is
is identity testing, ==
is equality testing. what happens in your code would be emulated in the interpreter like this:
>>> a="pub"
>>> b = ''.join(['p', 'u', 'b'])
>>> a == b
True
>>> a is b
False
so, no wonder they’re not the same, right?
In other words: a is b
is the equivalent of id(a) == id(b)