  This paper gives a new, simplified presentation of the classical pure braid
group. The generators are given by the squares of the longest elements over
connected subgraphs, and we prove that the only relations are either
commutators or certain palindromic length 5 box relations. This presentation is
motivated by twist functors in algebraic geometry, but the proof is entirely
Coxeter-theoretic. We also prove that the analogous set does not generate for
all Coxeter arrangements, which in particular answers a question of Donovan and
Wemyss.
