Let $X$ be a affine smooth scheme finite type over $A/pA$, where $A$ a complete DVR and $chk=p>0$.

I know that since $H^{2}=0=H^{1}$, we have a unique lifting to $A/p^{2}$. In algebraic schemes case, we can obtain a trivial deformation by fiber product. But in this case, for example, $A$ is a p-adic number ring, What is the trivial deformation over $A/p^{2}$ ?

PS: I added some smooth conditions to $X$.