However, this public minute entry is available, as of One PM EDT, on 09.19.2017:
…Order on Motion for Psychiatric Exam
ORDER re  Motion (as to Martin Shkreli.)
Ordered by Judge Kiyo A. Matsumoto on 9/19/2017….
Obviously, we don’t know whether the order denied or permitted a psych eval, but we do know someone (likely Mr. Brafman?) made a motion for it — post the date of his incarceration.
Document 373 is from 09.14.2017, and Document 375 is from yesterday — that was Mr. Brafman’s motion to release the $5 million.
So, the motion for a psych eval is after he was locked up.
That said, it would be reasonably common for BoP to go ahead and do a pre-sentencing report psych eval, in any event. But at least under Colorado’s federal system — no formal motion would be made, post conviction (as all the convict’s rights are diminished, post conviction and incarceration) — it would just… happen. Mostly to determine optimal facility placement, and probable profiles for longer term cellmate assignments.
HOWEVER, I should also mention that the government could also have made the motion, under its theory that his record of national security threats warranted it.
We may know that the eval was granted, if we see — on the public Brooklyn MDC website that he has been transferred to a state hospital of any sort. I will check every few days, now.
I will offer no additional comment or conjecture. As any of these is as likely as any other.
But this is certainly newsworthy, given his erratic behavior.
UPDATE: Altdt440 adds this — belatedly:
“…This should have been done in early August. Do you think throwing him in jail and the looming threat of an arbitrary sentence might skew the results of the test? hahah….”