The original short name property, Property:P743, was a plain string (not language-specific). It was deleted after discussions agreed that short names were generally specific to each language;
A second short name property, Property:P1813, using data type monolingual string (associated to a single language) is used as a replacement. However extra values (triplets) of that property are needed for each individual language;
Some users (that I support) proposed that this property should use multilingual string, so that a single instance of the property would maintain values for all languages. As of April 2015, such a datatype does not exist, though it appears in the Wikidata development plan.