I have a 1983 Trek 700, and also saved the catalog download. In 83, no 710 was listed, only the 700, 720, and 760. That color combo was used on the 600 of 83. Comparing your bike to my 700 with an 079xxx serial number shows many similarities. Mine is also the 22.5” size. Your frame 531 sticker might show 531c. Mine has the same brazed on rack mounts. Mine has the same look of the seat stays at the top of the seat tube. Mine has exactly the same rear derailleur odd shaped cable stop that was used for a special ferrule for the Superbe Tech rear derailleur. Mine has the same Shimano rear dropouts with the nicely finished seat and chain stay ends. Mine has the same fork crown and 531 decals. Mine has the same bottom bracket shell with the distinctive cutouts and Trek stamp, and also the cable routing setup. My BB shell however has a 58 in that BB stamping where yours has a 60. I’ve read some discussion on those but don’t remember what the difference was.
My wheelbase is around 40.5”, so measure yours while also looking for the “c” on your 531 stamp. Perhaps yours is also an 83 700 but with a custom color that was also used that year.
Congratulations on a nice Trek. If it is a 700, these are somewhat rare and only made in 83. From specs, they are quite similar to the earlier 700 series bikes, but with an ever so slightly shorter wheelbase. Mine is a wonderful ride. Yours is in better shape than mine which I also have set up as a triple now. These were listed as over $700 msrp and specced with a full Superbe group and Campagnolo Tipo hubs. You will certainly enjoy this. A pic for comparison and because everyone likes pics.
Well used and far from stock