I've just completed the pit solo but didn't get the achievement. I did this over a few sittings and apparently a lot of players have had the same issue and found that you actually have to complete the whole dungeon without leaving once for this to trigger.
This must be a bug - I'm sure shattered throne didn't work this way so how are players meant to magically know the same triumphs work differently across dungeons? The triumph states nothing about this so the only (reasonable) conclusion is this is indeed a bug.
Bungie, please fix this and credit those affected by it.
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10 RespuestasAllo there, As you found out you must do it in one sitting. While the triumph doesn't state that you need to do that. It also doesn't state you can leave. Unfortunately the only way to get it is to run it again and this time do not leave. Bungie will not reward you it.