{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:U576QXOWD4ZW4ALJUOOHQGMUUR","short_pith_number":"pith:U576QXOW","canonical_record":{"source":{"id":"1402.5040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:38:45Z","cross_cats_sorted":[],"title_canon_sha256":"44cee8e5de79e3f9e11658b217411bd7b9aab0a68ad12a3c6fbf40685f7935f3","abstract_canon_sha256":"af08a327ba931662f02201366960cbf33666d977bc4d13fa0b5d320cf5980c34"},"schema_version":"1.0"},"canonical_sha256":"a77fe85dd61f336e0169a39c781994a4660af23e99d81ed87d174b1c9de7a119","source":{"kind":"arxiv","id":"1402.5040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5040","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5040v1","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5040","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"U576QXOWD4ZW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U576QXOWD4ZW4ALJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U576QXOW","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:U576QXOWD4ZW4ALJUOOHQGMUUR","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:38:45Z","cross_cats_sorted":[],"title_canon_sha256":"44cee8e5de79e3f9e11658b217411bd7b9aab0a68ad12a3c6fbf40685f7935f3","abstract_canon_sha256":"af08a327ba931662f02201366960cbf33666d977bc4d13fa0b5d320cf5980c34"},"schema_version":"1.0"},"canonical_sha256":"a77fe85dd61f336e0169a39c781994a4660af23e99d81ed87d174b1c9de7a119","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:31.324667Z","signature_b64":"6jXJ0xAPwU28fo3/yLkHyme0ORgelwkjGNuzlij715GNNznXr4R881Np5WjQlUSG5aHpE35KzJ8mKSr8/BmoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a77fe85dd61f336e0169a39c781994a4660af23e99d81ed87d174b1c9de7a119","last_reissued_at":"2026-05-18T02:58:31.324119Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:31.324119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5040","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MhImaLVwBvgJkyRaLy1iEO1zLbl0IUPTPlINgIm9ozmK+Hfpe5BX+xpfG/oqUMg5CSeAGnjGbp4S/7HBiXNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T04:21:03.231347Z"},"content_sha256":"0b8c39e97ab1a881d1de2ed614db980ffdc127b22ed654166dff3cac2ae5f70d","schema_version":"1.0","event_id":"sha256:0b8c39e97ab1a881d1de2ed614db980ffdc127b22ed654166dff3cac2ae5f70d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:U576QXOWD4ZW4ALJUOOHQGMUUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lagrange-type operators associated with $U_n^{\\varrho}$","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":"2014-02-20T15:38:45Z","abstract_excerpt":"We consider a class of positive linear operators which, among others, constitute a link between the classical Bernstein operators and the genuine Bernstein-Durrmeyer mappings. The focus is on their relation to certain Lagrange-type interpolators associated to them, a well known feature in the theory of Bernstein operators. Considerations concerning iterated Boolean sums and the derivatives of the operator images are included. Our main tool is the eigenstructure of the members of the class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5040","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"puoAYWft1Anc90DCOrc+o+Lo/XKQrShgYqB9/AKqt2jjBYr3UemZZOI9XDSnPhNcuJA1Wvvnwxrf6PkINA96Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T04:21:03.231703Z"},"content_sha256":"bea850556af006dc328ad567b9dbe315ea4038d6a4bd74d9251f3987402e2631","schema_version":"1.0","event_id":"sha256:bea850556af006dc328ad567b9dbe315ea4038d6a4bd74d9251f3987402e2631"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/bundle.json","state_url":"https://pith.science/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T04:21:03Z","links":{"resolver":"https://pith.science/pith/U576QXOWD4ZW4ALJUOOHQGMUUR","bundle":"https://pith.science/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/bundle.json","state":"https://pith.science/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U576QXOWD4ZW4ALJUOOHQGMUUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:U576QXOWD4ZW4ALJUOOHQGMUUR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"af08a327ba931662f02201366960cbf33666d977bc4d13fa0b5d320cf5980c34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:38:45Z","title_canon_sha256":"44cee8e5de79e3f9e11658b217411bd7b9aab0a68ad12a3c6fbf40685f7935f3"},"schema_version":"1.0","source":{"id":"1402.5040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5040","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5040v1","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5040","created_at":"2026-05-18T02:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"U576QXOWD4ZW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U576QXOWD4ZW4ALJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U576QXOW","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:bea850556af006dc328ad567b9dbe315ea4038d6a4bd74d9251f3987402e2631","target":"graph","created_at":"2026-05-18T02:58:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider a class of positive linear operators which, among others, constitute a link between the classical Bernstein operators and the genuine Bernstein-Durrmeyer mappings. The focus is on their relation to certain Lagrange-type interpolators associated to them, a well known feature in the theory of Bernstein operators. Considerations concerning iterated Boolean sums and the derivatives of the operator images are included. Our main tool is the eigenstructure of the members of the class.","authors_text":"Elena-Dorina St\\u{a}nil\\u{a}, Heiner Gonska, Ioan Ra\\c{s}a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:38:45Z","title":"Lagrange-type operators associated with $U_n^{\\varrho}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5040","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0b8c39e97ab1a881d1de2ed614db980ffdc127b22ed654166dff3cac2ae5f70d","target":"record","created_at":"2026-05-18T02:58:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"af08a327ba931662f02201366960cbf33666d977bc4d13fa0b5d320cf5980c34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-20T15:38:45Z","title_canon_sha256":"44cee8e5de79e3f9e11658b217411bd7b9aab0a68ad12a3c6fbf40685f7935f3"},"schema_version":"1.0","source":{"id":"1402.5040","kind":"arxiv","version":1}},"canonical_sha256":"a77fe85dd61f336e0169a39c781994a4660af23e99d81ed87d174b1c9de7a119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a77fe85dd61f336e0169a39c781994a4660af23e99d81ed87d174b1c9de7a119","first_computed_at":"2026-05-18T02:58:31.324119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:31.324119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6jXJ0xAPwU28fo3/yLkHyme0ORgelwkjGNuzlij715GNNznXr4R881Np5WjQlUSG5aHpE35KzJ8mKSr8/BmoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:31.324667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b8c39e97ab1a881d1de2ed614db980ffdc127b22ed654166dff3cac2ae5f70d","sha256:bea850556af006dc328ad567b9dbe315ea4038d6a4bd74d9251f3987402e2631"],"state_sha256":"cafa2b353bb7efa370ba90950f8de75b2758be8dfd0d29a4c6a60172d3d92956"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W3J8f1c6+tlnICsK6j39OKYjBQt7QSMXVwd08RKLacqP2O/67YTfI7gr/GPStIk6LXzECBPildfqQeLTLYQQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T04:21:03.233801Z","bundle_sha256":"764422c364ac17a769b8b30ccc4be5568dba1b448d284f3f89f76318058ed369"}}