{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:YKXFH4NCPHRGQO6SKSOQ6DOBAH","short_pith_number":"pith:YKXFH4NC","schema_version":"1.0","canonical_sha256":"c2ae53f1a279e2683bd2549d0f0dc101d5093a3589b0c6b316f542fdf8c2716b","source":{"kind":"arxiv","id":"0710.0797","version":1},"attestation_state":"computed","paper":{"title":"The eigenvalues of limits of radial Toeplitz operators","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Daniel Su\\'arez","submitted_at":"2007-10-03T14:25:07Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0710.0797","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"2007-10-03T14:25:07Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"7a2574f6bb6a595ba9a355c8197880214e3bfeca579b419b143da11b9c2e362e","abstract_canon_sha256":"38520cb8a0a802aa8d01203cd00fd1bc5ea99fc02fee871ce47dcae71a73eb75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:12.247458Z","signature_b64":"bGOK11hYlzM7oG/Wc5id16ktgto55s2in4ewC6UN1qp4Tt4I4sUWYRpgz0uchq84DL+VdMrdSr8KLY6G+J75CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2ae53f1a279e2683bd2549d0f0dc101d5093a3589b0c6b316f542fdf8c2716b","last_reissued_at":"2026-05-18T02:58:12.246772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:12.246772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The eigenvalues of limits of radial Toeplitz operators","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Daniel Su\\'arez","submitted_at":"2007-10-03T14:25:07Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.0797","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0710.0797","created_at":"2026-05-18T02:58:12.246882+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.0797v1","created_at":"2026-05-18T02:58:12.246882+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.0797","created_at":"2026-05-18T02:58:12.246882+00:00"},{"alias_kind":"pith_short_12","alias_value":"YKXFH4NCPHRG","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"YKXFH4NCPHRGQO6S","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"YKXFH4NC","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH","json":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH.json","graph_json":"https://pith.science/api/pith-number/YKXFH4NCPHRGQO6SKSOQ6DOBAH/graph.json","events_json":"https://pith.science/api/pith-number/YKXFH4NCPHRGQO6SKSOQ6DOBAH/events.json","paper":"https://pith.science/paper/YKXFH4NC"},"agent_actions":{"view_html":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH","download_json":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH.json","view_paper":"https://pith.science/paper/YKXFH4NC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.0797&json=true","fetch_graph":"https://pith.science/api/pith-number/YKXFH4NCPHRGQO6SKSOQ6DOBAH/graph.json","fetch_events":"https://pith.science/api/pith-number/YKXFH4NCPHRGQO6SKSOQ6DOBAH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH/action/storage_attestation","attest_author":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH/action/author_attestation","sign_citation":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH/action/citation_signature","submit_replication":"https://pith.science/pith/YKXFH4NCPHRGQO6SKSOQ6DOBAH/action/replication_record"}},"created_at":"2026-05-18T02:58:12.246882+00:00","updated_at":"2026-05-18T02:58:12.246882+00:00"}