The Sine-beta process is a canonical point process on the real line that interpolates between highly structured eigenvalue repulsion at large beta and complete randomness at beta equal to zero. The pair correlation function measures how likely it is to find two points at a given distance from each other, and it encodes the essential statistical geometry of the process. A precise and rigorous characterization of how this correlation function transitions toward the flat, uncorrelated profile of a Poisson process as beta decreases toward zero remains unresolved, particularly with quantitative control over the rate and the form of corrections.