Toothed belt axis for providing linear movement of a carriage

Toothed belt axis for providing a linear movement of a carriage with a profiled body extending along an axis of movement and a carriage mounted on the profiled body for linear movement along the axis of movement, with a toothed belt pulley and a deflection roller and with a toothed belt, which wraps around the toothed belt pulley and the deflection roller in certain areas and is connected to the carriage, wherein the toothed belt pulley is rotatably received in a first bearing housing, which is fixed to a first axial end face of the profiled body by at least one fastening means, wherein the carriage has a first carriage centering interface and the first bearing housing has a first bearing housing centering interface opposite the first carriage centering interface along the axis of movement, which are designed for a translational alignment of the first bearing housing relative to the carriage in a first spatial direction transverse to the axis of movement and for a rotational alignment of the first bearing housing relative to the carriage about the axis of movement.