So, this has sortof already been asked: Unix time and leap seconds
...but I'm just not getting it. Judging from the lengthy and varied comments, I'm not convinced anybody else does, either.
So, I'll ask my own question. Consider that there is an exact value of a "real" second: 9192631770 transitions of a caesium 133 atom. As I understand, this does not align perfectly with our idea of 60*60*24 seconds in a day, because the length of a day varies, basically, and THOSE don't line up perfectly with year boundaries, hence leap days and leap seconds, etc. Now, suppose that on 00:00:00 Thursday, 1 January 1970, I started a caesium clock going. According to currentmillis.com, as I write this, Unix time is 1565994103 seconds.
Would the caesium clock agree?