Considering digital cultural heritage as the digitalized assets from memory institutions and digital born art, this paper aims to build on its current normative definitions. This first notion addresses the subtle, yet complex relationship between technology and culture. In addition, we consider the criteria set for defining heritage in memory theorization. By doing so, we want to challenge the lack of uniform standards and approaches in dealing with digital cultural heritage and to give Aleida and Jan Assmann's Theory of Cultural Memory a normative dimension. Can there be a cultural memory of the digital age?