System Information
Operating system: Windows-10-10.0.22000-SP0 64 Bits
Graphics card: NVIDIA GeForce RTX 3070/PCIe/SSE2 NVIDIA Corporation 4.5.0 NVIDIA 472.84

Blender Version
Broken: version: 3.0.1, branch: master, commit date: 2022-01-25 17:19, hash: rBdc2d18018171
Worked: (newest version of Blender that worked as expected)

Short description of error
When using Pointiness from Geometry is shading nodes on a sculpted mesh, white dots start to appear.
They don't seem to follow any particular logic with the placements and smoothing them away with sculpt brushes also doesn't get rid of them

Exact steps for others to reproduce the error

1. Sculpt something
2. Use a material with pointiness
3. Witness white dots

Example file and video below