This is actually false and the NYT needs to immediately correct it. Elsewhere in the article they spoke to two former Biden interns who confirmed a key detail of her allegation, namely that after she complained she was suddenly removed from her supervisory duties.

A key part of Tara's story is that when she brought up harassment, she was retaliated against by not being allowed to supervise interns anymore. The interns corroborated that this happened, and Biden offered no alternate explanation for why she was removed from her duties.

To see why the NYT is wrong to say "nobody corroborated any detail," understand that there is now a hole in Biden's story. We know from multiple witnesses that she was, as she says, removed from supervisory duties suddenly. This corroborates her. And he hasn't explained it.