2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112068We prove that in short range Klein spin models on general lattices, all ground states are of the dimer type- each fundamental plaquette must host at least one singlet. These ground states are known to rigorously exhibit high dimensional fractionalization. When combined with a recent theorem, this establishes that Klein spin models exhibit topological order on the pyrochlore and checkerboard lattices.4 pages, 3 figuresStrongly Correlated ElectronsStatistical Mechanicstext