We present two novel derivations of the recently established (-)(p) fa
ctor 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) theta-terms
. The second traces the sign difference between adjoining dimensions t
o compactification effects. (C) 1998 Published by Elsevier Science B.V
. All rights reserved.