The raised die polish lines on the 1H are in very specific places and cannot be seen without magnification. Your coin has nice cartwheel luster but that's not what distinguishes the proof dies (1H satin, and 1F and 1G matte) .
On the coin I have, the die polish lines are most visible in the protected areas, between E and Liberty's neck, and next to the eagle's talons on the reverse. Unfortunately the reverse has been lightly wiped. This was enough to remove the die polish lines that would have been visible in the fields.
edit: vamworld has added a lot of new pictures since I last reviewed it. The polishing lines on the satin proof die (
VAM 1H) are shown in several new places, along with other characteristic marks. In examining my coin again under a 10x hand magnifier I was able to find several of these, along with the diagnostic hub marks on the reverse. Even with magnification I needed a strong light, and had to rotate the coin to catch the right lighting angle to see the lines.
This Heritage 1H has good photography. Note the two dagger-like hub marks at the base of the eagle's inside tail feather.
http://coins.ha.com/itm/peace-dolla...ption-071515The 1H is relatively rare. Heritage has sold 10 since 1H was identified in 2005, all uncirculated. By comparison they have sold 674 regular strike 1921 Peace just in MS65.