The magnetic ground state of the J ef f = 1/2 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 TF =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. PACS numbers: 76.75.+i, 75.10.Kt, 75.40.Cx Models of spin-orbit entangled J ef f = 1/2 electrons on edge-sharing octahedra have shown that the symmetric portions of the magnetic Heisenberg exchange coupling may cancel [1,2]. This opens the possibility for an antisymmetric, bond-dependent magnetic exchange that can be mapped into a Hamiltonian with a spin liquid ground state [2,3]. In two-dimensions, the honeycomb lattice of (Li,Na) 2 IrO 3 has been proposed to be close to this spin liquid regime [4,5], and in three-dimensions the leading candidate for realizing this new spin-orbit driven spin liquid is the hyper-Kagome lattice of Ir moments in Na 4 Ir 3 O 8 (Na-438) [6].While the geometric frustration of Ir moments on the hyper-Kagome lattice, the theorized J ef f = 1/2 ground state, and the edge-sharing octahedra in Na-438 comprise the theoretical requirements for stabilizing a spin liquid phase, a range of ordered magnetic ground states may instead stabilize depending on the relative strengths of competing exchange parameters as well as the relevance of Dzyaloshinskii-Moriya (DM) interactions [7]. As a result, a number of ordered states have also been proposed, ranging from fluctuation-driven nematic order [8] to a variety of antiferromagnetic states [2,7]. Which magnetic ground state in Na-438 is realized, however, remains experimentally unresolved.A high degree of magnetic frustration in Na-438 was initially suggested via the measurement of a large CurieWeiss temperature Θ CW ≈ 680 K and the absence of spin freezing above 6 K [6]. Magnetic heat capacity data, while revealing an anomalous peak near 30 K, similarly have shown no signature of ordering down to 0.5 K along with a linear term in the low temperature C mag (T )-suggestive of gapless spin excitations in the ground state [4,6]. Furthermore, measurements of the magnetic Grüneisen parameter have hinted at a nearby quantum critical point [9]. While these studies have suggested an exotic spin liquid in the J ef f = 1/2 hyperKagome lattice, direct experimental probes of magnetic correlations in this material are notably absent. Thus the key question remains: In the ground state, do spins remain predominantly dynamic as expected for a spin liquid, or do spins ultimately freeze into static/quasi-static ...