Reputedly

In the tenth century, the city of Shiraz already held a library that reputedly featured a copy of every known book at the time.

Near-synonyms: reportedly, purportedly, putatively, rumoredly, supposedly, allegedly, ostensibly, possibly, probably, likely, plausibly

The old mansion was reputedly haunted, but few were willing to go and investigate.

The brain of a calf, sheep, and pig, young and served fresh, is reputedly erotic in its effects.

That’s nothing compared with the actions of Emil Bove, Trump’s new nominee for the US court of appeals for the third circuit, who reputedly told subordinates at the Department of Justice that they should “consider telling the courts ‘fuck you’” and ignoring any court order blocking a planned deportation flight.