Why is seeding the random generator not stable between versions of Python?

I am trying to reproduce a random sequence from python's random.random() on a different system with a different python3 version installed.

This should be easy as the documentation says:

Most of the random module’s algorithms and seeding functions are subject to change across Python versions, but two aspects are guaranteed not to change:

• If a new seeding method is added, then a backward compatible seeder will be offered.
• The generator’s random() method will continue to produce the same sequence when the compatible seeder is given the same seed.

So I expect the following code to print always the same 10 numbers, no matter the specific python3 version:

import sys
print(sys.version)

from random import seed, random

seed(str(1))
for i in range(10):
    print(random())

However, testing it on two different machines:

3.2.3 (default, May  3 2012, 15:51:42) 
[GCC 4.6.3]
0.4782479962566343
0.044242767098090496
0.11703586901195051
0.8566892547933538
0.2926790185279551
0.0067328440779825804
0.0013279506360178717
0.22167546902173108
0.9864945747444945
0.5157002525757287

and

3.1.2 (release31-maint, Dec  9 2011, 20:59:40)  
[GCC 4.4.5]
0.0698436845523
0.27772471476
0.833036057868
0.35569897036
0.36366158783
0.722487971761
0.963133581734
0.263723867191
0.451002768569
0.0998765577881

Give different results.

Why is this? And is there any way to make this to work (i.e. get the same random sequence twice?)