  At top collider energies where baryon stopping is negligible, the initial
state of heavy ion collisions is overall charge neutral and predominantly
composed of gluons. Nevertheless, there can also be significant local
fluctuations of the baryon number, strangeness, and electric charge densities
about zero, perturbatively corresponding to the production of quark/antiquark
pairs. These previously ignored local charge fluctuations can permit the study
of charge diffusion in the quark-gluon plasma (QGP), even at top collider
energies. In this paper we present a new model denoted \code{iccing} (Initial
Conserved Charges in Nuclear Geometry) which can reconstruct the initial
conditions of conserved charges in the QGP by sampling a ($g \rightarrow
q\bar{q}$) splitting probability over the initial energy density. We find that
the new charge distributions generally differ from the bulk energy density; in
particular, the strangeness distribution is significantly more eccentric than
standard bulk observables and appears to be associated with the geometry of hot
spots in the initial state. The new information provided by these conserved
charges opens the door to studying a wealth of new charge- and flavor-dependent
correlations in the initial state and ultimately the charge transport
parameters of the QGP.
