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Thixotropy, anti-thixotropy, and viscoelasticity are three types of time-dependent dynamics that involve fundamentally different underlying physical processes. Yet distinguishing them can be very challenging, which hinders the understanding of structure-property relations. Here we show that hysteresis is a promising technique to contrast the three dynamics by exploring signatures of the most basic thixotropic, anti-thixotropic, and nonlinear viscoelastic models. From these signatures, using shear-rate controlled ramps that begin and end at high shear rates, we identify two distinguishing features in hysteresis loops. The first is the direction of the hysteresis loops: clockwise for thixotropy, but counterclockwise for viscoelasticity and anti-thixotropy. A second feature is achieved at high ramping rates where all responses lose hysteresis: the viscoelastic response shows a stress plateau at low shear rates (lack of stress relaxation), whereas the thixotropic and anti-thixotropic responses are purely viscous with minimal shear thinning or thickening. The features are observed independent of the model details. We establish further evidence for these signatures by experimentally measuring the hysteresis of thixotropic Laponite suspensions, anti-thixotropic carbon black suspensions, and viscoelastic poly (ethylene oxide) solutions. The protocols explored here can be used to distinguish thixotropy, anti-thixotropy, and viscoelasticity, which helps reveal the underlying microstructural physics of complex fluids.