The American Vintage '57 and '62 Precisions have the same pickup, except the '57 has raised pole pieces under the A string to replicate the original. It's available on the aftermarket at the "Original":
http://www.fender.com/products//sear...tno=0992046000
I've tried a few basses with this pickup, and my impression, however vague, is that it has slightly less low end than the modern American Standard pickup. They sound pretty close though. True vintage P-bass pickups are inherently bright, but associated with deep thump due to using flats, cutting the treble, etc.