Stoker's conjecture on rigidity of hyperbolic strictly-convex polyhedra

A hyperbolic strictly-convex polyhedron is a strictly-convex polyhedron in hyperbolic space, with dihedral angles measured along its edges. Stoker's conjecture. Every hyperbolic strictly-convex polyhedron is uniquely determined by its dihedral angles. The conjecture is attributed to J. J. Stoker, although he did not state it himself. Its spherical analogue has a flexible counterexample, while local rigidity in the hyperbolic case is known; the global statement is disproved.