The recording device comprises a network of micro-points (6), with tips of nanometer scale, fixed to the same substrate (7). Said network of micro-points cooperates with a deformable memory support (1), which absorbs the range of differing heights of the micro-points (6) on bringing the network into contact with the memory support, before thermal, electrical, and/or mechanical recording of data. The memory support (1) comprises a stack with at least one deformable memory layer, arranged on a substrate (4). The deformable memory layer may be embodied by the stacking of a memory layer (2) and a flexible layer (3), the latter being arranged on the substrate (4). The memory layer (2) can be covered by a layer (5) interfacing with the micro-points (6). The pressure of a micro-point (6) on the memory support (1) induces a progressive deformation of the stack up to the flexible layer (3).