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1
Combine the dried kombu and dried shiitake with the cold water in a pot. Allow to steep for a minimum of 30 minutes — or overnight if time permits. Set over a low flame and bring slowly toward a simmer. Remove the kombu just before the water reaches a full boil. Continue simmering the shiitake for 10 minutes, then remove and reserve. The finished dashi should be clear and pale amber with a distinct, clean umami aroma.
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2
Cut all root vegetables before applying heat. Trim and scrub the gobo; cut gobo, daikon, carrot, and blanched konnyaku into rough, irregular 2 cm pieces — dense vegetables (gobo, daikon) cut slightly smaller than softer ones to ensure even cooking across the pot.
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3
Heat the sesame oil in a heavy pot over a medium-high flame. Add the gobo first and stir-fry until the edges show the first signs of colour and a nutty, roasted aroma rises from the pan — the Maillard contact that gives the soup its depth. This is the step on which the dish lives or dies: if the stir-fry stage is skipped, or the vegetables are merely sweated without colour, the flavour complexity of the finished soup cannot be recovered.
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4
Add the carrot and daikon to the pot and continue stir-frying for 2 to 3 minutes, turning frequently so all cut surfaces contact the hot oil. Add the konnyaku and stir-fry for a further minute. The vegetables should be lightly coloured at the edges and fragrant throughout.
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5
Pour the prepared kombu-shiitake dashi into the pot. Crumble the firm tofu directly into the liquid by hand, pressing and breaking it into irregular pieces of varying size — not sliced, not cubed. These uneven pieces absorb dashi at different rates and contrast in texture with the root vegetable squares. Bring to a gentle simmer.
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6
Simmer uncovered for 15 minutes. The root vegetables should be fully tender when pierced — gobo yielding without resistance, daikon translucent at its centre. The tofu pieces will have absorbed dashi and swelled slightly.
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7
Remove the pot from the heat. Add the mirin, then the soy sauce in stages, tasting after each addition. The dashi already carries significant umami; season with restraint. The finished broth should be savoury, faintly sweet, and lightly roasted in character — not sharp or salty on the tongue.
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8
Ladle into deep bowls. Grate yuzu zest directly over the surface of each bowl at the moment of service. The citrus volatile oils should be perceptible as a distinct aromatic lift above the roasted sesame and dashi base.