Drop cold pressures maybe 7 PSI front, 3 PSI rear (from road car 33/30)
Do 3 - 5 laps (lower lap count if you're car/driver isn't working the tyres much, higher lap count if you're working the tyres properly & getting brake temp (thus the all important wheel temp!)).
Pit & drop tyre pressures to your target pressure (rule of thumb is 2.0 bar hot as a baseline to start from for a racing slick).
At end of session wait till tyres cool down to ambient temp.
Take cold pressure from each tyre.
That will give you a good starting point for cold pressures for those
exact conditions. Then adjust (by trial and error) depending on tyre wear, wear patterns, track layout, car setup, driver etc (the list is endless)
Where does 7/3 PSI come from? Needing a safe cold pressure & the fact that it's far easier to bleed air than add (cold) air to a (hot) tyre.
Where does 3-5 laps come from? A good assumption for when temps & pressures stabilise for this thread.
Where does 2.0 bar come from? This is a fair "average" value given by tyre manufacturers for racing slicks. Pressure creates structure & therefore mechanical grip. Temp creates chemical grip through tearing the tyre surface (on a teeny tiny microscopic scale) and revealing fresh rubber
Why take a pressure from each tyre? Because, if the tyres are being worked, each corner will experience a different amount of load, therefore generate a different amount of heat, therefore expand the air in the tyre a different amount, therefore needing different cold pressures to ensure everything comes up to the same pressure when hot.
Have a look what Yokohama say, just to throw some brown stuff at a fan.
Have you tried to get tyre data off of a manufacturer's website before
Let me know when you find anything more detailed than rolling circumferences or (at a stretch!) operating windows for pressures and temps.