An inscription on the 1, 3, and 5 rubles notes says that it is a State Treasury Note (Государственный Казначейский Билет), and that it is guaranteed by anthe entire property of the Union of SSR (обеспечивается всем достоянием Союза ССР).
On the other hand, the inscription on the 10, 25, 50, and 100 rubles notes says that it is a State Bank Note (Билет Государственного Банка), and that it is guaranteed by gold, precious metals, and by other assets of the State Bank (обеспечивается золотом, драгоценными металлами и прочими активами Государственного Банка).
Just in case, here are the images of the notes.
There were absolutely no difference in their circulation.
What was the rationale of having two independent sources of currency?