  The algebraic Cuntz-Pimsner rings are naturally $\mathbb{Z}$-graded rings
that generalize both Leavitt path algebras and unperforated $\mathbb{Z}$-graded
Steinberg algebras. We classify strongly, epsilon-strongly and nearly
epsilon-strongly graded algebraic Cuntz-Pimsner rings up to graded isomorphism.
As an application, we characterize noetherian and artinian fractional skew
monoid rings by a single corner automorphism.
