give an armour stand an item and give it invisibility the item will now follow you around.

Steps to reproduce

1) Place armour stand
2) give it an item (say a sword)
3) throw a splash potion of invisiblity onto it (or use command)
4) Armour stand goes invisable but the item follows you round (the sword will stay in the same place on the screen even when not looking at the stand)