One of the nice things about Arkansas is that we're one of nine states that has no restrictions on cyclists such as riding as far to the right as practicable, mandatory bike lane or side path laws... And in a nice phrasing, you can't be accused of impeding traffic if you're not driving a motor vehicle ;-)

No state law that say you can't ride on the sidewalks, but then there's no law that says you can't drive your car there, either!