If the Pyro "after-bath" is causing an overall brownish stain, it may be
that the developer is exhausted and too oxidized.  I suggest your
student use a sodium metaborate after-bath rather than the spent
developer.  (Hutchins discusses this in the book.)  About 1/2-teaspoon
per liter is the suggested mix, although the exact concentration is not
that critical.  The after-bath simply needs to be an alkali solution,
not necessarily the spent developer.  If your student is processing his
film in some sort of a rotary system, I highly recommend the Rollo Pyro
version of PMK being marketed by B&S.  
Kerik Kouklis
Platinum/Palladium Photographs and Workshops
http://www.jps.net/kerik/
> One of my students has been using PMK for a long time and tells me
> that 
> Hutchings likes to put the film back in the developer after fixing to 
> increase the stain...  Negatives returned to the developer seem 
> visually to be more even, but more brown overall.  I wonder whether
> the 
> increase in stain really evens out the distribution or just makes the 
> negative appear more uniform.
> 
> The returning of the film to the developer seems to me to produce a 
> general stain across the entire negative and I doubt that it is 
> proportional.  Seems to me its effect would be with UV processes
> simply 
> to increase the necessary exposure.  With VC silver papers it would
> act 
> as an overall low contrast filter.  What we would need for UV
> processes 
> would be the least possible overall staining, but proportional
> staining 
> can help.
>