i agree. so you have to hash things into multiple buckets, ie each word needs to have multiple coordinates/buckets in hash space. i think this is what is meant

i agree. so you have to hash things into multiple buckets, ie each word needs to have multiple coordinates/buckets in hash space. i think this is what is meant by "well-chosen hash size" / "one or several", maybe. it makes sense if you think about the distance matrix / PCA sketch - PCA leaves you with a low-rank approximation of the distance matrix, and the rank would be the number of coordinates for each word in hash space.