The Fisher Space Pen. Small enough to carry in your pocket without even noticing it, no sharp edges, unbreakable and trivially refillable. And it writes, too!
Ain't that the truth. Mine is around here... somewhere. I periodically find it while cleaning up, put it on my desk, and then inevitably lose it before I need it again.
Also, I find that mine accumulates a blob of ink on the tip after a period of inactivity that needs to be wiped off before use.
I went through two bullet pens before throwing in the towel. I understand that a permanently mounted clip would throw off the sleek, classic design - but it would be way more functional if the pen and clip would actually stay attached to each other.