{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YEROU4D3UD6KRAPTRWGJJA52E4","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":"75aff3d80670dd4815baef9033f2a09f57e4e56db79e1165ccc853c215d38a91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-05-24T09:34:25Z","title_canon_sha256":"220fc1feefce0bf8fe980cefb0a1521ff90c8bfb49866068dab28b1a59f9a459"},"schema_version":"1.0","source":{"id":"1805.09569","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09569","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09569v4","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09569","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"YEROU4D3UD6K","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YEROU4D3UD6KRAPT","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YEROU4D3","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:b04135fa1b0f693d02788ff9dd2f34f480503139830124638bfd44a6caa362b1","target":"graph","created_at":"2026-05-17T23:50:07Z","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":"We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that\n  \\begin{equation*} \\omega\\left(\\left[\\begin{array}{cc} 0 & R \\\\ S & 0 \\end{array}\\right]\\right)=\\frac{\\Vert R \\Vert +\\Vert S\\Vert }{2} \\end{equation*} where $R, S \\in \\mathbb{B}(\\mathcal{H})$.","authors_text":"B. Moosavi, H.R. Moradi, M. Shah Hosseini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-05-24T09:34:25Z","title":"An Alternative Estimate for the Numerical Radius of Hilbert Space Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09569","kind":"arxiv","version":4},"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:ae8f1f816ec2e53232d0ee4ffe38743d9b77983de834d55b19832e7c8c2a92ab","target":"record","created_at":"2026-05-17T23:50:07Z","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":"75aff3d80670dd4815baef9033f2a09f57e4e56db79e1165ccc853c215d38a91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-05-24T09:34:25Z","title_canon_sha256":"220fc1feefce0bf8fe980cefb0a1521ff90c8bfb49866068dab28b1a59f9a459"},"schema_version":"1.0","source":{"id":"1805.09569","kind":"arxiv","version":4}},"canonical_sha256":"c122ea707ba0fca881f38d8c9483ba27117a6dcf730d64e23a90a5556b87e403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c122ea707ba0fca881f38d8c9483ba27117a6dcf730d64e23a90a5556b87e403","first_computed_at":"2026-05-17T23:50:07.278434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:07.278434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CAttkjMLNiEM4Rl1D+K5vttjOfOxZlMLFJi/2C+IqxxT6AFD4MTSe7ErjmYyG3B+Qq7RFRRxtFbrxt7y9XiDBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:07.278876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09569","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae8f1f816ec2e53232d0ee4ffe38743d9b77983de834d55b19832e7c8c2a92ab","sha256:b04135fa1b0f693d02788ff9dd2f34f480503139830124638bfd44a6caa362b1"],"state_sha256":"57859ff6e3f26baef1106c1aea672260228ad45fa0a69548878825fb776385d2"}