Buttermilk Spice Cake with Pear Compote and Crème Fraîche

Preparation

1. For pear compote:

   Step 1

   Mix sugar, lime juice, and salt in heavy large saucepan. Add pears and toss gently to coat. Cover and cook over medium-low heat until pears are just tender, stirring occasionally, 10 to 12 minutes. Transfer mixture to bowl. DO AHEAD: Can be made 1 day ahead. Chill until cold, then cover and keep chilled.

2. For buttermilk spice cake:

   Step 2

   Preheat oven to 350°F. Butter and flour 9-inch-diameter cake pan with 2-inch-high sides; line pan with round of parchment paper. Sift first 9 ingredients into medium bowl. Using electric mixer, beat butter in large bowl until fluffy. Gradually add sugar, beating until smooth. Beat in eggs 1 at a time, beating to blend between additions. Scrape in seeds from vanilla bean and add lime peel; beat to blend. Beat in flour mixture in 4 additions alternately with buttermilk in 3 additions, scraping down bowl occasionally. Transfer batter to prepared pan.

   Step 3

   Bake cake until beginning to brown on top and tester inserted into center comes out clean, about 30 minutes. Cool cake in pan on cooling rack. DO AHEAD: Cake can be made 1 day ahead. Cover and let stand at room temperature.

   Step 4

   Cut around pan sides to loosen cake. Turn cake out onto rack; peel off parchment and turn right side up onto platter. Sift powdered sugar over. Cut into wedges. Serve with pear compote and dollop of crème fraîche.

3. Step 5

   • A brown, star-shaped seedpod that's available in the spice section of some supermarkets and at specialty foods stores and Asian markets.

   Step 6

   ** Available at most supermarkets and at specialty foods stores.