Heat oven to 325℉/165℃.
With an electric mixer, beat cream cheese with sugar and salt until completely smooth, about 3 minutes.
Add eggs and egg yolk, one at a time, beating well after each addition.
Add cream and vanilla.
Mix thoroughly.
Pour 1½ cups of the batter into a medium bowl.
Add pumpkin.
Whisk until mixed completely.
Use a large cookie scoop to add batters alternately to pan.
Swirl with a flat-bladed knife.
Bake for 55 minutes, or until set.
Let cheesecake cool on wire cooling rack until completely cooled, 1-2 hours.
Cover and place in refrigerator for a minimum of 4 hours, but preferably overnight.