  We prove a motivic integral identity relating the motivic Behrend function of
a $(-1)$-shifted symplectic stack to that of its stack of graded points. This
generalizes analogous identities for moduli stacks of objects in a
$3$-Calabi$\unicode{x2013}$Yau category obtained by
Kontsevich$\unicode{x2013}$Soibelman and Joyce$\unicode{x2013}$Song, which are
crucial in proving wall-crossing formulae for Donaldson$\unicode{x2013}$Thomas
invariants. We expect our identity to be useful in generalizing motivic
Donaldson$\unicode{x2013}$Thomas theory to general $(-1)$-shifted symplectic
stacks.
