:: If we are going by Google books, these are the figures: 
 "Soviet Socialist Republic of Iran" - 142 hits  
 "Soviet Republic of Iran" - 16 hits  
 "Soviet Socialist Republic of Gilan" - 58 hits  
 "Republic of Gilan" - 503 hits [used this name from the source I found above]  
 "Gilan Republic" - 222 hits [used this name from the source I found above]  
 "Soviet Republic of Gilan" - 354 hits '' 
 "Persian Soviet Socialist Republic" - 48 hits  
 "Persian Soviet Republic" - 28 hits  
 "Soviet Republic of Persia" - 3 hits  

 I still support a name change either to the Soviet Republic of Gilan or the Soviet Socialist Republic of Gilan'''. To the , do you have a source for the 'official name' you have given?