  We give examples of derived schemes $X$ and a line bundle $\Ls$ on the
truncation $tX$ so that $\Ls$ does not extend to the original derived scheme
$X$. In other words the pullback map $\Pic(X) \to \Pic(tX)$ is not surjective.
Our examples have the further property that, while their truncations are
projective hypersurfaces, they fail to have any nontrivial line bundles, and
hence they are not quasi-projective.
