  Despite deflections by Galactic and extragalactic magnetic fields, the
distribution of ultra-high energy cosmic rays (UHECRs) over the celestial
sphere remains a most promising observable for the identification of their
sources. Thanks to a large number of detected events over the past years, a
large-scale anisotropy at energies above 8 EeV has been identified, and there
are also indications from the Telescope Array and Pierre Auger Collaborations
of deviations from isotropy at intermediate angular scales (about 20 degrees)
at the highest energies. In this contribution, we map the flux of UHECRs over
the full sky at energies beyond each of two major features in the UHECR
spectrum -- the ankle and the flux suppression --, and we derive limits for
anisotropy on different angular scales in the two energy regimes. In
particular, full-sky coverage enables constraints on low-order multipole
moments without assumptions about the strength of higher-order multipoles.
Following previous efforts from the two Collaborations, we build full-sky maps
accounting for the relative exposure of the arrays and differences in the
energy normalizations. The procedure relies on cross-calibrating the UHECR
fluxes reconstructed in the declination band around the celestial equator
covered by both observatories. We present full-sky maps at energies above 10
EeV and 50 EeV, using the largest datasets shared across UHECR collaborations
to date. We report on anisotropy searches exploiting full-sky coverage and
discuss possible constraints on the distribution of UHECR sources.
