Proves Erdős-Anning theorem holds in hyperbolic space of any dimension and gives quantitative bound O(D(d+1)^D) on integer-distance point sets in E^D or H^D given a general-position subset of diameter d.
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Tangent Spheres and Integer Distances
Proves Erdős-Anning theorem holds in hyperbolic space of any dimension and gives quantitative bound O(D(d+1)^D) on integer-distance point sets in E^D or H^D given a general-position subset of diameter d.