Higher tire pressures at the track is a common, predictable phenomenon. Likewise you can't go by a starting initial pressure for all track days.
And you can ignore the Porsche recommended cold tire pressures on the track -- your cold starting pressures will be higher.
The experienced track day drivers will do two things:
1) fill the tires with nitrogen -- the humidity in air is what causes the most expansion in air-filled tires. Nitrogen is inert and completely dry.
B) monitor the tire tread temps, inside, middle, and outside -- after each lapping session to ensure they're as good (uniform) as they can get. This can be done with one of those hand held laser point/shoot thermometers.
Let some air out if the center and/or insides of the tread cross section are significantly hotter. 10 - 20 degrees+ is significant. Likewise if the center is markedly cooler then your pressures are too low and you're using only the tread edges (!) -- add air, then watch to see that the center doesn't start warming too much.
[If temps are uneven the hotter parts of the tire are in contact with the pavement, the cooler parts less so. You want the load equally spread inside-middle-outside. Ideally the temp should be the same: inside, middle and outside of the tread cross section. With negative camber this is hard to do as the insides will run hotter than the outside. Best I could do for my rears was a 10 degree F increase @ center vs outside, and 10 more inside versus center. I was able to manually adjust my front pressures to a pretty uniform temps inside-center-outside.]
Once you get the pressures stable you can then back off on the monitoring -- check your cold tire pressures and remember those values ... Start the next track day with those cold pressures.
Since tracks and pavement temps vary day to day -- even hour by hour -- the goal is to maintain best grip and contact patch by measuring tread cross section temps throughout the day. You'll have to check pressures as they rise, periodically letting air out when the center tread temps jump. Tread temps dictate tire pressure.
And after you drive home and the tires have cooled you'll likely need to add air back for street use since you were letting air out during the track day, right? So unless you have a set of track day wheels and tires, nitrogen fill isn't practical.
That hissing you hear in the pit is your fellow drivers adjusting their pressures. Take the time between lapping sessions to do the work or lose grip ("handling") and chew tires regardless of brand.
And if your pressures are as good as you can get them and your handling is still off, work on your driving ...
mmmv,
-PM.