Ordinal Geometry of a 6k ±1 Factor-Incidence Matrix and Local Prime-Rank Reconstruction

This is the authors' abstract. We don't add key points for this paper.

We consider a factor-incidence matrix on the reduced number space A6 = {n≥5 : n≡±1 (mod 6)}, whose columns are the elements of A6 in natural order and whose rows are the prime factors p≥5 in prime-rank order. An entry records divisibility of a column value by the row factor.