  It has recently been shown that the highest energy cosmic rays (CRs) may
originate in the same cosmological objects producing $\gamma$-ray bursts. This
model requires the presence of intergalactic magnetic fields (IGMF) to delay
the arrival times of $\sim 10^{20}$ eV CRs by 50 years or longer relative to
the $\gamma$-rays, of an amplitude that is consistent with other observational
constraints. Sources of CRs coming from individual bursts should be resolved
with the planned ``Auger'' experiment, with as many as hundreds of CRs for the
brightest sources. We analyze here the apparent angular and energy distribution
of CRs from bright sources below the pion production threshold (in the energy
range $10^{19}{\rm eV} < E < 4\times10^{19}{\rm eV}$) expected in this model.
This observable distribution depends on the structure of the IGMF: the apparent
spectral width $\Delta E$ is small, $\Delta E/E\lesssim1\%$, if the
intergalactic field correlation length $\lambda$ is much larger than $1{\rm
Mpc}$, and large, $\Delta E/E=0.3$, in the opposite limit $\lambda\ll 1{\rm
Mpc}$. The apparent angular size is also larger for smaller $\lambda$. If the
sources of CRs we predict are found, they will corroborate the bursting model
and they will provide us with a technique to investigate the structure of the
IGMF.
