International audienceThe mathematicians' Digital mathematics library (DML) summarises the generous project that all mathematics ever published should end up in digital form so that it would be more easily referenced, accessed, used. This concept was formulated at the very beginning of this century, and yielded a lot of international activity that culminated around years 2002--2005. While it is estimated that a substantial part of the existing math literature is already available in some digital format, nothing looking like \emph{one} digital mathematics library has emerged, but a multiplicity of competing electronic offers, with unique standards, features, business models, access policies, etc. The millenium's appealing idea has become a n...