[math-fun] Pi and Kolakoski

Hello Math-Fun, I read here https://bit.ly/2NmIOnh that 31,415,926,535,897 base-10 digits of pi are now known. Does it mean that if we have a list of, say, 10,000 digits of pi that starts with the 40,000,000,000,000th digit of pi, we won't recognize it as coming from pi (secretely computed so far by someone)? I guess we won't -- as pi digits look random. What about a 10,000 digits list of zeros and ones starting with the 40,000,000,000,000th digit of the Kolakoski seq? (again, let's imagine someone has secretely computed that). Is there a test that could give us a hint (the difference with pi being that Kolakoski is a selfdescribing sequence)? Thanks, É.