Ewald's bounded-coordinate conjecture for smooth Fano polytopes

Let $P \subset N_{\operatorname{\mathbb{Q}}}$ be a smooth Fano polytope of dimension $n$. A smooth Fano polytope is a lattice polytope whose vertices are primitive lattice points and whose associated toric variety is smooth and Fano. Ewald's conjecture. There exists $P' \subset [-1,1]^n \subset N_{\operatorname{\mathbb{Q}}}$ such that $P \cong P'$. This conjecture proposes that every smooth Fano polytope admits an isomorphic representative contained in the coordinate cube; the source notes that related coordinate conditions for additive smooth Fano toric varieties do not hold in general, with computational counterexamples already in dimensions at most four.