When the mixture is frothy, increase mixer speed to medium-high and gradually add the sugar and cornstarch mixture (from the second step), beating until stiff, glossy peaks form, about 12 to 15 minutes. Be sure to scrape down the sides of the bowl with a rubber spatula halfway through the mixing process.
Transfer to the preheated oven and bake for 2 1/2 hours, or until the mound is crisp on the outside and soft inside.
When the pavlova is ready, turn off the oven heat and let the pavlova cool in the oven for at least 2 1/2 hours, or until completely cool (preferably overnight).
For the Cream, Rhubarb, and Pistachio Filling and Assembly
Preheat the oven to 400 (F).
In a medium bowl, toss together 1 pound sliced rhubarb, 1/4 cup water, 3/4 cup granulated sugar, 1 tablespoon lemon juice, and 1/8 teaspoon salt.
Use a rubber spatula to carefully transfer the rhubarb pieces (they will be very soft) to a parchment-lined rimmed baking sheet; reserve the juices. Allow both the rhubarb and juices to cool completely.
When the rhubarb has cooled and you're ready to serve your pavlova, make the vanilla whipped cream by combining 1 1/2 cups heavy cream and 1 teaspoon vanilla extract in the bowl of a freestanding electric mixer fitted with a whisk attachment. Whisk on medium-high speed until soft peaks form and you have whipped cream.
Once the whipped cream is ready, transfer to the pavlova well. Top with rhubarb and garnish with 1/8 cup pistachios. Spoon over rhubarb juices and serve immediately.