Typically, through-hole LEDs seem to have the cathode (-) side connected to the "anvil" and the annode (+) connected to the "post" (see diagram below).
...But I now have in front of me an LED that does not follow that convention.
The light is coming from the annode (+) side.
Note that this LED does not have a "flat spot" as seen in the diagram. The lens is actually ovular instead of round.
The cathode is still the shorter leg, so I assume that convention that is more universal.
As for the anvil/post, why would this one LED be different, and is there any purpose to either convention?