Add the vinegar, water, kombu, garlic, sugar and salt to a medium saucepan and bring to a boil over medium heat, stirring to ensure the sugar and salt have dissolved. Add the carrots and cook for an additional 2 minutes (the liquid may not come back up to a boil, which is fine, the goal is to just slightly soften them).
Transfer to a quart sized canning jar and allow to come to room temperature. Seal with a lid and transfer to the refrigerator. Enjoy within two months.
I sliced the carrots using the 3mm setting on my Oxo mandoline (which translates to about .12 inches).
Add all ingredients into your blender, starting with only 2 teaspoons of honey, and blend until fully combined, about 1 minute, stopping to scrap down the sides of the blender if necessary. Taste and adjust seasoning as needed. Transfer to an air-tight container and store in the refrigerator for 1 week or store in the freezer for up to 6 months.
If you haven't used fresh turmeric before, I would recommend starting with half of the amount I recommend and then adding more little by little. The flavor can easily overpower the other ingredients so it is best to start small and add more to taste.
I used white miso because it is mild but you could try red miso for a funkier flavor (this might be closer to the Korean soybean paste).