Housing of that type has been supplemented with tax money and the administrators are required by law to verify income levels. You are required to sign consent forms for verification and sign statements.
HUD obtains information about you from your local PHA public housing agency, the Social Security Administration (SSA), and U.S. Department of Health and Human Services. HHS provides HUD with wage
and employment information as reported by employers and unemployment compensation information
as reported by the State Workforce Agency (SWA).
If you are paying Social Security taxes, or income taxes, government records are available.
If you lie, they can charge you with fraud.