It's called Accented Hair because of the hair detail as shown in this close up.
Compare that to the second style:
Very obviously different.
Now, when they changed the obverse, they also changed the reverse. The Accented variety has this reverse. Note the position of the top star which is very close to E Pluribus Unum
and the shape of the G in the initials.
The redesigned proof usually has this reverse. The top star is farther away and the G is more flared in the serif.
That's the typical reverse, but there are non-accented hair proofs with the accented hair reverse.
The question is, how many? Opinions differ - some say there are many of these, others insist that they are more rare. See http://www.cointalk.com/threads/accented-hair-reverse-with-normal-obverse-listed-as-variety-by-anacs.246860/ for various opinions.
Note: All my coins are in a safe deposit box. I keep nothing in my home.
Contests and giveaways: http://coins.aplawrence.com/2014/05/contests-and-giveaways.html