The Eristovs, also known as Eristavi, represent one of the oldest princely families of Georgia. The name of the family comes from the word "eristav," meaning leaders of districts or leaders of the people. Many members of this family held important government positions. Prince Alexander Dmitrievich Sidamon-Eristov (1863-1924), after graduating from the law faculty of St. Petersburg University, worked in the Ministry of Internal Affairs, was an honorary member of the Moscow Council of Children's Shelters, and in 1916 was part of the Ladies' Prison Charity Committee. The Eristovs lived in Moscow in their own house at Sadovaya-Kudrinskaya Street, 32.

The income house on Malaya Bronnaya Street, 31/13, building 4 was built in 1910-1911 for renting apartments. The project was developed by St. Petersburg architect V.A. Velichkin, who was a well-known figure in architectural circles at that time. He was a member of the St. Petersburg Society of Architects and served as the architect of the Sushchevskaya district of Moscow from 1893 to 1896. He later worked at the Moscow City Credit Society and became the architect of the Moscow office of the Imperial Theaters in 1911. Velichkin also had an independent practice, with his own office at Ostozhenka Street, 14. He is the author of the project for the "Savoy" hotel in Moscow and several other income houses and warehouses.

The house on Malaya Bronnaya is executed in the neoclassical style. The central part of the building is adorned with a portico featuring Ionic capitals at the second-floor level, supporting a stucco cornice. Between the columns are bas-reliefs on the theme of glory, stylized to resemble ancient art. To the left and right of the entrance, above which is a semicircular window, the cornice is supported by consoles with decorative female heads.

In the 1930s, the building came under the jurisdiction of the Ministry of Defense of the USSR, and for several decades, it housed Soviet military leaders. Currently, the house is protected as a cultural heritage site of regional significance.