This result states removable singularity theorem for finite-energy harmonic maps from the punctured disk: given (N,h) be a compact smooth Riemannian manifold, and let B(0,1) R 2 denote the open unit disk. Suppose u W 1,2 loc (B(0,1) \ 0\ ;N) is a weakly harmonic map which is smooth on.... It is useful in harmonic map theory and elliptic regularity, where variational identities, curvature estimates, and compactness arguments control geometric objects.