The Dark Matter problem calls for New Physics beyond the Standard Model. Introducing the minimal amount of it, in terms of one single fermionic or scalar multiplet with SM gauge interactions, I show that one and only one fully successful DM candidate is found and I describe its properties. Its stability is automatically guaranteed by renormalizability, like for the proton in the SM. One can compute precisely its mass, the cross section for direct detection in future experiments, the indirect detection signatures and the other distinctive phenomenology features. The recent preliminary results from the PAMELA satellite might be a breakthrough in indirect DM searches: I show how our predictions compare with them.