According to the US Mint's PDF brochure the thickness of 1/10th oz. Gold American Eagles should be 1.26mm. (http://www.usmint.gov/downloads/mint_programs/am_eagles/AmerEagleGold.pdf ). NorthWest Territorial Mint also lists it at 1.26mm thick (http://bullion.nwtmint.com/gold_americaneagle.php)
Gainesville Coins and many other web vendors and websites show the thickness as 1.19mm. (http://www.gainesvillecoins.com/products/159179/2012-1-10-oz-gold-american-eagle.aspx and http://www.bing.com/search?q=1.19mm+gold+eagle)
So who's right? 1.26-1.19 = 0.07mm. Seven hundredths of a mm ( 2 thousandths of an inch) difference seems like enough clearance for a coin to rattle freely in a caliper. Clearly, somebody's wrong here.