  We introduce a notion of gluability for poset-indexed Bridgeland slicings on
triangulated categories and show how a gluing abelian slicing on the heart of a
bounded $t$-structure naturally induces a family of perverse $t$-structures.
Our setup generalises the one of Collins and Polishchuk. As a corollary we
recover several constructions from the theory of $t$-structures on triangulated
categories. In particular we rediscover Levine's theorem: the Beilinson-Soul\'e
vanishing conjecture implies the existence of Tate motives.
