In a large mixing bowl whisk the eggs together with the sugar, cinnamon, ginger, cloves, and salt. Whisk in the pumpkin purée, then the heavy cream.

Add the cubed bread and stir well to combine. Let the bread sit in the egg mixture for 10 minutes, then transfer to the prepared baking dish. Bake, uncovered, until the bread pudding is set and crispy on top and a tester inserted into the center comes out clean, about 1 ½ hours.

To make the Caramel Sauce:

In a medium-size heavy saucepan combine the sugar and water and bring to a boil over medium high heat, swirling the pan occasionally, until the sugar is dissolved. Add the lemon juice and continue to cook, swirling the pan occasionally but never stirring, until the syrup forms an amber-colored caramel.

Remove from the heat and carefully add the heavy cream all at once (the mixture will splatter). Return to the cook top over low heat, stirring occasionally, until the caramel is completely smooth and has melted into the cream.

Remove from the heat, add the butter and salt, and stir until completely incorporated. Set the sauce aside to cool. Sauce may be served either warm or at room temperature.