The newspaper could not appeal unless it posted a $10 million bond, and instead declared bankruptcy, eventually settling for slightly more than its insurance limits.
An author and a local newspaper have appealed to the commission to open the records.
The newspaper appealed and the case began working through the court system.
A spokesman for The Globe said the newspaper would appeal.
Catherine Mathis, a spokeswoman for The Times, said the newspaper would appeal the ruling.
On May 26, the court held that the university was in compliance of the law, a decision that the newspapers are appealing.
In turn, the newspaper appealed to the state Supreme Court, which dismissed it on the grounds that there were no significant constitutional issues.
Mr. Glazyev's resignation has not yet been accepted, and today some newspapers and business leaders appealed for him to stay.
The newspaper appealed to the Supreme Court, arguing that the appeals court had not met its constitutional obligation to conduct an independent review of the evidence.
The editor of The Inquirer, Walker Lundy, said the newspaper would appeal.