The Michael Nowacki-led fund has built up 1,830,781shares in the shipowner, an SEC filing showed.
Its 5.9% stake is worth $1.52m based on the last trade of Box Ships shares on Friday.
Box Ships has a fleet of nine vessels on the water, eight of which are on charters that come up for renewal this year.
The owner finished 2104 by securing relief on a loan headache, curing a covenants breach and agreeing a repayment holiday after making payments upfront.
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