This was the best $25 investment I ever made.  Just flew back from Tokyo, where the sun is blaring from early morning until about 7pm during the summer.

This hat folds very small so I put it in a quart size (approx. 9" x 7") ziplock bag and it takes no space.  It did not get creased AT ALL after 30 hours of being in a suitcase.

The only thing I recommend is to saw the ribbon onto the hat as the glue holding it onto the hat wore off after about a week (someone on the street kinldy brought me the ribbon I left behind).  Just one stitch under the bow will do.