The process was even more complex while the rate of TAI was
intentionally increased during 1995..1998.

Could somebody say more?  Or tell me what to google for?

Around that time the defintion of the SI second was clarified to
for blackbody radiation and so the rate of TAI (and thus UTC)
needed to be fudged; ever so gradually.

Two links for you:
http://tycho.usno.navy.mil/ptti/1996/Vol%2028_01.pdf
and
"Time: From Earth Rotation to Atomic Physics: a recent and
wonderful book by McCarthy and Seidelmann which you can
buy or read from scribd.com. In the text search box type:
black body and it'll send you to the pages of interest.

/tvb

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