  The construction of knots via annular twisting has been used to create
families of knots yielding the same manifold via Dehn surgery. Prior examples
have all involved Dehn surgery where the surgery slope is an integral multiple
of 2. In this note we prove that for any integer $n$ there exist infinitely
many different knots in $S^3$ such that $n$-surgery on those knots yields the
same manifold. In particular, when $|n|=1$ homology spheres arise from these
surgeries. In addition, when $n \neq 0$ the bridge numbers of the knots
constructed tend to infinity as the number of twists along the annulus
increases.
