Yes, its safety used as a food additive has been approved by the U.S. Food and Drug Administration (FDA), European Food Safety Authority (EFSA),  Joint FAO/WHO Expert Committee on Food Additives (JECFA), as well as other authorities.

FDA
FDA has not published that all erythritol in the market are GENERALLY RECOGNIZED AS SAFE (GRAS) so far but it claimed “no question” that Cargill’s erythritol is GRAS when responded to Cargill’s claim for GRAS in 2019. It mainly based on two conditions (7):

Uses: as a flavor enhancer, humectant, nutritive sweetener, sequestrant, stabilizer and thickener, texturizer, and formulation aid in a certain food.
Production: through fermentation by Moniliella pollinis
EFSA
Erythritol (E968) is listed in Commission Regulation (EU) No 231/2012 as an authorised food additive and categorized as “sweeteners” (8).

Authorised uses and levels
Most of its application is listed in Group I with the usage of “quantum satis” for purposes other than sweetening. It can also be used as a carrier in all food additives, flavourings and nutrients. (9)

UK Food Standards Agency
Categorized in “Sweeteners” (10)

Food Standards Australia New Zealand
In Australia and New Zealand are all with the code number 968. (11)

JECFA
Functional Class: food additives, flavor enhancer, humectant, sweetener. (12)

Acceptable daily intake: ADI “not specific” set in 1999. (13)

http://www.chinafooding.com/Erythritol