CRANSTON, R.I.

ON the night of Sept. 8, Gina M. Raimondo, a financier by trade, rolled up here with news no one wanted to hear: Rhode Island, she declared, was going broke.

Maybe not today, and maybe not tomorrow. But if current trends held, Ms. Raimondo warned, the Ocean State would soon look like Athens on the Narragansett: undersized and overextended. Its economy would wither. Jobs would vanish. The state would be hollowed out.

It is not the sort of message you might expect from Ms. Raimondo, a proud daughter of Providence, a successful venture capitalist and, not least, the current general treasurer of Rhode Island. But it is a message worth hearing. The smallest state in the union, it turns out, has a very big debt problem.

After decades of drift, denial and inaction, Rhode Island’s $14.8 billion pension system is in crisis. Ten cents of every state tax dollar now goes to retired public workers. Before long, Ms. Raimondo has been cautioning in whistle-stops here and across the state, that figure will climb perilously toward 20 cents. But the scary thing is that no one really knows. The Providence Journal recently tried to count all the municipal pension plans outside the state system and stopped at 155, conceding that it might have missed some. Even the Securities and Exchange Commission is asking questions, including the big one: Are these numbers for real?