Smiting

Additionally, smiting weapons have an undocumented +2 enhancement bonus against constructs, much like a Construct Bane weapon.

"Improved Smiting" only shows up in the description; the weapons will be "of Smiting", making it somewhat more difficult to find this specific effect.

Additional information

 * Smiting is an effective Shroud Portal beating enhancement
 * Smiting is also very effective for beating down training dummies. After the first time it is destroyed on each new instance of an airship, the dummy remains in a "helpless" state and takes +50% damage (from Smiting, averaging 6d6 extra per hit and 150 (or 225 with Improved) damage on vorpal hits).
 * The Sovereign Rune of Smiting on Dragontouched armor and the runearm The Disciplinator uses the older effect instead: any critical hit on a construct forces the target to make a DC 23 Fortitude save or die. This effect stacks with the new smiting.