Do you know, I simply don't remember - maybe it was 1.0, but I have a feeling that I downloaded a beta and was overjoyed at being able to scrap all my hoaky c++ sockets / CORBA code and reimplement in something amazingly easy called RMI !
Not sure why I thought 0.7, perhaps I was wishful thinking wrt. how much change happened in early Java, but I think that the conventions of version numbering hadn't settled in the same way as they have now.