The V-brake pads are creaking when the wheel is still and I press the lever. (I.e. not a duplicated of this question, because they don't creak when trying to stop the rolling wheel.)
What could be the reason?
Some thoughts of mine:
I don't think the absence of "toe-in" counts in this case, because the wheel is still, and hence there can be no resonance. (If I understand correctly that's what toe-in achieves: prevents the pad bouncing on and off the rim while it is rotating.)
A similar creaking happened to me once, when the brake pad was rubbing on the tire, but upon close inspection this seems not to be the case now (as far as I can tell, the two are not touching.)
If I loosen the pads, the creaking stops (so I think it is not some other part of the system, which causes the noise, e.g. calipers not being lubricated at the point where they rotate).
When trying to stop the rolling wheel, I don't hear the noise (but maybe it is just so subtle, that it is covered by the other subtle noises the bike is making).
I captured the noise in this video: