{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:YKXFH4NCPHRGQO6SKSOQ6DOBAH","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":"38520cb8a0a802aa8d01203cd00fd1bc5ea99fc02fee871ce47dcae71a73eb75","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.FA","submitted_at":"2007-10-03T14:25:07Z","title_canon_sha256":"7a2574f6bb6a595ba9a355c8197880214e3bfeca579b419b143da11b9c2e362e"},"schema_version":"1.0","source":{"id":"0710.0797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.0797","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"0710.0797v1","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.0797","created_at":"2026-05-18T02:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"YKXFH4NCPHRG","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YKXFH4NCPHRGQO6S","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YKXFH4NC","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:ac18e1a9be808650df1b9bfe0a2e98ca2e680cbd2c7b07802ae6c6965553c978","target":"graph","created_at":"2026-05-18T02:58:12Z","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":"Let $A^2$ be the Bergman space on the unit disk. A bounded operator $S$ on $A^2$ is called radial if $Sz^n = \\lambda_n z^n$ for all $n\\ge 0$, where $\\lambda_n$ is a bounded sequence of complex numbers. We characterize the eigenvalues of radial operators that can be approximated by Toeplitz operators with bounded symbols.","authors_text":"Daniel Su\\'arez","cross_cats":["math.OA"],"headline":"","license":"","primary_cat":"math.FA","submitted_at":"2007-10-03T14:25:07Z","title":"The eigenvalues of limits of radial Toeplitz operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.0797","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":"sha256:953c7f0e4aaf52e8d897f336dd3d66d0f60b7ddaa88835f9b6c414e691a7b6f5","target":"record","created_at":"2026-05-18T02:58:12Z","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":"38520cb8a0a802aa8d01203cd00fd1bc5ea99fc02fee871ce47dcae71a73eb75","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.FA","submitted_at":"2007-10-03T14:25:07Z","title_canon_sha256":"7a2574f6bb6a595ba9a355c8197880214e3bfeca579b419b143da11b9c2e362e"},"schema_version":"1.0","source":{"id":"0710.0797","kind":"arxiv","version":1}},"canonical_sha256":"c2ae53f1a279e2683bd2549d0f0dc101d5093a3589b0c6b316f542fdf8c2716b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2ae53f1a279e2683bd2549d0f0dc101d5093a3589b0c6b316f542fdf8c2716b","first_computed_at":"2026-05-18T02:58:12.246772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:12.246772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bGOK11hYlzM7oG/Wc5id16ktgto55s2in4ewC6UN1qp4Tt4I4sUWYRpgz0uchq84DL+VdMrdSr8KLY6G+J75CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:12.247458Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.0797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:953c7f0e4aaf52e8d897f336dd3d66d0f60b7ddaa88835f9b6c414e691a7b6f5","sha256:ac18e1a9be808650df1b9bfe0a2e98ca2e680cbd2c7b07802ae6c6965553c978"],"state_sha256":"a9acdc506b2571560587740091aa71a86160c41d4a797ccb7257831133e2b481"}