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Given nonnegative real numbers $\\kappa_1, \\ldots, \\kappa_N$, quaternions $p_1, \\ldots, p_N$ all of modulus $1$, so that the $2$-spheres determined by each point do not intersect and $p_u \\neq 1$ for $u = 1,\\ldots, N$, and quaternions $s_1, \\ldots, s_N$, we wish to find a slice hyperholomorphic Schur function $s$ so that $$\\lim_{\\substack{r\\rightarrow 1\\\\ r\\in(0,1)}} s(r p_u) = s_u\\quad {\\rm for} \\quad u=1,\\ldots, N,$$ and $$\\lim_{\\substack{r\\rightarrow 1\\\\ r\\in(0,1)}}\\frac{1-s(rp_u)\\overline{s_u}}"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.3352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-04-13T07:29:52Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"37e7b0ae13026aeafe3caedc33d838754d10a5877e0087a9ebefdaa1c0d283fe","abstract_canon_sha256":"b1238a58ce651ad1af4790e377683ec04bde6a7eac75cf88d1188a4d7d24b1c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:07.962192Z","signature_b64":"ShCYZtqEMWTEDdTc7hJ7RvbdYSfHbMogDhMsueZwdeEm6X05ZF0w/mzMpR0fUSA2hy9WXZJzSiqe/pdYOQPBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a24426ad6c06f038a48c2d76fd5b0eac9121a625eea6c8e9098a1654b6743db1","last_reissued_at":"2026-05-18T02:51:07.961807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:07.961807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary interpolation for slice hyperholomorphic Schur functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"D. 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