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Re:Project Loon by wsh on Saturday June 15, 2013 @01:54AM (#5884252)
This master's thesis from 2005 ("The Vertical Limit of State Sovereignty") has a fairly comprehensive account of the history and present state of international law in this area:

http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA436627

Re:Project Loon by tellarin on Saturday June 15, 2013 @04:19AM (#5884497)
I'm familiar with that. And the guy proposes 22Km as the limit.

Besides, a lot has changed in the use of airspace and space in the last 8 years.

Yet, I don't know of any authoritative source for the actual current claims of most countries.