{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HZIUGFXSZMSSYUHK64HPDVTF6T","short_pith_number":"pith:HZIUGFXS","canonical_record":{"source":{"id":"1402.2520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-11T15:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"888a10c2798e8a051d561e824201abebd6427f548fd957e858d5c89a5b818fe2","abstract_canon_sha256":"fbf9fb8d47952719f0e8d2d05d6799d2b7a9f01a8855bec2ed0e52e5a0bceb83"},"schema_version":"1.0"},"canonical_sha256":"3e514316f2cb252c50eaf70ef1d665f4feab19295b56d8a6d4a3c6ce83b7759c","source":{"kind":"arxiv","id":"1402.2520","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2520","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2520v1","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2520","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"pith_short_12","alias_value":"HZIUGFXSZMSS","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HZIUGFXSZMSSYUHK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HZIUGFXS","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HZIUGFXSZMSSYUHK64HPDVTF6T","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-11T15:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"888a10c2798e8a051d561e824201abebd6427f548fd957e858d5c89a5b818fe2","abstract_canon_sha256":"fbf9fb8d47952719f0e8d2d05d6799d2b7a9f01a8855bec2ed0e52e5a0bceb83"},"schema_version":"1.0"},"canonical_sha256":"3e514316f2cb252c50eaf70ef1d665f4feab19295b56d8a6d4a3c6ce83b7759c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:19.451676Z","signature_b64":"jlUfE8wksSbkm9S1GWwlRfxDd8eDfPKgJN2hstwNxmJ3qlTNqfrbPVyQTMfqq703u8jeNwJvkTfVkgzkca66BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e514316f2cb252c50eaf70ef1d665f4feab19295b56d8a6d4a3c6ce83b7759c","last_reissued_at":"2026-05-18T02:59:19.450993Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:19.450993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2520","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":"2026-05-18T02:59:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p/wkuGj/yeMwMtOFtXb93psR+8B3SdZc8/82qpbimXqwlI2fg99uAhq4ZCQW9CgpnMFW0l8NmyXMkL9F0gXMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:26:15.767101Z"},"content_sha256":"514f8014d4f2a07acfe9ab4d59c56cbe18e42bfaed7089614ce10a7c6d414af8","schema_version":"1.0","event_id":"sha256:514f8014d4f2a07acfe9ab4d59c56cbe18e42bfaed7089614ce10a7c6d414af8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HZIUGFXSZMSSYUHK64HPDVTF6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sur la suite des op\\'erateurs Bernstein compos\\'es","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Heiner Gonska, Ioan Ra\\c{s}a","submitted_at":"2014-02-11T15:21:52Z","abstract_excerpt":"We consider a sequence of composite Bernstein operators and the quadrature formulae associated with them. Upper bounds for the approximation error of continuous functions and for the approximation of integrals of continuous functions are given. The bounds are described in terms of moduli of continuity of order one and two. Two inequalities of Tchebycheff-Gr\\\"uss-type are also included."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2520","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":"2026-05-18T02:59:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNjbGqmFCQ4lYrNWmgGw4hjakcPmDyU2adaXVbhaUfyXnXIU4q+y655hUCF4QiXIGPscftYLbcvw4Okue8eRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:26:15.767455Z"},"content_sha256":"07154ca9d2de43eab6ce3c6609db7fc0b993cffbbe155124fc4bf67e61dc2ca8","schema_version":"1.0","event_id":"sha256:07154ca9d2de43eab6ce3c6609db7fc0b993cffbbe155124fc4bf67e61dc2ca8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/bundle.json","state_url":"https://pith.science/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/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":"2026-06-23T05:26:15Z","links":{"resolver":"https://pith.science/pith/HZIUGFXSZMSSYUHK64HPDVTF6T","bundle":"https://pith.science/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/bundle.json","state":"https://pith.science/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZIUGFXSZMSSYUHK64HPDVTF6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HZIUGFXSZMSSYUHK64HPDVTF6T","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":"fbf9fb8d47952719f0e8d2d05d6799d2b7a9f01a8855bec2ed0e52e5a0bceb83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-11T15:21:52Z","title_canon_sha256":"888a10c2798e8a051d561e824201abebd6427f548fd957e858d5c89a5b818fe2"},"schema_version":"1.0","source":{"id":"1402.2520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2520","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2520v1","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2520","created_at":"2026-05-18T02:59:19Z"},{"alias_kind":"pith_short_12","alias_value":"HZIUGFXSZMSS","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HZIUGFXSZMSSYUHK","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HZIUGFXS","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:07154ca9d2de43eab6ce3c6609db7fc0b993cffbbe155124fc4bf67e61dc2ca8","target":"graph","created_at":"2026-05-18T02:59:19Z","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 sequence of composite Bernstein operators and the quadrature formulae associated with them. Upper bounds for the approximation error of continuous functions and for the approximation of integrals of continuous functions are given. The bounds are described in terms of moduli of continuity of order one and two. Two inequalities of Tchebycheff-Gr\\\"uss-type are also included.","authors_text":"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":"2014-02-11T15:21:52Z","title":"Sur la suite des op\\'erateurs Bernstein compos\\'es"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2520","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":"sha256:514f8014d4f2a07acfe9ab4d59c56cbe18e42bfaed7089614ce10a7c6d414af8","target":"record","created_at":"2026-05-18T02:59:19Z","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":"fbf9fb8d47952719f0e8d2d05d6799d2b7a9f01a8855bec2ed0e52e5a0bceb83","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-02-11T15:21:52Z","title_canon_sha256":"888a10c2798e8a051d561e824201abebd6427f548fd957e858d5c89a5b818fe2"},"schema_version":"1.0","source":{"id":"1402.2520","kind":"arxiv","version":1}},"canonical_sha256":"3e514316f2cb252c50eaf70ef1d665f4feab19295b56d8a6d4a3c6ce83b7759c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e514316f2cb252c50eaf70ef1d665f4feab19295b56d8a6d4a3c6ce83b7759c","first_computed_at":"2026-05-18T02:59:19.450993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:19.450993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jlUfE8wksSbkm9S1GWwlRfxDd8eDfPKgJN2hstwNxmJ3qlTNqfrbPVyQTMfqq703u8jeNwJvkTfVkgzkca66BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:19.451676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:514f8014d4f2a07acfe9ab4d59c56cbe18e42bfaed7089614ce10a7c6d414af8","sha256:07154ca9d2de43eab6ce3c6609db7fc0b993cffbbe155124fc4bf67e61dc2ca8"],"state_sha256":"26d39a632e1ba7d68e976152055cd866c5bce95a4b0d0d7388e4d1a6b344d528"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hw91PyeRVUW2EhJ/9lWB1agopvl8mGNPBmwsG2QJn5SISHCzR4Tw+MKzpRDznWm0zF5ESdzVKS9vB1fx0N83AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T05:26:15.769532Z","bundle_sha256":"bbf2ec49714f4a07270ae06d7b25f3e508edede2f3680e4305e5b882700a683c"}}