This is the "Rig" an open crown hat by Bailey.  Open crown hats can be worn as is or have shaped (by a professional hat shaper) to your preference  This hat was made popular when Hoss from the T.V. show, Bonanza wore one.  Today, this hat is making a comeback as it is similar to the hat worn by Walker on Yellowstone.   

• Brim 5" 
• Crown: Open Crown
• Color: Black or Buckskin
• Material: 100% 5x Rabbit Fur Felt
  
• Hatband: Self-matching with 3 piece buckle set
• Made in the U.S.A