Place the chicken thighs in a bowl and sprinkle over the 1 tsp salt, pinch of pepper and 1 tbsp sake. Mix together, place in the fridge and marinate for 10-30 minutes.
Make the broth: Soak the konbu seaweed in the water for 15 minutes. Remove the konbu and add the sake and salt. Set aside.
Using a daikon grater, grate the entire daikon. Pour the grated daikon through a cheesecloth and gently squeeze to remove any excess water. Set aside.
Arrange the chicken, Chinese cabbage stems, turnips, carrot and oyster mushrooms in a 10-inch pan.
Add the broth and place a lid on the pan. Set the pan to high heat. Once it comes to a boil, bring the heat down to medium-low and simmer, covered, for 15 minutes, until the chicken and veggies are fully cooked. Add the Chinese cabbage leaves, replace the lid and cook for an additional 3 minutes.
In the meantime, add a few drops of soy sauce to 1/5 of the grated daikon to dye it light brown. Shape the daikon into a cat shape, using the brown daikon to create spots. Make eyes, a nose and mouth out of nori seaweed and stick them to the cat’s face. Set aside.
Make the sauces: Place the miso paste, sugar, mirin and water in a small pot and set to medium heat. Cook until thickened, about 4-5 minutes, then pour into a small dish. Pour the ponzu sauce into a separate dish.
Carefully slide the cat into the center of the hot pot. (I used a rubber spatula.)
To eat, place some chicken, veggies and daikon cat into a small dish and top with a little of both sauces. Pour some broth over top and enjoy!