I don't have any official source, but a rather extensive experience because I've done this many times to many destinations, mainly in Europe. I've never encountered a single issue.
Before doing it the first time, I asked if they would allow it when going through security on a previous flight. The main thing they were worried about was the sharpness of the pegs. Since this is not an issue (you would have a hard time cutting yourself with a peg), I decided to give it a go. After a first attempt resulted in no problem whatsoever - not even a manual check of my backpack - I have repeated this many times with the same result. The only times it was flagged as suspect was when the tent was still wet. I assume that this triggers the liquid detection of the scanner (please correct me if this is nonsense). Especially Manchester is an airport where this happens to me. It always appears to rain over there.
I have used different tents but on every occasion it was a small 1-person trekking tent. The pegs were small ones and each of those tents has either a single pole or one major pole and one or two tiny auxiliary poles. I have no experience with larger tents.
If you are looking for an official answer, I wouldn't bother contacting the airline. They are not the ones making the security checks. You should contact the airport or the relevant TSA-like organization. Eventual problems will not be airline specific, but airport specific.