Here you are, hackerone.com/reports/826026, PS4 kernel exploit for FW 7.02 and below. Vulnerability discovered on 2019-06-09.
This must be chained together with a WebKit exploit, for example github.com/Fire30/bad_hoi… for FW 6.50.
The PS4 (up to FW 11.00) and PS5 (up to FW 8.20) were vulnerable to CVE-2006-4304: hackerone.com/reports/2177925. I'll share details about successful exploitation at TyphoonCon.