Matthew Barnett added the comment:

I think the relevant standard is ISO 8601:

https://en.wikipedia.org/wiki/ISO_8601

The first day of the week is Monday.

Note particularly the examples it gives:

    Monday 29 December 2008 is written "2009-W01-1"
    Sunday 3 January 2010 is written "2009-W53-7"

So the first few days of January can be in the last week of the previous year!

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