I'm sort of dubious that this is even possible, and even if it were, it wouldn't be me since it wouldn't share continuity with me. It would likely, at best, just be an AI taught to pretend to be me.
What do you mean by "continuity", and why is it important to identity?
Giulio Prisco made a blog post giving permission to use the data in his Gmail account to reconstruct an uploaded copy of him.
Ben Goertzel copied the post and gave the same permission on his own blog. I made some substantial changes, such as adding a caveat to exclude the possibility of torture worlds (unlikely I know, but can't hurt), and likewise gave permission in my blog. Anders Sandberg comments on the thing.