{"paper":{"title":"On extended interpolation properties of the Katz $p$-adic $L$-function","arxiv_id":"2610.36607","primary_cat":"math.NT","submitted_at":"2026-10-27T04:09:50+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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