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By selectively probing the center of a trapped gas, we measure the local, or homogeneous, contact of a unitary Fermi gas as a function of temperature. Tan's contact, C, is proportional to the derivative of the energy with respect to the interaction strength, and is thus an essential thermodynamic quantity for a gas with short-range correlations. Theoretical predictions for the temperature dependence of C differ substantially, especially near the superfluid transition, Tc, where C is predicteddoi:10.1103/physrevlett.109.220402 pmid:23368108 fatcat:cvkdcyod7faxvofjphovlu4o2m