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Pancake lens for Sony A7C?

Are there pancake lenses for the A7C? While in Japan I saw a lot of older japanese guys with some camera which I couldn't identify, it looked like some digital remake of some older camera, but what struck me was that they all had this pancake lens which made the whole package very thin and small.

My A7C is also very compact already but the 35mm 1.8 lens is, while very compact, by far not flat, so I can't put it in my pocket for example.

It doesn't need to be very fast, because I will use it mostly outside in good light.