A pressure vessel for the storage of pressurized gaseous hydrogen includes a liner which defines an interior for the accommodation of the gaseous hydrogen and a wrapping encompassing the liner which gives the pressure vessel its dimensional stability. In order to prevent a discharge of gaseous hydrogen from the wrapping of the pressure vessel at a high rate if the pressure vessel is discharged after a prolonged downtime, the wrapping of the pressure vessel is designed to be at least partially gas-permeable, so that the gas penetrating through the liner can escape continuously through the wrapping of the pressure vessel.