According to the insider source of the Japanese website digicame-info, the Pentax Q is to be announced on June 23rd. The Press Conference for the product release will be held at Tokyo time 1:00 p.m. (UTC +9:00).
The digicame-info subsequently also noted that there was a published information about the invitation to the press conference (now removed) at 2:00 p.m. Tokyo time, so it re-confirm the product release, but only whether the press conference will be held at 1 or 2 p.m. is uncertain.
Finally, it has also been reported at the Japanese Nikkei News on June 19th that a new Pentax mirrorless will come this summer, as told by Hoya. And this Pentax mirrorless is targeted at the current mirrorless market segment where Pana and Sony are in.