{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YXAFGYLA5YOTGFJO364IMIJGDY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"675abc258a03459bc7a24d4c9a1bbeb59bb7217ebdc4d67d44d2d49d9f6fa1be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-09T02:24:07Z","title_canon_sha256":"f5a46a201d576fa96edc6ad7c86930c3cf02b0548919ed5fa790aacc0e28ce2b"},"schema_version":"1.0","source":{"id":"1907.03944","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03944","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03944v1","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03944","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"YXAFGYLA5YOT","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YXAFGYLA5YOTGFJO","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YXAFGYLA","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:ce6aa7794add6a911a5fb0b374a72733f624538f4026d93dd36bdca80f8068f8","target":"graph","created_at":"2026-05-17T23:41:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In a recent work of the authors, we showed some general inequalities governing numerical radius inequalities using convex functions. In this article, we present results that complement the aforementioned inequalities. In particular, the new versions can be looked at as refined and generalized forms of some well known numerical radius inequalities. Among many other results, we show that \\[\\left\\| f\\left( \\frac{{{A}^{*}}A+A{{A}^{*}}}{4} \\right) \\right\\|\\le \\left\\| \\int_{0}^{1}{f\\left( \\left( 1-t \\right){{B}^{2}}+t{{C}^{2}} \\right)dt} \\right\\|\\le f\\left( {{w}^{2}}\\left( A \\right) \\right),\\] when ","authors_text":"Hamid Reza Moradi, Mohammad Sababheh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-09T02:24:07Z","title":"More accurate numerical radius inequalities (II)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03944","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b9f8ddf138275727fe73c6d892eee07a71c3761715f2ce1d6609315897d7e8da","target":"record","created_at":"2026-05-17T23:41:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"675abc258a03459bc7a24d4c9a1bbeb59bb7217ebdc4d67d44d2d49d9f6fa1be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-09T02:24:07Z","title_canon_sha256":"f5a46a201d576fa96edc6ad7c86930c3cf02b0548919ed5fa790aacc0e28ce2b"},"schema_version":"1.0","source":{"id":"1907.03944","kind":"arxiv","version":1}},"canonical_sha256":"c5c0536160ee1d33152edfb88621261e3c7f9d2dee50c516915a91361aef5cde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5c0536160ee1d33152edfb88621261e3c7f9d2dee50c516915a91361aef5cde","first_computed_at":"2026-05-17T23:41:06.282706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:06.282706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NQ1Oyid9gJaWn3us/y3lGvcvWaRJ7CdPuJPyvl1Do1XJfxnDCFtHZ7S+95WzFk/MtNDD+2M9n09vj9GJypGrDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:06.283435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03944","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9f8ddf138275727fe73c6d892eee07a71c3761715f2ce1d6609315897d7e8da","sha256:ce6aa7794add6a911a5fb0b374a72733f624538f4026d93dd36bdca80f8068f8"],"state_sha256":"35c1ea17d4ebd60530970908c4739b1e96781d9ca7524d4d9f50d635eca82986"}