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The centrex experiment aims to provide a 30-fold increase in sensitivity over the best present upper bounds on the strength of time-violating fundamental interactions by measuring shifts in nuclear resonant frequencies in thallium fluoride. We describe the motivation for studying these time-violating interactions, and provide an overview of past work. We present the current measurement scheme for this experiment. Since the apparatus is still under construction, we present the components already built, with focus on the beam source and magnetic field control.