2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202840We present two novel derivations of the recently established $(-)^p$ factor in the charge quantization condition for $p$-brane dyon sources in spacetime dimension $D$=$2p$+2. The first requires consistency of the condition under the charge shifts produced by (generalized) $θ$-terms. The second traces the sign difference between adjoining dimensions to compactification effects.10 pages. Expanded abstractHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext