A lock with a sole plate and a slider, guided in translation relative to one another by a guide between two positions, an extended position and a retracted position. The slider includes a bearing surface which extends in a sliding plane defined by the guide and an indentation relative to the bearing surface forming a translation stop in one of the two positions. The sole plate cooperates with a retractable pin of a lock carried by the slider, to lock it in the extended position and in the retracted position. The slider comprises, opposite the indentation relative to the retractable pin of the locking means, a translation stop in the extended position.

A thin padlock with simple and convenient operation includes a lock hook, a lock buckle and a lock cylinder module capable of locking the padlock. The lock cylinder module is embedded into a box; a small portion of the lock cylinder module is protruded from the outer surface of the box, so that the thickness of the padlock protruding to the outside of the box is reduced, and the padlock will not be damage by external forces easily. In an unlock process, the lock cylinder module slides with respect to the box and drives the lock hook to move and be separated from the lock buckle. The lock cylinder module integrates a pressing unlock function to skip the pressing action, thus not just reducing the thickness of the padlock protruding to the outside of the box only, but also allowing users to operate the lock cylinder module by a finger to unlock the padlock and improve the convenience of operating the padlock.