The D-standardness conjecture for finite-dimensional algebra module categories

Let $k$ be a field and let $A$ be a finite-dimensional $k$-algebra. The module category $A\text{-}\operatorname{mod}$ is D-standard over $k$ if every pseudo-identity on $\mathbf{D}^b(A\text{-}\operatorname{mod})$ is isomorphic to the identity functor. D-standardness conjecture. For any finite-dimensional $k$-algebra $A$, the module category $A\text{-}\operatorname{mod}$ is D-standard over $k$. This conjecture is equivalent to the assertion that all $k$-linear derived equivalences between module categories of finite-dimensional algebras are standard; whether every such derived equivalence is standard remains open.