{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UYTBB2OG2ZQOWVFK4FYZEYJLBB","short_pith_number":"pith:UYTBB2OG","schema_version":"1.0","canonical_sha256":"a62610e9c6d660eb54aae17192612b0878492295cfa603637465a1363dddf28f","source":{"kind":"arxiv","id":"1801.08158","version":2},"attestation_state":"computed","paper":{"title":"Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Dario A. Bini, Leonardo Robol, Stefano Massei","submitted_at":"2018-01-24T19:16:55Z","abstract_excerpt":"A Quasi Toeplitz (QT) matrix is a semi-infinite matrix of the kind $A=T(a)+E$ where $T(a)=(a_{j-i})_{i,j\\in\\mathbb Z^+}$, $E=(e_{i,j})_{i,j\\in\\mathbb Z^+}$ is compact and the norms $\\lVert a\\rVert_{\\mathcal W} = \\sum_{i\\in\\mathbb Z}|a_i|$ and $\\lVert E \\rVert_2$ are finite. These properties allow to approximate any QT-matrix, within any given precision, by means of a finite number of parameters.\n  QT-matrices, equipped with the norm $\\lVert A \\rVert_{\\mathcal QT}=\\alpha\\lVert a\\rVert_{\\mathcal{W}} \\lVert E \\rVert_2$, for $\\alpha = (1+\\sqrt 5)/2$, are a Banach algebra with the standard arithmet"},"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":"1801.08158","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-24T19:16:55Z","cross_cats_sorted":[],"title_canon_sha256":"95442360987eba9cf27087478c15c8b201802289eb1f0dbf5e9d1ac3c57624b1","abstract_canon_sha256":"1a8109c85b6e996e05d28f4ed5a14079274bd08b9d300be02d454dcd8e06e888"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:21.588422Z","signature_b64":"jAFYRNHJunL5uZAMxELDGjqxP9HKMmNWrATk+ypxRpl3MKMlYTil6mN6wBw13Ulq0TtrhOJYZLUKcA6WNawABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a62610e9c6d660eb54aae17192612b0878492295cfa603637465a1363dddf28f","last_reissued_at":"2026-05-18T00:13:21.587876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:21.587876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Dario A. Bini, Leonardo Robol, Stefano Massei","submitted_at":"2018-01-24T19:16:55Z","abstract_excerpt":"A Quasi Toeplitz (QT) matrix is a semi-infinite matrix of the kind $A=T(a)+E$ where $T(a)=(a_{j-i})_{i,j\\in\\mathbb Z^+}$, $E=(e_{i,j})_{i,j\\in\\mathbb Z^+}$ is compact and the norms $\\lVert a\\rVert_{\\mathcal W} = \\sum_{i\\in\\mathbb Z}|a_i|$ and $\\lVert E \\rVert_2$ are finite. These properties allow to approximate any QT-matrix, within any given precision, by means of a finite number of parameters.\n  QT-matrices, equipped with the norm $\\lVert A \\rVert_{\\mathcal QT}=\\alpha\\lVert a\\rVert_{\\mathcal{W}} \\lVert E \\rVert_2$, for $\\alpha = (1+\\sqrt 5)/2$, are a Banach algebra with the standard arithmet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08158","kind":"arxiv","version":2},"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":"1801.08158","created_at":"2026-05-18T00:13:21.587940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.08158v2","created_at":"2026-05-18T00:13:21.587940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08158","created_at":"2026-05-18T00:13:21.587940+00:00"},{"alias_kind":"pith_short_12","alias_value":"UYTBB2OG2ZQO","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UYTBB2OG2ZQOWVFK","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UYTBB2OG","created_at":"2026-05-18T12:32:56.356000+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/UYTBB2OG2ZQOWVFK4FYZEYJLBB","json":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB.json","graph_json":"https://pith.science/api/pith-number/UYTBB2OG2ZQOWVFK4FYZEYJLBB/graph.json","events_json":"https://pith.science/api/pith-number/UYTBB2OG2ZQOWVFK4FYZEYJLBB/events.json","paper":"https://pith.science/paper/UYTBB2OG"},"agent_actions":{"view_html":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB","download_json":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB.json","view_paper":"https://pith.science/paper/UYTBB2OG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.08158&json=true","fetch_graph":"https://pith.science/api/pith-number/UYTBB2OG2ZQOWVFK4FYZEYJLBB/graph.json","fetch_events":"https://pith.science/api/pith-number/UYTBB2OG2ZQOWVFK4FYZEYJLBB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB/action/storage_attestation","attest_author":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB/action/author_attestation","sign_citation":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB/action/citation_signature","submit_replication":"https://pith.science/pith/UYTBB2OG2ZQOWVFK4FYZEYJLBB/action/replication_record"}},"created_at":"2026-05-18T00:13:21.587940+00:00","updated_at":"2026-05-18T00:13:21.587940+00:00"}