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Mexicana, 26(2)(2020) 349–359","work_id":"9b659b0f-c299-474a-94aa-32c0af6d6712","year":2020}],"snapshot_sha256":"df7c399f3e6d2b68839630b38c802bc2f7671fee7f73446c15cd832104354bc7"},"source":{"id":"2605.18412","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T23:25:26.397572Z","id":"7afa2f5e-45a5-4e59-8656-f46b5489440f","model_set":{"reader":"grok-4.3"},"one_line_summary":"The paper studies properties of the Jackson q-difference operator for convex univalent functions with complex q, expressed as a Hadamard product.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Jackson's difference operator for convex univalent functions equals the Hadamard product of two power series even for complex q.","strongest_claim":"Jackson's difference operator for convex univalent functions in |z|<1 with complex parameter q can be considered as a Hadamard product of two power series.","weakest_assumption":"The functions under consideration are analytic, convex, and univalent in the open unit disk, and the complex q is chosen so that the difference operator remains well-defined and the Hadamard product representation holds."}},"verdict_id":"7afa2f5e-45a5-4e59-8656-f46b5489440f"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fa3bb8c7c01f770742e96be54a646395e120186da41a99f44bee195560dc3b2f","target":"record","created_at":"2026-05-20T00:05:59Z","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":"1dabaed36baf6f2655d84fc242da602ea7f41784ea8fb16b1f705033c1b641d4","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2026-05-18T13:51:36Z","title_canon_sha256":"34d15821a499a89e9c5dc1ff5ca05c456559929467b5d729b25f429228f4ebc9"},"schema_version":"1.0","source":{"id":"2605.18412","kind":"arxiv","version":1}},"canonical_sha256":"e30f73f9e5d41a5af7dec2d3b1e52ae1a1a1545d040d75cc133732c5d2301f3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e30f73f9e5d41a5af7dec2d3b1e52ae1a1a1545d040d75cc133732c5d2301f3f","first_computed_at":"2026-05-20T00:05:59.456861Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:05:59.456861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UxxKBV7iwPhBRf6jhZlWAbJ6U+oEo5FldcM2fJ3tE+GvvfH9aDkx9pjBYJF7qQNlrlAr6pOLpBjyZpdiQz4qBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:05:59.457634Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18412","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa3bb8c7c01f770742e96be54a646395e120186da41a99f44bee195560dc3b2f","sha256:a1ddaeafeae8cb3a8a02f3a47c3348eafd1dbd2e884963192ab715bacc7051b0"],"state_sha256":"55c674d078e362bbd38d7306cd9326e3d26aca1d480ec6d7e4b0e75036d9b4a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6nGkJDtvET3FHnHird8/ludahMWh6UNbctNUu1JB+f56pibCR2I3RcehWDSntWU100UwZMoHQLf36LJQheEyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:08:55.633545Z","bundle_sha256":"6f8d73eebc6b0e8a7a9eecf70f445fcfa63e9e41e78aef02182f66762ac57b2e"}}