{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BVS6F2YSIR7JVEKG5RFQPDCJQG","short_pith_number":"pith:BVS6F2YS","canonical_record":{"source":{"id":"1602.06719","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-22T10:53:31Z","cross_cats_sorted":[],"title_canon_sha256":"f42aa7c923a5e724cc0e772e9667c0047e86907c3aecacb651ce7e7de7131bba","abstract_canon_sha256":"03d28567009ce6dbb060cbb937af2772daa57a0fd75487631028cfdf4d88cea6"},"schema_version":"1.0"},"canonical_sha256":"0d65e2eb12447e9a9146ec4b078c4981b4a0db0b288873055a43cde5383748bf","source":{"kind":"arxiv","id":"1602.06719","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06719","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06719v2","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06719","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"pith_short_12","alias_value":"BVS6F2YSIR7J","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BVS6F2YSIR7JVEKG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BVS6F2YS","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BVS6F2YSIR7JVEKG5RFQPDCJQG","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06719","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-22T10:53:31Z","cross_cats_sorted":[],"title_canon_sha256":"f42aa7c923a5e724cc0e772e9667c0047e86907c3aecacb651ce7e7de7131bba","abstract_canon_sha256":"03d28567009ce6dbb060cbb937af2772daa57a0fd75487631028cfdf4d88cea6"},"schema_version":"1.0"},"canonical_sha256":"0d65e2eb12447e9a9146ec4b078c4981b4a0db0b288873055a43cde5383748bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:07.650004Z","signature_b64":"4LiT6BlUqwx9L8SG9MF2e6KCmMvRqwQ92Qlq/9cMp0yhLhZc2jmQfeGz44prOjN1SoaSXRbPlJ+Rj8dprXPDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d65e2eb12447e9a9146ec4b078c4981b4a0db0b288873055a43cde5383748bf","last_reissued_at":"2026-05-18T01:20:07.648805Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:07.648805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06719","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:20:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4NiC/66qklTsf2QpAIYpPTWypDM9dJ3fBBI/4w+pY8e/bgTrUwWyFVn1iFL/2NO7dr8j1Sh0u4dPaskYoYvPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:20:14.336930Z"},"content_sha256":"6a5e260e9b4060f4d76678f1d1496828ad7c292a6c9b9b8fedf61e9342243335","schema_version":"1.0","event_id":"sha256:6a5e260e9b4060f4d76678f1d1496828ad7c292a6c9b9b8fedf61e9342243335"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BVS6F2YSIR7JVEKG5RFQPDCJQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On (p, q) Baskakov-Durrmeyer-Stancu Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Shikha Pandey, Vishnu Narayan Mishra","submitted_at":"2016-02-22T10:53:31Z","abstract_excerpt":"In the present paper, we introduce the generalized form of $(p,q)$ Baskakov-Durrmeyer Operators with Stancu type parameters. We derived the local and global approximation properties of these operators and obtained the convergence rate and behaviour for the Lipschitz functions. Moreover, we give comparisons and some illustrative graphics for the convergence of operators to some function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06719","kind":"arxiv","version":2},"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":"2026-05-18T01:20:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+8Ap5AMZoInRGcZBtfsgXxtwL59Xh+8/ytkngPpshFJwFDYWWu11qvu78V8KB3s18Y9nqWRunIaiJ5Usw3naDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:20:14.337266Z"},"content_sha256":"e1ea8bfa957dedf1228e1ea1f1a9112a23752c6378e0d6fcf69208cfe494d72f","schema_version":"1.0","event_id":"sha256:e1ea8bfa957dedf1228e1ea1f1a9112a23752c6378e0d6fcf69208cfe494d72f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/bundle.json","state_url":"https://pith.science/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/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":"2026-06-03T00:20:14Z","links":{"resolver":"https://pith.science/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG","bundle":"https://pith.science/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/bundle.json","state":"https://pith.science/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVS6F2YSIR7JVEKG5RFQPDCJQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BVS6F2YSIR7JVEKG5RFQPDCJQG","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":"03d28567009ce6dbb060cbb937af2772daa57a0fd75487631028cfdf4d88cea6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-22T10:53:31Z","title_canon_sha256":"f42aa7c923a5e724cc0e772e9667c0047e86907c3aecacb651ce7e7de7131bba"},"schema_version":"1.0","source":{"id":"1602.06719","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06719","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06719v2","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06719","created_at":"2026-05-18T01:20:07Z"},{"alias_kind":"pith_short_12","alias_value":"BVS6F2YSIR7J","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BVS6F2YSIR7JVEKG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BVS6F2YS","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:e1ea8bfa957dedf1228e1ea1f1a9112a23752c6378e0d6fcf69208cfe494d72f","target":"graph","created_at":"2026-05-18T01:20:07Z","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":"In the present paper, we introduce the generalized form of $(p,q)$ Baskakov-Durrmeyer Operators with Stancu type parameters. We derived the local and global approximation properties of these operators and obtained the convergence rate and behaviour for the Lipschitz functions. Moreover, we give comparisons and some illustrative graphics for the convergence of operators to some function.","authors_text":"Shikha Pandey, Vishnu Narayan Mishra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-22T10:53:31Z","title":"On (p, q) Baskakov-Durrmeyer-Stancu Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06719","kind":"arxiv","version":2},"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":"sha256:6a5e260e9b4060f4d76678f1d1496828ad7c292a6c9b9b8fedf61e9342243335","target":"record","created_at":"2026-05-18T01:20:07Z","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":"03d28567009ce6dbb060cbb937af2772daa57a0fd75487631028cfdf4d88cea6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-02-22T10:53:31Z","title_canon_sha256":"f42aa7c923a5e724cc0e772e9667c0047e86907c3aecacb651ce7e7de7131bba"},"schema_version":"1.0","source":{"id":"1602.06719","kind":"arxiv","version":2}},"canonical_sha256":"0d65e2eb12447e9a9146ec4b078c4981b4a0db0b288873055a43cde5383748bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d65e2eb12447e9a9146ec4b078c4981b4a0db0b288873055a43cde5383748bf","first_computed_at":"2026-05-18T01:20:07.648805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:07.648805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4LiT6BlUqwx9L8SG9MF2e6KCmMvRqwQ92Qlq/9cMp0yhLhZc2jmQfeGz44prOjN1SoaSXRbPlJ+Rj8dprXPDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:07.650004Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06719","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a5e260e9b4060f4d76678f1d1496828ad7c292a6c9b9b8fedf61e9342243335","sha256:e1ea8bfa957dedf1228e1ea1f1a9112a23752c6378e0d6fcf69208cfe494d72f"],"state_sha256":"05b4773bab32c54313de3307a026d291b1445791591c0b49877bb5f128fbe3c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RnqLQzSdPaeY2lBrhT3fQXsY3jJC6Opkrz4Vqws09r5ikyGnxm3h38qVuOjgvxZF2KvMqqhqhBUnzrNtIIgfDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:20:14.339156Z","bundle_sha256":"a43ffc87a6c1754f9f3404c79d2af98fccc5d36e49b0ac3c2389889442bd1990"}}