{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ULISSDMUDFHG7U7N6I5JIX5C5T","short_pith_number":"pith:ULISSDMU","schema_version":"1.0","canonical_sha256":"a2d1290d94194e6fd3edf23a945fa2eccf659cff940935162b751cba2e0fcb0f","source":{"kind":"arxiv","id":"1008.3283","version":1},"attestation_state":"computed","paper":{"title":"About radial Toeplitz operators on Segal-Bargmann and $l^2$ spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Gerardo L. Rossini, Marcela Sanmartino, Romina A. Ram\\'irez","submitted_at":"2010-08-19T12:07:06Z","abstract_excerpt":"We discuss Toeplitz operators on the Segal-Bargmann space as functional realizations of anti-Wick operators on the Fock space. In the special case of radial symbols we exploit the isometric mapping between the Segal-Bargmann space and $l^2$ complex sequences in order to establish conditions such that an equivalence between Toeplitz operators and diagonal operators on $l^2$ holds. We also analyze the inverse problem of mapping diagonal operators on $l^2$ into Toeplitz form. The composition problem of Toeplitz operators with radial symbols is reviewed as an application. Our notation and basic ex"},"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":"1008.3283","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-08-19T12:07:06Z","cross_cats_sorted":[],"title_canon_sha256":"6d4f99917d40c5e779c38a36139c1f63e9058c4d94eeadf0497dd17e7589e814","abstract_canon_sha256":"cf4e14a1d52496234e196c82b159562726f073761fa0f5341a087dde1dac615b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:34.021580Z","signature_b64":"r0CtMx5WHq3axZeFyqL5RfkvxcMgMkykltImp+EOwR20caEDbnNl9JZZrSIJMGbRaXch/IGV8sUTCs/PU4EFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2d1290d94194e6fd3edf23a945fa2eccf659cff940935162b751cba2e0fcb0f","last_reissued_at":"2026-05-17T23:44:34.021045Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:34.021045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"About radial Toeplitz operators on Segal-Bargmann and $l^2$ spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Gerardo L. Rossini, Marcela Sanmartino, Romina A. Ram\\'irez","submitted_at":"2010-08-19T12:07:06Z","abstract_excerpt":"We discuss Toeplitz operators on the Segal-Bargmann space as functional realizations of anti-Wick operators on the Fock space. In the special case of radial symbols we exploit the isometric mapping between the Segal-Bargmann space and $l^2$ complex sequences in order to establish conditions such that an equivalence between Toeplitz operators and diagonal operators on $l^2$ holds. We also analyze the inverse problem of mapping diagonal operators on $l^2$ into Toeplitz form. The composition problem of Toeplitz operators with radial symbols is reviewed as an application. Our notation and basic ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3283","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":"1008.3283","created_at":"2026-05-17T23:44:34.021124+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.3283v1","created_at":"2026-05-17T23:44:34.021124+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3283","created_at":"2026-05-17T23:44:34.021124+00:00"},{"alias_kind":"pith_short_12","alias_value":"ULISSDMUDFHG","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"ULISSDMUDFHG7U7N","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"ULISSDMU","created_at":"2026-05-18T12:26:15.391820+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/ULISSDMUDFHG7U7N6I5JIX5C5T","json":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T.json","graph_json":"https://pith.science/api/pith-number/ULISSDMUDFHG7U7N6I5JIX5C5T/graph.json","events_json":"https://pith.science/api/pith-number/ULISSDMUDFHG7U7N6I5JIX5C5T/events.json","paper":"https://pith.science/paper/ULISSDMU"},"agent_actions":{"view_html":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T","download_json":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T.json","view_paper":"https://pith.science/paper/ULISSDMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.3283&json=true","fetch_graph":"https://pith.science/api/pith-number/ULISSDMUDFHG7U7N6I5JIX5C5T/graph.json","fetch_events":"https://pith.science/api/pith-number/ULISSDMUDFHG7U7N6I5JIX5C5T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T/action/storage_attestation","attest_author":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T/action/author_attestation","sign_citation":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T/action/citation_signature","submit_replication":"https://pith.science/pith/ULISSDMUDFHG7U7N6I5JIX5C5T/action/replication_record"}},"created_at":"2026-05-17T23:44:34.021124+00:00","updated_at":"2026-05-17T23:44:34.021124+00:00"}