I have the Tilley as well and love it. I have the lighter weight version (LT5) and it keeps my cool in the summer. They are great hats with a lifetime warranty. The hidden pocket is pretty cool. As mentioned above they have foam in the top for insulation and will float too. Take a look at them and try one on, you will not be disappointed.

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"Do what you can, with what you have, where you are" Theodore Roosevelt