We construct a family of small analytic discs attached to Levi nondegenerate hypersurfaces in C~(n+1), which is globally biholomorphically invariant. We then apply this technique to study unique determination problems along Levi non-degenerate hypersurfaces that are merely of class C~4. This method gives 2-jet determination results for germs of biholomorphisms, CR diffeomorphisms, as well as in the almost complex setting.
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