Start by whisking your warm water, yeast, and brown sugar together in a small bowl. Let this sit for about five to ten minutes until it turns foamy on top. If it doesn't foam up, your yeast may be old, so it's worth starting over with a fresh packet.
In a large bowl, whisk together your pumpkin puree and honey until fully combined, then stir in the yeast mixture. Add your flour, salt, and pumpkin pie spice, mixing until a shaggy dough forms that pulls away from the sides of the bowl.
Turn the dough out onto a floured surface and knead for about eight minutes until it feels smooth and elastic. Place it in a greased bowl, cover it, and let it rise in a warm spot for about an hour, or until it's roughly doubled in size.
Punch down the risen dough and divide it into six equal pieces. Roll each piece into a ball, then use your finger to poke a hole through the center, gently stretching it into a classic bagel shape.
Bring a large pot of water to a gentle boil and drop the bagels in a few at a time. Boil each side for about a minute, then use a slotted spoon to transfer them onto your prepared baking sheet.
While the bagels are still damp, sprinkle them generously with cinnamon sugar so it sticks to the surface. Bake at 425°F for about 20 to 25 minutes, until they're golden brown and firm to the touch.
While the bagels cool, beat together the softened cream cheese, maple syrup, and cinnamon until smooth and creamy. Slice your cooled bagels in half and spread the cream cheese generously over each side.