I think it is important to point out that while the rumors expected the new document on Holy Thursday, it appears that Vatican documents, for some reason, often don't get promulgated for awhile after they are signed. As an example Deus Caritas Est was released on January 25 but at the end of the encyclical it reads "Given in Rome, at Saint Peter's, on 25 December, the Solemnity of the Nativity of the Lord, in the year 2005, the first of my Pontificate."
Maybe we can expect something around the 13th of May.
That date is, interesting enough, an anniversary of one of Our Lady of Fatima's apparitions.