Reconstructing rational stable motivic homotopy theory

Using a recent computation of the rational minus part of S H(k) by Ananyevskiy, Levine and Panin, a theorem of Cisinski and Deglise and a version of the Rondigs and Ostvar theorem, rational stable motivic homotopy theory over an infinite perfect field of characteristic different from 2 is recovered in this paper from finite Milnor Witt correspondences in the sense of Calmes and Fasel.