{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OGCQSOY4E7JBIXQTQPF6OALS44","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":"3f19dff09c25b01d1de84d2868f15687f72cbd047099c11bc49f3fa7bddd58f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-27T03:07:09Z","title_canon_sha256":"45ba66e65e4cded89321c35abd62fd410922cb4ff64700154a1e0647f2ea2d4c"},"schema_version":"1.0","source":{"id":"1904.12096","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.12096","created_at":"2026-07-05T08:53:59Z"},{"alias_kind":"arxiv_version","alias_value":"1904.12096v3","created_at":"2026-07-05T08:53:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.12096","created_at":"2026-07-05T08:53:59Z"},{"alias_kind":"pith_short_12","alias_value":"OGCQSOY4E7JB","created_at":"2026-07-05T08:53:59Z"},{"alias_kind":"pith_short_16","alias_value":"OGCQSOY4E7JBIXQT","created_at":"2026-07-05T08:53:59Z"},{"alias_kind":"pith_short_8","alias_value":"OGCQSOY4","created_at":"2026-07-05T08:53:59Z"}],"graph_snapshots":[{"event_id":"sha256:e9f57ca1873289d41cbe9686e350c8081f4d041eb701889533fac4764c4e5346","target":"graph","created_at":"2026-07-05T08:53:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1904.12096/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.","authors_text":"Kallol paul, Pintu Bhunia, Santanu Bag","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-27T03:07:09Z","title":"Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.12096","kind":"arxiv","version":3},"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:db0a1ac98af57ddcc0fe04657a2f0335117a36ff30de573bcf709e868ed8d4af","target":"record","created_at":"2026-07-05T08:53:59Z","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":"3f19dff09c25b01d1de84d2868f15687f72cbd047099c11bc49f3fa7bddd58f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-27T03:07:09Z","title_canon_sha256":"45ba66e65e4cded89321c35abd62fd410922cb4ff64700154a1e0647f2ea2d4c"},"schema_version":"1.0","source":{"id":"1904.12096","kind":"arxiv","version":3}},"canonical_sha256":"7185093b1c27d2145e1383cbe70172e708186186c4cfc2559f41aad8b013b2d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7185093b1c27d2145e1383cbe70172e708186186c4cfc2559f41aad8b013b2d9","first_computed_at":"2026-07-05T08:53:59.061794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:53:59.061794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MCyS0nxKbRSOS7mbFxaVpjUirDoE8FmBmZlY5Bbd4Y93gHVkHRyS24G1cWWp0YG0Nmq4mHdQAM+fibdFiwrEBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:53:59.062241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.12096","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db0a1ac98af57ddcc0fe04657a2f0335117a36ff30de573bcf709e868ed8d4af","sha256:e9f57ca1873289d41cbe9686e350c8081f4d041eb701889533fac4764c4e5346"],"state_sha256":"a74b8300fcb666e3377a4d02ed36a4ddecd5202fbe7956f42cbee0ce5b308f09"}