Grease Pan: Grease the sides of the pan.
Beat Cream Cheese: In a large bowl, beat the cream cheese with a mixer on medium speed for 3 minutes until creamy.
Add Sugar: Beat in the granulated sugar for another 2 minutes, scraping the bowl as needed.
Mix in Ube: Add ube jam, sour cream, and ube extract. Mix well, scraping the bowl often.
Add Eggs: Beat in eggs one at a time, waiting for each to be fully mixed in before adding the next. Avoid overmixing to prevent cracking.
Finish and Pour: Add salt and mix. Pour the batter over the cooled crust.
Prepare for Water Bath: Wrap the bottom of the pan with foil layers. Place in a larger roasting pan and fill with hot water about halfway up the cheesecake pan.
Bake: Bake at 325°F for 6075 minutes. The center should jiggle slightly while the edges are set.
Cool Gradually: Turn off the oven and leave the cheesecake inside for 1 hour.
Chill: Remove and cool completely, then refrigerate for at least 6 hours. Remove the pan ring only after chilling.