In a small saucepan over medium-high heat, boil the pomegranate juice until reduced to ¼ cup, about 6 minutes. Remove from the heat and let it cool to room temperature.
In a medium bowl, combine the gingersnaps, melted butter, granulated sugar, and a pinch of salt. Mix well.
Divide the gingersnap mixture among six jars and use a small glass to firmly press the crust into the bottom of each jar.
Using a stand mixer or electric hand mixer, beat the whipping cream until it holds stiff peaks, about 3 minutes.
In a large bowl, beat the cream cheese and powdered sugar together until smooth. With the mixer on low, carefully beat in the pomegranate juice and cinnamon.
Working in two batches, gently fold the whipped cream into the cream cheese mixture.
Divide the cream cheese mixture among the jars, using the back of a spoon to smooth the top. Sprinkle the pomegranate seeds over the top.
Cover and chill for at least 8 hours before serving.