In a number of works, Peter Simons proposed an interesting theory of persistence in time, which he sometimes describes as invariantism. Unfortunately, in the last two decades, despite its unquestionable merits, invariantism has attracted little interest among thinkers engaged in the debate over persistence. The debate continues to revolve around well-known solutions, i.e., endurantism, perdurantism, and exdurantism. It seems to ignore the efforts of the few thinkers who try to break the theoretical deadlock that has for many years dominated the discussion. The purpose of this article is, first, to reconstruct and critically analyze Simons’ invariantist theory, and second, to compare it with another theoretical proposal, namely transcendenti...