Yep,  a single 8-pin chip with 4 pins used (VCC, GND, in, out).   I did 
something very similar to this in an ATTINY-13 (OK I used a TINY85, but the 
code was less than 200 bytes long).   I can't share it since somebody paid for 
the thing and it is not directly applicable,  but it is rather trivial to do.   

If you want to get fancy,  you can have the thing self-calibrate the pulse 
generation loop to optimize the output pulse timing to minimize the "dead time" 
between the last pulse out and the next 1PPS pulse and compensate for RC 
oscillator drift/variation... but that is an unnecessary complication for a 
wall clock display.  Just hard-code it and leave enough margin for device 
variation/drift.

-------------------

>  Some of them come with builtin R-C  oscillators so the parts count would be 
> really low.
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