The discovery of the Higgs boson has marked the completion of the Standard Model of particle physics. However, the latter lacks an explanation of cosmic inflation, of the matter-anti-matter asymmetry of the Universe, of dark matter, of neutrino oscillations, and of the feebleness of strong CP violation. A minimal extension of the Standard Model by three extra neutrinos, an extra quark and a complex scalar field, all charged under a spontaneously broken global U(1), may explain all these puzzles in one go. This model, dubbed “SMASH”, can be probed decisively by upcoming cosmic microwave background and dark matter experiments. We discuss also first steps towards a “GUT SMASH” model, which provides in addition gauge coupling unification.