{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AW7HVDWM2NLD23RNCFKT457E5P","short_pith_number":"pith:AW7HVDWM","schema_version":"1.0","canonical_sha256":"05be7a8eccd3563d6e2d11553e77e4ebe30994222e49b2f1a336932dbd0333c9","source":{"kind":"arxiv","id":"1511.06587","version":2},"attestation_state":"computed","paper":{"title":"Some integral inequalities for operator arithmetic-geometrically convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ali Taghavi, Haji Mohammad Nazari, Vahid Darvish","submitted_at":"2015-11-20T13:21:36Z","abstract_excerpt":"In this paper, we introduce the concept of operator arithmetic-geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results. Moreover, some unitarily invariant norm inequalities are established."},"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":"1511.06587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-11-20T13:21:36Z","cross_cats_sorted":[],"title_canon_sha256":"51bebab0c0ef5b761053078ab11ed2f051494cff793eeaf21080655378a6c515","abstract_canon_sha256":"830b479c5383c6dacb53315cad8b7597a8685e0d1044edec7dec1bc9fa4d7e63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:05.505821Z","signature_b64":"yPNStHo11ioCqvAmnroj7Jh6nqiHk5tsdHVdz9wvKjYX/KbzslTnZrxQEFgH19Zt+wJ61ovI8uHraOiFXX/UBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05be7a8eccd3563d6e2d11553e77e4ebe30994222e49b2f1a336932dbd0333c9","last_reissued_at":"2026-05-18T01:19:05.505290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:05.505290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some integral inequalities for operator arithmetic-geometrically convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ali Taghavi, Haji Mohammad Nazari, Vahid Darvish","submitted_at":"2015-11-20T13:21:36Z","abstract_excerpt":"In this paper, we introduce the concept of operator arithmetic-geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results. Moreover, some unitarily invariant norm inequalities are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06587","kind":"arxiv","version":2},"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":"1511.06587","created_at":"2026-05-18T01:19:05.505380+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.06587v2","created_at":"2026-05-18T01:19:05.505380+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06587","created_at":"2026-05-18T01:19:05.505380+00:00"},{"alias_kind":"pith_short_12","alias_value":"AW7HVDWM2NLD","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AW7HVDWM2NLD23RN","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AW7HVDWM","created_at":"2026-05-18T12:29:10.953037+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/AW7HVDWM2NLD23RNCFKT457E5P","json":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P.json","graph_json":"https://pith.science/api/pith-number/AW7HVDWM2NLD23RNCFKT457E5P/graph.json","events_json":"https://pith.science/api/pith-number/AW7HVDWM2NLD23RNCFKT457E5P/events.json","paper":"https://pith.science/paper/AW7HVDWM"},"agent_actions":{"view_html":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P","download_json":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P.json","view_paper":"https://pith.science/paper/AW7HVDWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.06587&json=true","fetch_graph":"https://pith.science/api/pith-number/AW7HVDWM2NLD23RNCFKT457E5P/graph.json","fetch_events":"https://pith.science/api/pith-number/AW7HVDWM2NLD23RNCFKT457E5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P/action/storage_attestation","attest_author":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P/action/author_attestation","sign_citation":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P/action/citation_signature","submit_replication":"https://pith.science/pith/AW7HVDWM2NLD23RNCFKT457E5P/action/replication_record"}},"created_at":"2026-05-18T01:19:05.505380+00:00","updated_at":"2026-05-18T01:19:05.505380+00:00"}