Phase space projections for different parallax zero point. The plot reproduces panels b and e of Fig. 14 using different distance estimations and parallax zero point as indicated in the legends. As explained in other parts of the article, the correction of the zero point combined with the different distance estimators used produce a change in the distance scale but in any case induces or removes the phase space substructure such as the one observed in this panels. The smallest distances are found when the Bayesian distances d_PM and the zero point ZP₅₆ are used.