{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WNQUPDWXJPLYCVEMZFOOD3LGSX","short_pith_number":"pith:WNQUPDWX","schema_version":"1.0","canonical_sha256":"b361478ed74bd781548cc95ce1ed6695f08ab7ad3ddf74af82dff8c64a0179ac","source":{"kind":"arxiv","id":"1707.07147","version":1},"attestation_state":"computed","paper":{"title":"Reverses of operator Acz\\'el inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Shigeru Furuichi, Venus Kaleibary","submitted_at":"2017-07-22T12:02:05Z","abstract_excerpt":"In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\\'el inequality dealing with the weighted geometric mean."},"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":"1707.07147","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-07-22T12:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"49babed37eb1f36e48a6fda95a80682240b97530eaa3259f622b707558ffa770","abstract_canon_sha256":"be754ab9dd0335eb2c8a7fbd1df057378300b8f254e61b9d8339697c2812b369"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:31.690992Z","signature_b64":"qA+nlQFRJpUbGka9Ub85MyTPdRvnoOrcV+ZxbSBvPqSZWi1TFZceAZQqvDQ4D4yFUu3iA1DQje+v+xrPZJ8GCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b361478ed74bd781548cc95ce1ed6695f08ab7ad3ddf74af82dff8c64a0179ac","last_reissued_at":"2026-05-18T00:18:31.690602Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:31.690602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reverses of operator Acz\\'el inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Shigeru Furuichi, Venus Kaleibary","submitted_at":"2017-07-22T12:02:05Z","abstract_excerpt":"In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\\'el inequality dealing with the weighted geometric mean."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07147","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":"1707.07147","created_at":"2026-05-18T00:18:31.690658+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07147v1","created_at":"2026-05-18T00:18:31.690658+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07147","created_at":"2026-05-18T00:18:31.690658+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNQUPDWXJPLY","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNQUPDWXJPLYCVEM","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNQUPDWX","created_at":"2026-05-18T12:31:53.515858+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/WNQUPDWXJPLYCVEMZFOOD3LGSX","json":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX.json","graph_json":"https://pith.science/api/pith-number/WNQUPDWXJPLYCVEMZFOOD3LGSX/graph.json","events_json":"https://pith.science/api/pith-number/WNQUPDWXJPLYCVEMZFOOD3LGSX/events.json","paper":"https://pith.science/paper/WNQUPDWX"},"agent_actions":{"view_html":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX","download_json":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX.json","view_paper":"https://pith.science/paper/WNQUPDWX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07147&json=true","fetch_graph":"https://pith.science/api/pith-number/WNQUPDWXJPLYCVEMZFOOD3LGSX/graph.json","fetch_events":"https://pith.science/api/pith-number/WNQUPDWXJPLYCVEMZFOOD3LGSX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX/action/storage_attestation","attest_author":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX/action/author_attestation","sign_citation":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX/action/citation_signature","submit_replication":"https://pith.science/pith/WNQUPDWXJPLYCVEMZFOOD3LGSX/action/replication_record"}},"created_at":"2026-05-18T00:18:31.690658+00:00","updated_at":"2026-05-18T00:18:31.690658+00:00"}