Military and conscription records contain very precious genealogical information. They provide not only vital information on your Italian ancestor but also physical information.

It is not uncommon to discover that first and last names are different from the original spelling found in the Italian vital records. Inconsistencies can also be found in the date of birth; U.S. records (birth, marriage, death and naturalization records) may list different birthdates.

The Certificate of Citizenship is not the Naturalization Certificate issued by the USCIS here in the U.S. It is a certification issued by the local Italian Town hall stating that your Ancestor at the time of his/her migration was still an Italian citizen.
NOTE: Town halls do not have a common procedure regarding what to issue when it comes to Certificates of Citizenship:

The estratto per riassunto dell'atto di morte or extract of the death act (which is the format required by the Italian Consulate to process your application for Dual Citizenship), provides the following information:

The estratto per riassunto dell'atto di matrimonio or extract of a marriage act (which is the format required by the Italian Consulate to process your Dual Citizenship application), provides the following information: