  We study the asymmetric distribution of weak photospheric magnetic field
values in the two hemispheres separately using synoptic maps from SDO/HMI,
SOLIS/VSM and WSO during solar cycles 21-24. We calculate the weak-field
asymmetry (shift) by fitting the distributions of weak-field values to a
shifted Gaussian. Hemispheric shifts derived from the three data sets agree
very well, and increase systematically when reducing the spatial resolution of
the map. Shifts of the northern and southern hemisphere are typically opposite
to each other. Shifts follow the evolution of the trailing flux and have a
strong solar cycle variation with maxima in the early to mid-declining phase of
the solar cycle. The sign of the hemispheric weak-field shift is always the
same as the polarity of the polar field in the respective hemisphere and solar
cycle. We also find that shifts in the south are systematically larger in
absolute value than in the north.
