The ruling on wiping over light/modern socks
When is it permissible to wipe over socks instead of washing the feet?
Hanafi
Permissible if they are thick, preventing water from seeping through, and one can walk continuously in them.
Reference: Al-Durr al-Mukhtār
Maliki
Wiping is permitted only over khuff or over a sock covered with leather on its outer and inner sides; a sock not made of leather is not wiped over.
Reference: Al-Kharashī ʿalā Khalīl
Shāfiʿī
It is stipulated that the sock be covering and strong enough to walk in continuously for a traveller's needs, and prevent water from seeping through, whether made of leather or of something else.
Reference: Mughnī al-Muḥtāj
Hanbali
Wiping over a thick sock that covers the area is permitted even if it is not leather-covered.
Reference: Kashshāf al-Qināʿ