Spin ice (SI) is a state of matter characterized by a residual (Pauling) entropy and unusual correlations. The huge interest in SI materials from the magnetism community stems from the fact that they offer the first well-characterized example of fractionalization in a three dimensional magnet: the SI state behaves like a magnetic analogue of a fluid of charged particles. However, despite numerous studies the equilibrium ground states (GS) are unknown. Recent experimental work has shown that the equilibration time for the spins increases rapidly below the crossover into the SI state and that on sufficiently long timescales the residual entropy is partially lost at low temperatures suggesting the presence of a low temperature ordered phase or quantum spin liquid. We propose to study the correlations in Dy2Ti2O7 between 200-300 mK using WISH in order to understand the nature of the GS.