This article is from the Calendars FAQ, by Claus Tondering email@example.com with numerous contributions by others.
The current 60-year cycle started on 2 Feb 1984. That date bears the name
bing-yin in the 60-day cycle, and the first month of that first year
bears the name gui-chou in the 60-month cycle.
This means that the year gui-wei, the 20th year in the 78th cycle,
started on 1 Feb 2003.