Butter or grease one 8 x 8 inch pan.
In a 3 quart saucepan, mix together sugar, milk, corn syrup, pumpkin and salt.
Bring to a boil over high heat, stirring constantly.
Reduce heat to medium and continue boiling. Do not stir. When mixture registers 232 degrees F (110 degrees C) on candy thermometer, or forms a soft ball when dropped into cold water,
remove from pan from heat. Stir in pumpkin pie spice, vanilla and butter.
Cool to lukewarm (110 degrees F or 43 degrees C on candy thermometer.) Beat mixture until it is very thick and loses some of its gloss.
Quickly pour into a greased 8 x 8 inch pan. When firm cut into 36 squares.