Lemma 74.3.4. Let S be a scheme. Let U be an algebraic space over S. Let \{ U_ i \to U\} be a Zariski covering of U, see Topologies on Spaces, Definition 73.3.1. Any descent datum on quasi-coherent sheaves for the family \mathcal{U} = \{ U_ i \to U\} is effective. Moreover, the functor from the category of quasi-coherent \mathcal{O}_ U-modules to the category of descent data with respect to \{ U_ i \to U\} is fully faithful.
Proof. Omitted. \square
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