In p-adic Hodge theory, a fundamental observation of Breuil and Kisin is that some Galois representations over p-adic integers give rise to interesting integral linear-algebraic data, where the latter nowadays are called Breuil--Kisin modules. This association from Galois representations to Breuil--Kisin modules is however very complicated and has so far lacked an explicit description. In this talk, we give a one-line formula for the Breuil--Kisin module of a crystalline or a semi-stable representation. Moreover, by extending this idea, we introduce a prismatic enhancement of the p-adic Riemann--Hilbert functor for p-adic local systems.