Although P2P systems and DSM systems have been designed in rather different contexts, both can be usefully woven together in the specific context of Grid computing. In this paper, we address the design of such a hybrid Grid Data-sharing Service, with intermediate hypotheses and properties. This service decouples data management from grid computation, by providing location transparency as well as data persistence in a fully dynamic environment. We illustrate the proposed concept and demonstrate its feasibility by reporting on a software prototype called the JuxMem platform