its really simple so no extra detail is really needed
the pump has two leads on the bottom...2 wires from there to the power supply wires (soldered to the leads) and you have a pump that works
Well, your single photo gives almost zero indication of what you've got there (to someone who doesn't know what those parts are), or how you built it, so obviously more detail is needed if you want to help people do the same thing.
If you don't want to help anyone else, then you're right, no extra detail is really needed.
What may be obvious to you has me perplexed and I would appreciate some more details on how you did this.