Preheat oven to 325 degrees F.
Add dark chocolate to small heatproof bowl. Place bowl over small saucepan of simmering water. Heat and stir with small spatula until chocolate is melted and smooth. Remove bowl from over water. Cool chocolate briefly. Set aside.
Add cream cheese and granulated sugar to stand mixer. Using paddle attachment, beat on medium low speed until creamy and smooth. About 4 minutes.
Add cocoa powder and beat on low for 1 minute. Scrape down bowl, if necessary.
Add eggs and vanilla bean paste. Beat on low for 2 minutes.
Add slightly cooled melted dark chocolate. Beat on low for 1 minute.
Pour cheesecake filling over pecan caramel crust. Smooth with offset spatula, if necessary.
Bake 45 minutes, or until center is just set.
Turn off oven. Do not open oven door for 30 minutes.
Remove cheesecake from oven. Place on wire rack until room temperature, about 1 hour.
Refrigerate cheesecake several hours, preferably overnight.
Run paring knife around sides of cake to loosen.
Remove from springform pan.