","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":"1211.2337","created_at":"2026-05-18T02:38:53.285265+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.2337v1","created_at":"2026-05-18T02:38:53.285265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2337","created_at":"2026-05-18T02:38:53.285265+00:00"},{"alias_kind":"pith_short_12","alias_value":"BQFOELW7ALX7","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"BQFOELW7ALX7HZRB","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"BQFOELW7","created_at":"2026-05-18T12:27:01.376967+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/BQFOELW7ALX7HZRBDKXBETHSCE","json":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE.json","graph_json":"https://pith.science/api/pith-number/BQFOELW7ALX7HZRBDKXBETHSCE/graph.json","events_json":"https://pith.science/api/pith-number/BQFOELW7ALX7HZRBDKXBETHSCE/events.json","paper":"https://pith.science/paper/BQFOELW7"},"agent_actions":{"view_html":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE","download_json":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE.json","view_paper":"https://pith.science/paper/BQFOELW7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.2337&json=true","fetch_graph":"https://pith.science/api/pith-number/BQFOELW7ALX7HZRBDKXBETHSCE/graph.json","fetch_events":"https://pith.science/api/pith-number/BQFOELW7ALX7HZRBDKXBETHSCE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE/action/storage_attestation","attest_author":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE/action/author_attestation","sign_citation":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE/action/citation_signature","submit_replication":"https://pith.science/pith/BQFOELW7ALX7HZRBDKXBETHSCE/action/replication_record"}},"created_at":"2026-05-18T02:38:53.285265+00:00","updated_at":"2026-05-18T02:38:53.285265+00:00"}