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Just checked, the C34 has double chainring, mine only one. Which is exactly the difference between a C34 and a C1000 (being also lighter in material), so no, mine is a C1000.
C34: http://velobase.com/ViewComponent.aspx?ID=35B21B38-8C67-4351-9729-A15564AA593B&Enum=115&AbsPos=6
C1000: http://velobase.com/ViewComponent.aspx?ID=14aed566-43f4-40c0-a6a4-671f29d6e1ff
Mine again: https://www.lfgss.com/comments/13918620/
That's actually a Williams C34, but none the worse for that - in fact it's one of my favourite chainsets.