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Electric grid faults can cause catastrophic wildfires, particularly in regions with high winds and low humidity. In real-time operations, electric utilities are left with few options for wildfire risk mitigation, leading to the use of disruptive measures such as public safety power shut-offs. This work proposes the optimal power shut-off problem, an optimization model to support short-term operational decision making in the context of extreme wildfire risk. This is the first optimization model to consider how preventive measures impact wildfire risk and power systems reliability at a short-term, operational time-frame. The method is demonstrated on an augmented RTS-GMLC test case, and compared against two approaches based on simple risk thresholds. The proposed optimization-based model reduces both wildfire risk and load shed relative to the benchmarks.