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1
Prepare the daikon first. Score the flat side of each round with shallow hidden cross-cuts that do not penetrate through. Place in a pot with rice-washing water (the milky water from the first rinse of raw rice), bring to a simmer, and cook for 15 minutes. Drain and rinse. The rounds will lose their raw opacity and sharp bitterness.
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2
Rub the konnyaku pieces with salt, working it into the surface, then rinse under cold water. This step removes the characteristic odour and opens the surface to dashi absorption. Set aside with the parboiled daikon.
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3
Build the oden-dashi. Combine the kombu and cold water in a large, wide pot. Bring slowly to just below a simmer — small bubbles will form at the base of the pot but the surface will not yet move. Remove the kombu and tie it into knots; return the knots to the pot. Add the katsuobushi, steep off the heat for 5 minutes, then strain, discarding the spent flakes. Return the clear stock to the pot. Season with soy sauce, mirin, and salt, deliberately under-seasoning at this stage: the broth will concentrate over hours and components will release their own salinity.
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4
Add the parboiled daikon rounds and the prepared konnyaku to the dashi. Bring to the gentlest possible simmer — the surface should tremble rather than bubble. This is where the dish lives or dies: a vigorous boil will cloud the broth irreversibly and disintegrate the delicate components; only a bare, patient simmer maintained across the full cooking time will yield the clear, deeply flavored broth and soft, translucent daikon that define proper oden. Skim any scum that rises in the first 20 minutes with care and frequency.
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5
Continue to simmer, covered, for 2 hours, skimming as needed to maintain broth clarity. After 2 hours, briefly boil the ganmodoki in plain water to purge excess oil, drain, and add to the pot along with the chikuwa and satsumaage. Continue simmering for a further 1 to 2 hours. The fishcakes will be bouncy and seafood-sweet; the ganmodoki will have swelled and softened.
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6
Thirty to sixty minutes before service, add the peeled hard-boiled eggs. They require only enough time to absorb color and dashi flavor at the surface without the yolk becoming rubbery. The whites will take on the amber tone of the broth.
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7
Taste the broth and adjust seasoning with soy sauce or salt only at this final stage, accounting for all concentration and component release across the full cooking period. Serve directly from the pot in deep bowls — broth first, then one piece of each component — with karashi on the side. The daikon should be entirely translucent at its center when pierced with a chopstick, offering no resistance.