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We prove the flow tree formula conjectured by Alexandrov and Pioline whichcomputes Donaldson-Thomas invariants of quivers with potentials in terms of asmaller set of attractor invariants. This result is obtained as a particularcase of a more general flow tree formula reconstructing a consistent scatteringdiagram from its initial walls.

The flow tree formula for Donaldson-Thomas invariants of quivers with potentials