It's not a golden hat, but this work of art is exhibited in a special room in the Neues Museum.  
A CT scan of this work of art by Dietrich Wildung revealed creases and other now-hidden age marks, and also put to bed Henri Stierlin's theory that it was a forgery.  This work was briefly attached to a bronze companion piece made by the artists Little Warsaw which was controversially exhibited at the 2003 Venice Biennale.  It's not a golden hat, but this work of art is exhibited in a special room in the Neues Museum.  The subject of this work wears a broken (*) Uraeus. Quartz and a speck of black paint can be found in this sculpture's right eye, but not the left eye, leading some art historians to believe that it was intended as a model.  This work was rediscovered by Ludwig Borchardt and now is an icon of Berlin.  This piece was sculpted in approximately 1345 BCE by Thutmose.  For 10 points, name this portrait of the wife of Akhenaten.
A CT scan of this work of art by Dietrich Wildung revealed creases and other now-hidden age marks, and also put to bed Henri Stierlin's theory that it was a forgery.  
Bust of Nefertiti