Answer: it would most likely burn up
Original paper: https://www.sciencedirect.com/science/article/pii/S009457652...
Original paper: https://www.sciencedirect.com/science/article/pii/S009457652...
Not much survives at those speeds, in an atmosphere, without careful engineering.
The SR-71 story should be updated with an ATC speed request from the ISS.
"However, the paper space plane experiences severe aerodynamic heating in the order of 10^5 W/m^2 for several minutes."
I can see how that might be a problem for something made of paper. Interestingly, deformation from flying through a (thin) atmosphere at hypersonic speeds was not a large issue according to the paper.
Most paper airplanes I ever built would not stand up to 500 m/s airspeeds, I can tell you.