  The magnetic ground state of the hyper-kagome lattice in Na4Ir3O8 is explored
via combined bulk magnetization, muon spin relaxation, and neutron scattering
measurements. A short-range, frozen, state comprised of quasi-static moments
develops below a characteristic temperature of T_F=6 K, revealing an
inhomogeneous distribution of spins occupying the entirety of the sample
volume. Quasi-static, short-range, spin correlations persist until at least 20
mK and differ substantially from the nominally dynamic response of a quantum
spin liquid. Our data demonstrate that an inhomogeneous magnetic ground state
arises in Na4Ir3O8 driven either by disorder inherent to the creation of the
hyper-kagome lattice itself or stabilized via quantum fluctuations.
