So, this is probably one of the most ludicrous bug reports you've seen, right? Door bounding boxes are off by 0.005 of a block.
In PC (and according to the wiki) they are 0.1875 blocks thick (3/16). In PE, they are 0.1825 blocks thick. Maybe a typo, (probably) affects nothing but custom server movement anti-cheats causing the odd glitch when walking through doors.
Reference: http://minecraft.gamepedia.com/Door#Barrier
EDIT: This also affects trapdoor bounding boxes.
This information was obtained using IDA.
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If you look very, very carefully here, you can see that a tiny sliver of the next line of pixels is showing under the door.
Relates to MCPE-13451
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Confirmed using BlockLauncher, printing out the AABB
Confirmed for Trapdoors
Problems caused:
Glich off from trapdoors when sneaking on a corner
Items sometimes glich through when forced into the corner (e.g. with water)