Permanent Buffs, commonly called Golden Statue Buffs, are positive stat modifiers that don't expire and persist through death. They can be acquired through various sources.
List of Buffs
Each buff type has a 1/7 (14.29%) drop rate, with the exception of Health buffs, which have a 2/7 (28.57%) rate. It uses a pseudo-random distribution, meaning that for every 7 buffs received, the player is likely to get at least 1 of each type and 2 for Health. Getting the same buff multiple times in a row decreases the odds of getting it again next time. The distribution considers buffs received from all sources.
For Golden Statues specifically, the drop rate only considers which buffs were spawned by the player breaking statues, even if they weren't picked up (meaning that a player can't manipulate the drop rate by not picking up specific buffs).
Sources
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