Doom Speed Demo Archive
https://dsdarchive.com/

Iwad:      doom.wad
Pwad:      deathless.wad
Map:       E4M5
Skill:     4
Category:  Pacifist
Exe:       dsda-doom 0.29.4 -complevel 3
video link: https://youtu.be/LIIazHyuJg0
Time:      0:33.40

Author:    Womp the Cat

Comments:
You don't need the armor which saves a bunch of time.
most of the time the shotgunners after the teleport wont shoot you before you can get into the hallway to the first switch.
if all goes well they will be dead when you come back out of that hallway section. They weren't in this run, but it didn't matter much.
the jumps by the baron was primarily my biggest block. often being knocked off the platform or not able to generate enough speed/get the right angle to make the next jump.
It seems like the most consistent way to do it is also the fastest, by running at the stairs at an angle straight from the switch room that raises the exit platform,
this would generally mean landing to the left of the baron, leaving a good runway to the next platform. 
very fun run otherwise.