{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SGFWOE3R5DHYNAFTSZURGKHR7E","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":"2dc65219c386829511026d56ad8694899b4561c94b38cf5aa5615a53f72e16a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-16T06:15:41Z","title_canon_sha256":"9e85d3d1bdb922a22f18d548a1b1d5ab2d5d0ac16734d8270757f8cd26894849"},"schema_version":"1.0","source":{"id":"1810.06829","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06829","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06829v1","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06829","created_at":"2026-05-18T00:03:11Z"},{"alias_kind":"pith_short_12","alias_value":"SGFWOE3R5DHY","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SGFWOE3R5DHYNAFT","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SGFWOE3R","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:eae49247a5a672d1f4607a95c45130095a2709d8cb3a0845c393f0b30a99cf15","target":"graph","created_at":"2026-05-18T00:03:11Z","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":"The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.","authors_text":"Ana Maria Acu, Gancho Tachev, Vijay Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-16T06:15:41Z","title":"Better numerical approximation by Durrmeyer type operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06829","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:adf7682aef36669eb1f8a8802b73da0a18320c15264397f4b75e97db6f8453ce","target":"record","created_at":"2026-05-18T00:03:11Z","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":"2dc65219c386829511026d56ad8694899b4561c94b38cf5aa5615a53f72e16a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-16T06:15:41Z","title_canon_sha256":"9e85d3d1bdb922a22f18d548a1b1d5ab2d5d0ac16734d8270757f8cd26894849"},"schema_version":"1.0","source":{"id":"1810.06829","kind":"arxiv","version":1}},"canonical_sha256":"918b671371e8cf8680b396691328f1f929f543ba2df972654a13bd0760b353ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"918b671371e8cf8680b396691328f1f929f543ba2df972654a13bd0760b353ec","first_computed_at":"2026-05-18T00:03:11.424873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:11.424873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fj+EtUDaJNam4fZYkNQ+u+A5qB1ibfxiz+QxFUrf7chH6j/MCeoc5K0jy5RSvedi68iFffvMOac01KSqVaziBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:11.425557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06829","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adf7682aef36669eb1f8a8802b73da0a18320c15264397f4b75e97db6f8453ce","sha256:eae49247a5a672d1f4607a95c45130095a2709d8cb3a0845c393f0b30a99cf15"],"state_sha256":"73a87c19d0a19ebdc04f50dd37457a3308a66e5e50414ba4469376ae87488b26"}