A BBC Verify analysis of Cpt Rzhitsky's profile - which is public - shows that he frequently ran through the area where he is reported to have been killed. Facial analysis carried out by the BBC confirmed the profile belonged to Cpt Rzhitsky.
His address and personal details had also been uploaded to the Ukrainian website Myrotvorets (Peacemaker), a vast unofficial database of people considered to be enemies of Ukraine.
The word "Liquidated", in red letters, has now been superimposed on his photograph on the site.
In a statement, Ukraine's military intelligence said the park was deserted due to heavy rain, "so there are no witnesses who could provide details or identify the attacker".
His watch and headphones were found at the scene, indicating robbery was not the motive, according to Russian news outlet Mash.
Cpt Rzhitsky reportedly commanded the Krasnodar submarine, named after the city, in the Russian Navy.
Ukrainian media has said he could have been in command of the vessel when it carried out a
missile attack on the Ukrainian city of Vinnytsia in July 2022, which killed 23 people, including three children.