AP Royal Oak - what Ref.?

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Can somebody help me find out what reference number this is?
•Automatic
•About 34mm diameter
•Steel

I tried to find out myself but they made waaaaay too many iterations of the RO, so any help would be very much appreciated.

 
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4100...the smaller diameter gives it away.
 
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From the measurements it looks like it could be a 4100, with what looks like a later dial
 
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Looks like a 14790 dial. The 4100 painted AUDEMARS PIGUET has a thinner and less serif font. Is it possible to ask for the case number?
 
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From the measurements it looks like it could be a 4100, with what looks like a later dial
Perhaps a 4100 w/ a service dial?