Add the hot water, sugar, and yeast to a large bowl or stand mixer and whisk to combine. Set aside for 5 minutes, or until the yeast has bloomed.
Next, whisk in the pumpkin puree. Then use a dough whisk or wooden spoon to stir in the flour, pumpkin pie spice, and salt.
Mix until a shaggy dough forms. Then turn the dough out onto a clean surface and knead for 4-5 minutes, or until the dough is smooth and soft.
Transfer the dough to a lightly oiled bowl and set it in a warm place to rise for 2-3 hours, or until doubled in size.
Once the dough has risen, turn it out onto a clean surface and divide it into 8 pieces. Shape each piece into a ball and place it on a parchment or silpat lined baking sheet. Set the dough aside to rise for another hour, or until doubled in size again.
Poke a small hole in the center of each ball to create a bagel shape.
Bring a large pot of water to a boil and whisk in the honey. While the water comes to a boil, preheat your oven to 425F.
Boil the bagels one at a time for 30 seconds per side. Then remove them to a parchment or silpat lined baking sheet. Repeat with the remaining bagels.
Beat the egg with a small splash of water to create an egg wash. Brush the top of each bagel with the egg wash.
Bake for 15-18 minutes or until the bagels are golden brown around the edges and fully set in the center. Remove the bagels to a wire rack to cool.
To make the cream cheese, stir together the cream cheese, maple syrup, and cinnamon in a small bowl. Set aside until ready to use.