What would the DC be to climb a suspended rope in Pathfinder?
You might want to check the table at the right hand of the page you referenced.
DC Example Surface or Activity
0 A slope too steep to walk up, or a knotted rope with a wall to brace against.
5 A rope with a wall to brace against, or a knotted rope, or a rope affected by the rope trick spell.
10 A surface with ledges to hold on to and stand on, such as a very rough wall or a ship’s rigging.
15 Any surface with adequate handholds and footholds (natural or artificial), such as a very rough natural rock surface or a tree, or an unknotted rope, or pulling yourself up when dangling by your hands.
Want to go up a plain rope, all on its own? DC 15. Right there.
