How can we be confident that Tacitus really wrote any of the works attributed to him, namely his Histories and Annals?
The background here is that when we discuss the historicity and/or accuracy of Tacitus' reports, we often appeal to Tacitus himself as perhaps being in a position to know these things. For instance, he is said to have lived ca. 56-120 CE or so, and so when he speaks on events in this period it makes us more inclined to believe him.
Compare this to something like the Acts of the Apostles, where "Luke" claims that he is a companion of Paul who accompanied him on a few of his missionary journeys; and yet historians are divided on whether this is true. What makes historians so confident, in contrast, that Tacitus did and saw the things he claimed he did?
Of course Tacitus did not claim to be an eyewitness for most of his Histories or Annals, but the principle is the same. How do we know that what Tacitus does claim about himself is correct?
One starting point might be Pliny the Younger, who mentions that 7.33 of his own letters that he anticipates Tacitus' Histories to be published in the future and achieve high popularity. If we accept the authenticity of Pliny's letter then this would be helpful, even if not completely persuasive. And even so, what of Annals?
I suspect that both Histories and Annals would have been quoted or referenced soon after their publication. Perhaps this can help establish a terminus ante quem, which in turn might bolster its authenticity? But then, where can we find these early references?
Any thoughts---or especially references!---would be much appreciated. Thanks!