Preheat oven to 375F. Using a spice grinder, process the chia seeds into a mealy texture.
Add the processed chia seeds to a bowl with psyllium husk powder, xanthan gum, garlic powder, onion powder, oregano, paprika, salt, and pepper. Mix well.
Add the olive oil to the dry ingredients and mix until the mixture takes on the consistency of wet sand.
Add some ice-cold water to the bowl and mix very well. This may take some extra time, as the chia seeds and psyllium husks take a while to absorb the water. Keep mixing until a firm dough is formed.
Grate the cheddar cheese and add it to the bowl.
Knead the dough until relatively dry and no longer sticky.
Place the dough on a Silpat and let sit for a few minutes.
Spread or roll the dough out thinly, so that it covers the entire Silpat. If it can be made thinner, keep rolling and save the excess dough for a second batch.
Bake for 30–35 minutes. Remove from the oven and cut into individual crackers while still hot using a spatula or other blunt edge (so as not to damage the silicone).
Slightly spread the crackers, so they are no longer touching. Turn oven to broil.
Broil the cut crackers in the oven for 5–7 minutes, or until the tops are browned and crisp. Remove from the oven and set on a rack to cool and crisp up even more.
Serve and enjoy!