Biketrials pedal hopwith a Pedal Hop
The pedal hop is a nice controlled way of climbing on bars, wall edges and corners, where there is no room for the front wheel to rest. This is not a bunny hop. Rather than brute force, it offers much more control and it makes it easier to stay in balance on the obstacle.

Counting the pedal strokes...with acceleration
Start about one full crank turn from the obstacle on your good pedal (Fred is right-foot).
1° Pedal slowly and use the bad foot (left pedal) to lift the front wheel towards the obstacle. 2° Accelerate with a kick in the good foot pedal (right-foot) while extending the legs like for an extension upward. 3° The impulsion sends you off the ground, pull on the bars and fold up the knees to let the bike take off.
See the move in a video or with a mod bike

video
Ramiro climbing on a tree cut
More info?
The same way the bunny hop could be seen as a backhop launched while riding along, climbing with a pedal hop is like launching a pedal hop while rolling along. It is important to get your distance marks, so that you know when to start lifting the front wheel with the goofy pedal, following up with the good-foot pedal kick and extension.
video
John getting onto a rail
slow-motion style
video
Acceleration from a static start (a progressive pedal kick)
The pure move
Rather than just a kick in the pedal, from a static position, you are already doing some smooth crank turns to move forward the obstacle when the pedal kick comes in (acceleration). With some practice, you can even launch a pedal hop without room for a complete crank turn. You need to have enough balance to prepare for the impulsion without the bike moving. Then, an optimised pedal kick combined with an extension will let you climb on obstacles. This pedal hop climbing technique is more realistic for use in biketrials competitions.