{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VW3BP5BGUSPAYV6FSNIZTJX7ST","short_pith_number":"pith:VW3BP5BG","schema_version":"1.0","canonical_sha256":"adb617f426a49e0c57c5935199a6ff94ef3bf53dc8b8449aef45996f206112da","source":{"kind":"arxiv","id":"1402.3216","version":1},"attestation_state":"computed","paper":{"title":"Power series of the operators $U_n^{\\varrho}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Elena Dorina St\\u{a}nil\\u{a}, Heiner Gonska, Ioan Ra\\c{s}a","submitted_at":"2014-02-13T17:00:24Z","abstract_excerpt":"We study power series of members of a class of positive linear operators reproducing linear function and constituting a link between genuine Bernstein-Durrmeyer and classical Bernstein operators. Using the eigenstructure of the operators we give a non-quantitative convergence result towards the inverse Voronovskaya operators. We include a quantitative statement via a smoothing approach."},"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":"1402.3216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-13T17:00:24Z","cross_cats_sorted":[],"title_canon_sha256":"39cf9a4dcf0b951a2f575b6d705dfc6bf5f8c29b2a661d7bf9fb43f6262adba6","abstract_canon_sha256":"8ad6dae525cb5c3d0b93a8c1194c06e2e186aed650fa4a544111b9f079de5eba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:07.187038Z","signature_b64":"tzSu56SoPJXtPqWbaNT/wvq6erNIHGabGYtGwm/doxsTSE7G8GjlshLxlg84WkZOY9BI7A8cy7RF7Kp3VpYBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adb617f426a49e0c57c5935199a6ff94ef3bf53dc8b8449aef45996f206112da","last_reissued_at":"2026-05-18T02:59:07.186492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:07.186492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Power series of the operators $U_n^{\\varrho}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Elena Dorina St\\u{a}nil\\u{a}, Heiner Gonska, Ioan Ra\\c{s}a","submitted_at":"2014-02-13T17:00:24Z","abstract_excerpt":"We study power series of members of a class of positive linear operators reproducing linear function and constituting a link between genuine Bernstein-Durrmeyer and classical Bernstein operators. Using the eigenstructure of the operators we give a non-quantitative convergence result towards the inverse Voronovskaya operators. We include a quantitative statement via a smoothing approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3216","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":"1402.3216","created_at":"2026-05-18T02:59:07.186578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.3216v1","created_at":"2026-05-18T02:59:07.186578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3216","created_at":"2026-05-18T02:59:07.186578+00:00"},{"alias_kind":"pith_short_12","alias_value":"VW3BP5BGUSPA","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VW3BP5BGUSPAYV6F","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VW3BP5BG","created_at":"2026-05-18T12:28:54.890064+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/VW3BP5BGUSPAYV6FSNIZTJX7ST","json":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST.json","graph_json":"https://pith.science/api/pith-number/VW3BP5BGUSPAYV6FSNIZTJX7ST/graph.json","events_json":"https://pith.science/api/pith-number/VW3BP5BGUSPAYV6FSNIZTJX7ST/events.json","paper":"https://pith.science/paper/VW3BP5BG"},"agent_actions":{"view_html":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST","download_json":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST.json","view_paper":"https://pith.science/paper/VW3BP5BG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.3216&json=true","fetch_graph":"https://pith.science/api/pith-number/VW3BP5BGUSPAYV6FSNIZTJX7ST/graph.json","fetch_events":"https://pith.science/api/pith-number/VW3BP5BGUSPAYV6FSNIZTJX7ST/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST/action/storage_attestation","attest_author":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST/action/author_attestation","sign_citation":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST/action/citation_signature","submit_replication":"https://pith.science/pith/VW3BP5BGUSPAYV6FSNIZTJX7ST/action/replication_record"}},"created_at":"2026-05-18T02:59:07.186578+00:00","updated_at":"2026-05-18T02:59:07.186578+00:00"}