Preheat oven to 400°F (204°C). Scrub sweet potatoes and prick several times with a fork. Place on a lined baking sheet and roast for 50 to 70 minutes, until completely tender.
2 medium-large Garnet or Jewel sweet potatoes
Cool sweet potatoes until comfortable to handle. Remove skins and purée flesh until completely smooth. Weigh 340 grams purée and cool completely to room temperature.
Place 285 grams unsalted butter in a light-colored saucepan over medium heat. Cook, stirring and scraping the bottom frequently, until the milk solids are very golden brown and smell toasted and nutty.
1⅓ cups (285 g) unsalted butter
Immediately transfer browned butter and all browned milk solids to a heatproof bowl. Cool for 2 to 3 minutes, then weigh. Add enough room-temperature water to restore the total weight to 285 grams and whisk until fully incorporated.
room temperature water
Reserve 15 grams restored browned butter for the soak. Cool the remaining 270 grams until warm or room temperature but still fluid.
Reduce oven temperature to 350°F (177°C). Thoroughly coat a 12-cup Bundt pan with baking spray containing flour or cake goop.
baking spray with flour
Whisk flour, cinnamon, baking powder, salt, baking soda and nutmeg together in a medium bowl.
3 cups (360 g) all-purpose flour, 2 tsps (5 g) ground cinnamon, 2 tsps (8 g) baking powder, 1 tsp (6 g) fine sea salt, ½ tsp (2.5 g) baking soda, ½ tsp (1 g) freshly grated nutmeg
Whisk sour cream, milk, dark rum and vanilla bean paste together in a separate bowl until smooth.
¾ cup (180 g) full-fat sour cream, 3 tbsps (45 ml) dark rum, 1 tbsp (15 ml) vanilla bean paste, ¼ cup (60 ml) whole milk
Beat 270 grams restored browned butter with granulated sugar and light brown sugar on medium speed for about 3 minutes, scraping the bowl as needed, until smooth, cohesive and slightly lightened.
1⅓ cups minus 1 tablespoon (270 g) restored browned butter from above, 1¼ cups (250 g) granulated sugar, ¾ cup (150 g) packed light brown sugar
Add eggs one at a time, mixing well after each addition. Mix in cooled sweet potato purée on low speed until evenly incorporated.
4 large eggs, 1½ cups (250 g) roasted sweet potato purée
On low speed, add one-third of the flour mixture, followed by half of the sour cream mixture. Repeat, then add the remaining flour mixture and mix only until no visible flour remains.
Scrape the sides and bottom of the bowl and fold the batter several times with a rubber spatula. Spoon batter evenly into the prepared Bundt pan, smooth the top and tap the pan firmly against the counter several times to release large air bubbles.
Bake for about 60 minutes, until the top springs back when lightly touched and a long wooden skewer inserted into the thickest portion comes out clean or with a few moist crumbs. The center should register approximately 200 to 205°F (93 to 96°C).
Cool cake in the pan on a wire rack for 15 minutes. Carefully invert onto the rack and remove the pan.
While the cake is warm, heat dark rum, brown sugar, reserved 15 grams browned butter, vanilla bean paste and salt over medium-low heat, stirring until the sugar dissolves and the mixture is smooth. Do not boil.
2 tbsps (30 ml) dark rum, 2 tbsps (25 g) packed light brown sugar, 1 tbsp (15 g) restored browned butter , ½ tsp (2.5 ml) vanilla bean paste, pinch fine sea salt
Place parchment or a baking sheet beneath the cooling rack. Gradually brush the warm soak over the top and sides of the cake, allowing it to absorb between applications. Cool cake completely.
Toast pecans at 350°F (177°C) for 7 to 10 minutes, stirring once, until fragrant and lightly darkened. Cool completely and roughly chop.
½ cup (45 g) pecan halves
Cook brown sugar and butter for the caramel in a small saucepan over medium heat for about 2 minutes, stirring constantly, until the butter is melted and the mixture looks smooth.
⅓ cup plus 1 tablespoon (75 g) packed light brown sugar, 3 tbsps (42 g) unsalted butter
Slowly whisk in heavy cream. Bring to a gentle simmer and cook for 2 to 3 minutes, whisking frequently, until smooth and slightly thickened.
2 tbsps plus 2 teaspoons (40 ml) heavy cream
Remove caramel from heat and stir in dark rum, vanilla bean paste and salt. Cool for 10 to 20 minutes, stirring occasionally, until thickened but still pourable.
1½ tbsps (22.5 ml) dark rum, ½ tsp (2.5 ml) vanilla bean paste, ⅛ tsp (0.75 g) fine sea salt
Transfer the completely cooled cake to a serving plate. Spoon caramel over the top and allow it to run down the sides. Add toasted pecans while the caramel is wet and let stand for at least 20 minutes before slicing.