Silver Sliver is a 
Daedalus Pistol
Its special effect is Splinter - On hit, enemies take +1% Damage for 15 seconds, stacking up to 50 times.
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How to Unlock The Legendary Silver Sliver Pistol
Weapons
Legendary Loot
Overview
How To Unlock
Unlock Location:
- Progress through the (Murders and Acquisitions) DLC until reaching the Final Boss BETAMAXXX.
Farm Method:
- Defeat BETAMAXXX to get a chance at the Silver Sliver.
- After use the Encore Machine nearby to reset the fight.
- Repeatedly defeat BETAMAXXX until the Silver Sliver drops.