https://ec.europa.eu/info/live-work-travel-eu/coronavirus-re...
https://ec.europa.eu/info/live-work-travel-eu/coronavirus-re...
So if I got a negative test in July and a positive one yesterday, and I want to fly somewhere, it seems I can just copy the QR code from the test in July and paste it into a Word document that says "The test was performed on January 10, 2022, and the result is available through this link: [QR code with the link to the results from July 2021]". And it seems this document doctoring (with a document with a result that allows unvaxed entry) is what Team Djokovic has done.
Serbia's one of 33 non-EU countries whose centralised system is up to EU standard, and as such you can get both the Serbian QR code and the EU QR code.
As such, assuming no shenanigans (even though things point otherwise), he should have no problem converting it to the EU QR code and presenting that.
But for the international version you can’t just decide to give less information because then it won’t accepted.
(I'm in the EU): I can get a free "gargle" PCR test - either via walk-up test centre or via collect/test-at-home/drop-sample-in-collection box any time I want here, and in both cases there is zero verification that the sample I provide for the test actually came from my mouth.
If you have a friend who is Covid19 positive, it would be trivial to get yourself a positive result.