The Name of the Wind

The US DAW hardcover is the true first; the UK Gollancz is the UK first. DAW is historically associated with unconventional number lines, so rely on the stated 'First Hardcover Printing, April 2007' wording together with the presence of the 1 in the number line. Both first-printing jacket variants (green-man/stone and Kvothe/'Fabio') are legitimate. Note that unsold first-printing stock is reported to have been re-jacketed with the later redesigned cover, so verify the copyright page rather than dating the book from the jacket.