{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Q2GDPAIA66G4G7DBXI7VKQO5OB","short_pith_number":"pith:Q2GDPAIA","schema_version":"1.0","canonical_sha256":"868c378100f78dc37c61ba3f5541dd704e5d0a9b6117a0a929d45f4ee15626f2","source":{"kind":"arxiv","id":"1410.1958","version":1},"attestation_state":"computed","paper":{"title":"Completely strong superadditivity of generalized matrix functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Minghua Lin, Suvrit Sra","submitted_at":"2014-10-08T01:04:32Z","abstract_excerpt":"We prove that generalized matrix functions satisfy a block-matrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent result of Paksoy-Turkmen-Zhang (V. Paksoy, R. Turkmen, F. Zhang, Inequalities of generalized matrix functions via tensor products, Electron. J. Linear Algebra 27 (2014) 332-341.). As an application, we obtain a short proof of a classical inequality of Thompson (1961) on block matrix determinants."},"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":"1410.1958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-10-08T01:04:32Z","cross_cats_sorted":[],"title_canon_sha256":"9ec29730fd6e1527738fa816653b44dd58c050edfc13e431fc3f9be1c997692c","abstract_canon_sha256":"a2fbe178cf481786c4939a2069c90b482d9fdebfa09fdf67b4d7f9caf8174ef4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:53.401214Z","signature_b64":"iUB6xBY00HpvamNcOI3EMcKQ5gBA573GrD3N4HN1gBsirr6h0tReOn5fQKIYDbguLZ5xhR7yaQN+j3xN7gDWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"868c378100f78dc37c61ba3f5541dd704e5d0a9b6117a0a929d45f4ee15626f2","last_reissued_at":"2026-05-18T02:40:53.400825Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:53.400825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Completely strong superadditivity of generalized matrix functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Minghua Lin, Suvrit Sra","submitted_at":"2014-10-08T01:04:32Z","abstract_excerpt":"We prove that generalized matrix functions satisfy a block-matrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent result of Paksoy-Turkmen-Zhang (V. Paksoy, R. Turkmen, F. Zhang, Inequalities of generalized matrix functions via tensor products, Electron. J. Linear Algebra 27 (2014) 332-341.). As an application, we obtain a short proof of a classical inequality of Thompson (1961) on block matrix determinants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1958","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":"1410.1958","created_at":"2026-05-18T02:40:53.400889+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.1958v1","created_at":"2026-05-18T02:40:53.400889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1958","created_at":"2026-05-18T02:40:53.400889+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q2GDPAIA66G4","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q2GDPAIA66G4G7DB","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q2GDPAIA","created_at":"2026-05-18T12:28:43.426989+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/Q2GDPAIA66G4G7DBXI7VKQO5OB","json":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB.json","graph_json":"https://pith.science/api/pith-number/Q2GDPAIA66G4G7DBXI7VKQO5OB/graph.json","events_json":"https://pith.science/api/pith-number/Q2GDPAIA66G4G7DBXI7VKQO5OB/events.json","paper":"https://pith.science/paper/Q2GDPAIA"},"agent_actions":{"view_html":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB","download_json":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB.json","view_paper":"https://pith.science/paper/Q2GDPAIA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.1958&json=true","fetch_graph":"https://pith.science/api/pith-number/Q2GDPAIA66G4G7DBXI7VKQO5OB/graph.json","fetch_events":"https://pith.science/api/pith-number/Q2GDPAIA66G4G7DBXI7VKQO5OB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB/action/storage_attestation","attest_author":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB/action/author_attestation","sign_citation":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB/action/citation_signature","submit_replication":"https://pith.science/pith/Q2GDPAIA66G4G7DBXI7VKQO5OB/action/replication_record"}},"created_at":"2026-05-18T02:40:53.400889+00:00","updated_at":"2026-05-18T02:40:53.400889+00:00"}