How can I make the mouse cursor hide itself when typing?

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http://askubuntu.com – It gets in the way. I'd like to have it disappear when I start typing, then reappear if I move it. I've heard of unclutter but it sounds like it hides the cursor after it's been "idle" for a while, which isn't what I want--I only want to hide when I'm typing. How could I do this? (HowTos)