Invited talk Abstract: Self-testing is a method for certifying the production of quantum states with making minimal assumptions about the devices. In recent years a plethora of quantum states have been shown to be amenable to self-testing, but the question of whether an arbitrary quantum state can be self-tested, and up to which transformations, is an open question. I will show a method for self-testing an arbitrary (pure) quantum state, up to local transformations and global complex conjugation. The method is compositional in nature, utilising simple quantum networks with EPR pairs distributed throughout. I will also indicate how the global complex conjugation symmetry can be removed if the sources of EPR pairs are assumed to be independent. This is from joint work with Ivan Šupić.