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Is there any particular theory about why some games attributed to Dosaku are not geunine? Are those games suspected to have been played around the same era as Dosaku's but by somebody else, or are they more recent?
There's a small handful of games in Chinese sources that, as far as I know, have never been acknowledged in Japanese sources except for one where the number of moves differs. It may just be that the Japanese collectors haven't been aware of these games. Or they may regard them as spurious.
There's a couple of games in the Japanese corpus where alternatives exist as regards the players. The most interesting is a relatively recent find where we know only that it features two of three named players but whether Dosaku is one of them is uncertain. He is given simply as Sensei, which suggests to me he was viewing ex cathedra, but some people think he was actually playing.
Then of course there is the Dosaku game invented for the 2012 film about Shibukawa Shunkai.