{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4VYKFV62AWNJNZR2Q43CCV43QL","short_pith_number":"pith:4VYKFV62","schema_version":"1.0","canonical_sha256":"e570a2d7da059a96e63a873621579b82c6f536b15b75bcf2c27be1e08ab1d65a","source":{"kind":"arxiv","id":"1810.07820","version":1},"attestation_state":"computed","paper":{"title":"A class of Schur multipliers of matrices with operator entries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"I. Garc\\'ia-Bayona, O. Blasco","submitted_at":"2018-10-17T22:13:54Z","abstract_excerpt":"In this paper, we will consider matrices with entries in the space of operators $\\mathcal{B}(H)$, where $H$ is a separable Hilbert space, and consider the class of (left or right) Schur multipliers that can be approached in the multiplier norm by matrices with a finite number of diagonals. We will concentrate on the case of Toeplitz matrices and of upper triangular matrices to get some connections with spaces of vector-valued functions."},"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":"1810.07820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-10-17T22:13:54Z","cross_cats_sorted":[],"title_canon_sha256":"807bc7f8380ff6ebbcdc3d36972d1e115fc4c319c9a40e051bc4a148741001e5","abstract_canon_sha256":"a8f787a1e5514031dafbfa5494bec882884d74610786fc7dff8448d71c9e6414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:50.337450Z","signature_b64":"j+9iUX832lXzO0hUg6YdyTSqiHS+k72V5axNnYXepc/7eH2M1ND1Nriwmoyj5oh8Lt/Qqv+CPu+mfwY5Zl2DCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e570a2d7da059a96e63a873621579b82c6f536b15b75bcf2c27be1e08ab1d65a","last_reissued_at":"2026-05-18T00:02:50.336977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:50.336977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A class of Schur multipliers of matrices with operator entries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"I. Garc\\'ia-Bayona, O. Blasco","submitted_at":"2018-10-17T22:13:54Z","abstract_excerpt":"In this paper, we will consider matrices with entries in the space of operators $\\mathcal{B}(H)$, where $H$ is a separable Hilbert space, and consider the class of (left or right) Schur multipliers that can be approached in the multiplier norm by matrices with a finite number of diagonals. We will concentrate on the case of Toeplitz matrices and of upper triangular matrices to get some connections with spaces of vector-valued functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07820","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":"1810.07820","created_at":"2026-05-18T00:02:50.337049+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.07820v1","created_at":"2026-05-18T00:02:50.337049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07820","created_at":"2026-05-18T00:02:50.337049+00:00"},{"alias_kind":"pith_short_12","alias_value":"4VYKFV62AWNJ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4VYKFV62AWNJNZR2","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4VYKFV62","created_at":"2026-05-18T12:32:05.422762+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/4VYKFV62AWNJNZR2Q43CCV43QL","json":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL.json","graph_json":"https://pith.science/api/pith-number/4VYKFV62AWNJNZR2Q43CCV43QL/graph.json","events_json":"https://pith.science/api/pith-number/4VYKFV62AWNJNZR2Q43CCV43QL/events.json","paper":"https://pith.science/paper/4VYKFV62"},"agent_actions":{"view_html":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL","download_json":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL.json","view_paper":"https://pith.science/paper/4VYKFV62","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.07820&json=true","fetch_graph":"https://pith.science/api/pith-number/4VYKFV62AWNJNZR2Q43CCV43QL/graph.json","fetch_events":"https://pith.science/api/pith-number/4VYKFV62AWNJNZR2Q43CCV43QL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL/action/storage_attestation","attest_author":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL/action/author_attestation","sign_citation":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL/action/citation_signature","submit_replication":"https://pith.science/pith/4VYKFV62AWNJNZR2Q43CCV43QL/action/replication_record"}},"created_at":"2026-05-18T00:02:50.337049+00:00","updated_at":"2026-05-18T00:02:50.337049+00:00"}