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We show that a real-valued function $f$ in the shift-invariant spacegenerated by a totally positive function of Gaussian type is uniquelydetermined, up to a sign, by its absolute values $\{|f(\lambda)|: \lambda \in\Lambda \}$ on any set $\Lambda \subseteq \mathbb{R}$ with lower Beurlingdensity $D^{-}(\Lambda)>2$.

Sign retrieval in shift-invariant spaces with totally positive generator