Abstract
The conservation of magnetic flux demands a magnetic field fine structure as small as 15 km to explain the net circular polarization observed in penumbrae (Sánchez Almeida [CITE]). A recent work by Martínez Pillet ([CITE]) claims that modeling penumbrae as a collection of fluxtubes 100 km wide suffices. We identify several shortcomings of such modeling so that it is presently unclear whether it really contradicts the former conclusion.

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