The Earth is not infinite though. If the walls are smooth and indestructible and there is no air resistance, you'd reach the other side in about 40 minutes and briefly stop, allowing you to climb out on the other side with some agility.
The earth spins about its axis. Since the pit has no bottom and you can’t control your lateral position while falling, the earth is going to move around you, meaning the sides of the pit are going to collide with you.
When that happens, you’re effectively falling down against sandpaper with no way to stop.
By this logic, the Earth would move at supersonic speed below me whenever I jump. When I start falling, I keep my momentum with the surface of the Earth.
Anyway, of course there will be lateral movement because it's hard to control one's aerodynamics precisely enough. But theoretically, if you had an indestructible smooth pipe and there was no drag, you could safely travel to the other side of the world in under an hour.
Vanta black isn't an paint or ink and can't be painted. Is a chemical vapour deposition process to grow carbon nano tubes on a surface. Pretty high tech stuff.