Could be quite a few types of arm.
By the core do you mean the stack of iron plates the windings are wound round?
Are you sure it's a Parma? There are lots of makes that look quite similar.
Is there a sticker bonded on top of the windings - if so what does it say?
Is anything engraved on the stack - if so what does it say? (sometimes this can be hard to read)
How long is the stack?
What diameter is the stack? (the exact diameter can be a useful clue about what it is)
Truing the
comm 
, balancing and truing the stack could all be done after original manufacture.
Truing the
comm 
is routine maintenance on higher end motors, lots of the quicker guys have their own
comm 
lathe.
There are quite a few balancing services out there. It is quite common to have arms rebalanced periodically.
Truing the stack is a straight forward lathe job.