The credit came from a Yahoo! Japan Auction listing for this:
http://vgmdb.net/album/8253
The seller credited Hyakutaro Tsukumo for 1.02 (which corresponds to 1.04 on this album). Some other sites also picked up this information.
However Shoichiro Sakamoto's site (
http://sepher.jp/) says he composed
all BGM (全BGM・SE制作), so I've removed the credit.