As of March 13/2011, a new curiosity based LP system was introduced. It appears to be intended to help minimize the advantage gained by botters. When first introduced, many players objected heavily to its induction, especially due to the fact that it was radically different from the grind based experience system that was in place previously.
They are initially come from contact with new objects through acquisition. Picking your first branch off a tree will give you LP, but picking a branch off the ground will not. Crafting of some objects like Wooden Cutlery will give LP for the first time, while the creation of others like the kuksa will not. It seems all symbel items give LP, while other crafted items mostly don't. Any item that is used to craft another item will provide "acquisition lp".
After first encounter LP, LP is gained off of studying one or more curiosity. These can be crafted, foraged, caught, or even created as a side effect from other activities.