{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5Q3FFEHFCWWABKAQHT55DXPPUY","short_pith_number":"pith:5Q3FFEHF","schema_version":"1.0","canonical_sha256":"ec365290e515ac00a8103cfbd1ddefa606b5b4dccf4252475b9a92698a731d41","source":{"kind":"arxiv","id":"1104.0207","version":2},"attestation_state":"computed","paper":{"title":"Similarity results for operators of class C_0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Rapha\\\"el Clou\\^atre","submitted_at":"2011-04-01T16:02:43Z","abstract_excerpt":"If T is a multiplicity-free contraction of class C_0 with minimal function m_T, then it is quasisimilar to the Jordan block S(m_T). In case m_T is a Blaschke product with simple roots forming a Carleson sequence, we show that the relation between T and S(m_T) can be strengthened to similarity. Under the additional assumption that u(T) has closed range for every inner divisor u of m_T, the result also holds in the more general setting where the roots have bounded multiplicities."},"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":"1104.0207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-01T16:02:43Z","cross_cats_sorted":[],"title_canon_sha256":"04fdc6bda85c59a548b0d796b76e148efc5a5279c0b5a49b5417bdaf5837609e","abstract_canon_sha256":"81d490000eef9c28b9a07217e128753cc6423dce436e1f08145fb098dabc9f64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:39.585476Z","signature_b64":"Ywtzv+wdZCc2Kz58LOcfnH5tvsinoPOKy+sjXUneinAIAUyNkvxR5/GaKJM8D1dv9/6tePWIN9BkryxngBhZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec365290e515ac00a8103cfbd1ddefa606b5b4dccf4252475b9a92698a731d41","last_reissued_at":"2026-05-18T04:11:39.585008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:39.585008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Similarity results for operators of class C_0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Rapha\\\"el Clou\\^atre","submitted_at":"2011-04-01T16:02:43Z","abstract_excerpt":"If T is a multiplicity-free contraction of class C_0 with minimal function m_T, then it is quasisimilar to the Jordan block S(m_T). In case m_T is a Blaschke product with simple roots forming a Carleson sequence, we show that the relation between T and S(m_T) can be strengthened to similarity. Under the additional assumption that u(T) has closed range for every inner divisor u of m_T, the result also holds in the more general setting where the roots have bounded multiplicities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0207","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":"1104.0207","created_at":"2026-05-18T04:11:39.585080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.0207v2","created_at":"2026-05-18T04:11:39.585080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0207","created_at":"2026-05-18T04:11:39.585080+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Q3FFEHFCWWA","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Q3FFEHFCWWABKAQ","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Q3FFEHF","created_at":"2026-05-18T12:26:20.644004+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/5Q3FFEHFCWWABKAQHT55DXPPUY","json":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY.json","graph_json":"https://pith.science/api/pith-number/5Q3FFEHFCWWABKAQHT55DXPPUY/graph.json","events_json":"https://pith.science/api/pith-number/5Q3FFEHFCWWABKAQHT55DXPPUY/events.json","paper":"https://pith.science/paper/5Q3FFEHF"},"agent_actions":{"view_html":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY","download_json":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY.json","view_paper":"https://pith.science/paper/5Q3FFEHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.0207&json=true","fetch_graph":"https://pith.science/api/pith-number/5Q3FFEHFCWWABKAQHT55DXPPUY/graph.json","fetch_events":"https://pith.science/api/pith-number/5Q3FFEHFCWWABKAQHT55DXPPUY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY/action/storage_attestation","attest_author":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY/action/author_attestation","sign_citation":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY/action/citation_signature","submit_replication":"https://pith.science/pith/5Q3FFEHFCWWABKAQHT55DXPPUY/action/replication_record"}},"created_at":"2026-05-18T04:11:39.585080+00:00","updated_at":"2026-05-18T04:11:39.585080+00:00"}