{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:25DU2CQMP5ZZM536MKNCY46CE4","short_pith_number":"pith:25DU2CQM","canonical_record":{"source":{"id":"1907.06003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"50e92f28d589ad46ef9a048d69cf980a9c8eab63c4b6eaadfe863e32eec87e8b","abstract_canon_sha256":"c6828c2bd2c08fb10dd0459bd68f3d6c4daaf44e8ac3c4b97926b95331f7b5fe"},"schema_version":"1.0"},"canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","source":{"kind":"arxiv","id":"1907.06003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06003","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06003v1","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06003","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"pith_short_12","alias_value":"25DU2CQMP5ZZ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"25DU2CQMP5ZZM536","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"25DU2CQM","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:25DU2CQMP5ZZM536MKNCY46CE4","target":"record","payload":{"canonical_record":{"source":{"id":"1907.06003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"50e92f28d589ad46ef9a048d69cf980a9c8eab63c4b6eaadfe863e32eec87e8b","abstract_canon_sha256":"c6828c2bd2c08fb10dd0459bd68f3d6c4daaf44e8ac3c4b97926b95331f7b5fe"},"schema_version":"1.0"},"canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:42.698712Z","signature_b64":"ZNC2lRQbCN3JplO4GUAvwNwqCbaRKa5C38kanoVT0F/E3H9/C3gnFtoHLjN21ebJBk/L0uejQJnnfF+0Oc/hCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","last_reissued_at":"2026-05-17T23:40:42.698007Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:42.698007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.06003","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1f4lnNQXhCSKFlqBv+zf+P5eKMLzESikAijN/9+wo3YAyWz0WSVrmt9XZR2k/Ocxkkm8Z4/rMuiGa2iPcMMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:42:02.101531Z"},"content_sha256":"153949df2be387f4dea88dbbedc146ef5fb4fb0e16c84c03d3af021269580dfc","schema_version":"1.0","event_id":"sha256:153949df2be387f4dea88dbbedc146ef5fb4fb0e16c84c03d3af021269580dfc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:25DU2CQMP5ZZM536MKNCY46CE4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further Inequalities for the Numerical Radius of Hilbert Space Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"H. R. Moradi, P. Harikrishnan, S. Furuichi, S. Tafazoli","submitted_at":"2019-07-13T03:20:00Z","abstract_excerpt":"In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if $A\\in \\mathbb{B}\\left( \\mathcal{H} \\right)$ and $r\\ge 2$, then \\[{{w}^{r}}\\left( A \\right)\\le {{\\left\\| A \\right\\|}^{r}}-\\underset{\\left\\| x \\right\\|=1}{\\mathop{\\inf }}\\,{{\\left\\| {{\\left| \\left| A \\right|-w\\left( A \\right) \\right|}^{\\frac{r}{2}}}x \\right\\|}^{2}}\\] where $w\\left( \\cdot \\right)$ and $\\left\\| \\cdot \\right\\|$ denote the numerical radius and usual "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06003","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cZLn6ncoezMoXw/s2SMwLMti4ecRJUxowoDMKoKYSBhQTvR44r1r3N3eGY8oxb7IijfTYzyP1JajJkzETpjyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:42:02.102075Z"},"content_sha256":"e22323d28f49a50d3d740ac22bfe8d7161a2ebdc636dca9458bcd2d194227d6b","schema_version":"1.0","event_id":"sha256:e22323d28f49a50d3d740ac22bfe8d7161a2ebdc636dca9458bcd2d194227d6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/bundle.json","state_url":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25DU2CQMP5ZZM536MKNCY46CE4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T10:42:02Z","links":{"resolver":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4","bundle":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/bundle.json","state":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25DU2CQMP5ZZM536MKNCY46CE4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:25DU2CQMP5ZZM536MKNCY46CE4","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":"c6828c2bd2c08fb10dd0459bd68f3d6c4daaf44e8ac3c4b97926b95331f7b5fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","title_canon_sha256":"50e92f28d589ad46ef9a048d69cf980a9c8eab63c4b6eaadfe863e32eec87e8b"},"schema_version":"1.0","source":{"id":"1907.06003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06003","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06003v1","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06003","created_at":"2026-05-17T23:40:42Z"},{"alias_kind":"pith_short_12","alias_value":"25DU2CQMP5ZZ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"25DU2CQMP5ZZM536","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"25DU2CQM","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:e22323d28f49a50d3d740ac22bfe8d7161a2ebdc636dca9458bcd2d194227d6b","target":"graph","created_at":"2026-05-17T23:40:42Z","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 this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if $A\\in \\mathbb{B}\\left( \\mathcal{H} \\right)$ and $r\\ge 2$, then \\[{{w}^{r}}\\left( A \\right)\\le {{\\left\\| A \\right\\|}^{r}}-\\underset{\\left\\| x \\right\\|=1}{\\mathop{\\inf }}\\,{{\\left\\| {{\\left| \\left| A \\right|-w\\left( A \\right) \\right|}^{\\frac{r}{2}}}x \\right\\|}^{2}}\\] where $w\\left( \\cdot \\right)$ and $\\left\\| \\cdot \\right\\|$ denote the numerical radius and usual ","authors_text":"H. R. Moradi, P. Harikrishnan, S. Furuichi, S. Tafazoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","title":"Further Inequalities for the Numerical Radius of Hilbert Space Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06003","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":"sha256:153949df2be387f4dea88dbbedc146ef5fb4fb0e16c84c03d3af021269580dfc","target":"record","created_at":"2026-05-17T23:40:42Z","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":"c6828c2bd2c08fb10dd0459bd68f3d6c4daaf44e8ac3c4b97926b95331f7b5fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","title_canon_sha256":"50e92f28d589ad46ef9a048d69cf980a9c8eab63c4b6eaadfe863e32eec87e8b"},"schema_version":"1.0","source":{"id":"1907.06003","kind":"arxiv","version":1}},"canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","first_computed_at":"2026-05-17T23:40:42.698007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:42.698007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZNC2lRQbCN3JplO4GUAvwNwqCbaRKa5C38kanoVT0F/E3H9/C3gnFtoHLjN21ebJBk/L0uejQJnnfF+0Oc/hCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:42.698712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:153949df2be387f4dea88dbbedc146ef5fb4fb0e16c84c03d3af021269580dfc","sha256:e22323d28f49a50d3d740ac22bfe8d7161a2ebdc636dca9458bcd2d194227d6b"],"state_sha256":"4f9eb7d2baab37f4b825b82a1baeca76d381695987e14ede43ef5a3ee4565202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9JQdkyKdJ7xNQBj68NL0VsOlrAPL1RpU7EKnH8xjC5n61D7WrGHLzXoeoKoRk+BaIL5peODaQHqH7s28uxAOBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:42:02.104753Z","bundle_sha256":"2e18359774554287cd4b8b62f5286c8cc039518f4b78f20ca784e6c6e76c18b1"}}