The device for pivoting an arbor of a rotating member, on a determined pivot axis, inside a timepiece movement includes at least one magnetic bearing including a magnet which exerts a force of attraction on a pivot made of magnetic material, of the arbor, and an endstone arranged between the magnet and the pivot, the endstone being formed of a material having a hardness greater than 500 HV and a friction coefficient less than or substantially equal to 0.1 with the material of which the pivot is made. The material forming the endstone has a high magnetic permeability and the endstone has, in cross-section to the pivot axis, smaller dimensions than those of the magnet, said endstone being arranged in the timepiece movement to be centred on the determined pivot axis.