{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KCPTJ43KYD7WOGFSAJZFNHOPLM","short_pith_number":"pith:KCPTJ43K","schema_version":"1.0","canonical_sha256":"509f34f36ac0ff6718b20272569dcf5b3348cb85ad4e8169d3e50cdd3801a7de","source":{"kind":"arxiv","id":"1605.06768","version":1},"attestation_state":"computed","paper":{"title":"A generalization of Kantorovich operators for convex compact subsets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Francesco Altomare, Ioan Rasa, Mirella Cappelletti Montano, Vita Leonessa","submitted_at":"2016-05-22T10:25:55Z","abstract_excerpt":"In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability Borel measures. By considering special cases of these parameters for particular convex compact subsets we obtain the classical Kantorovich operators defined in the one-dimensional and multidimensional setting together with several of their wide-ranging generalizations scattered in the literature. We investigate the approximation properties of thes"},"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":"1605.06768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-22T10:25:55Z","cross_cats_sorted":[],"title_canon_sha256":"96b3653b3ebdfaf8a22621c9ac2c55f2ac4f9b7a5b1426dc742bc95108c5b411","abstract_canon_sha256":"2400340a246c72f24c6de90d325a11e6f281e90fa83ba3cb43646351469ec108"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:44.552287Z","signature_b64":"rMW7R7FMT36fbqhSwxDK2dqrJ9TAfM+GIw2INpteDa2T+7AraQDwg+kRDZzBEbx+nfMggCDvxar7niiXsQe8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"509f34f36ac0ff6718b20272569dcf5b3348cb85ad4e8169d3e50cdd3801a7de","last_reissued_at":"2026-05-18T00:32:44.551574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:44.551574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalization of Kantorovich operators for convex compact subsets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Francesco Altomare, Ioan Rasa, Mirella Cappelletti Montano, Vita Leonessa","submitted_at":"2016-05-22T10:25:55Z","abstract_excerpt":"In this paper we introduce and study a new sequence of positive linear operators acting on function spaces defined on a convex compact subset. Their construction depends on a given Markov operator, a positive real number and a sequence of probability Borel measures. By considering special cases of these parameters for particular convex compact subsets we obtain the classical Kantorovich operators defined in the one-dimensional and multidimensional setting together with several of their wide-ranging generalizations scattered in the literature. We investigate the approximation properties of thes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06768","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":"1605.06768","created_at":"2026-05-18T00:32:44.551706+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.06768v1","created_at":"2026-05-18T00:32:44.551706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06768","created_at":"2026-05-18T00:32:44.551706+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCPTJ43KYD7W","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCPTJ43KYD7WOGFS","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCPTJ43K","created_at":"2026-05-18T12:30:25.849896+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/KCPTJ43KYD7WOGFSAJZFNHOPLM","json":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM.json","graph_json":"https://pith.science/api/pith-number/KCPTJ43KYD7WOGFSAJZFNHOPLM/graph.json","events_json":"https://pith.science/api/pith-number/KCPTJ43KYD7WOGFSAJZFNHOPLM/events.json","paper":"https://pith.science/paper/KCPTJ43K"},"agent_actions":{"view_html":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM","download_json":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM.json","view_paper":"https://pith.science/paper/KCPTJ43K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.06768&json=true","fetch_graph":"https://pith.science/api/pith-number/KCPTJ43KYD7WOGFSAJZFNHOPLM/graph.json","fetch_events":"https://pith.science/api/pith-number/KCPTJ43KYD7WOGFSAJZFNHOPLM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM/action/storage_attestation","attest_author":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM/action/author_attestation","sign_citation":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM/action/citation_signature","submit_replication":"https://pith.science/pith/KCPTJ43KYD7WOGFSAJZFNHOPLM/action/replication_record"}},"created_at":"2026-05-18T00:32:44.551706+00:00","updated_at":"2026-05-18T00:32:44.551706+00:00"}