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It seems that the rest of the minuscules are at U+1d44e ..., but the h, which is called Planck's constant, is not used for h. I got this impression from replacing all these glyphs and observing the expected result except in the case of h.

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It’s ℎ (U+210E), in a different block than you checked. Here’s a useful reference.

Note that ISO style says to typeset constants upright, which would be \symup{h} or \mathrm{h}. There is also an upright ħ (U+0127) distinct from ℏ (U+210F). However, this does not appear to be common practice in mathematical physics.

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