After the late drama in the sides' recent meeting - when United scored twice in injury time to snatch a 3-2 win - it was no surprise we had to wait until late on for the contentious moments in this game.
Hibs started vibrantly, but were not truly testing Jack Walton in the United goal.
Miller had a brilliant chance when Jordan Obita breezed to the byeline and cut the ball back, but the Australian defender's shot was more like a clearance as it came off his heel.
He soon made amends. Getting on the end of a superb Obita cross, Miller rose high at the back post to bullet his header across Walton and in.
Hibs' half-time lead was well merited and United changed things up, making two substitutions and changing their formation to a back four.
It almost worked straight away. Luca Stephenson got down the right and cut back for David Babunski, but he sliced his effort wide.
Hibs were still creating chances though. Kwon Hyeuk-Kyu chipped an effort just wide after a poor defensive backpass from Kevin Holt. Warren Ekpiteta had a header tipped over the bar.
But, as always seems to happen, it became nervy in the final few minutes for Hibs. United launched the ball into the box and the hosts had seemingly cleared, but referee Colin Steven heard a voice in his ear.
Over to the VAR screen he went, and found a Kuharevich foul on Adegboyega. The Ukrainian striker was sent off and Dalby fired in a brilliant penalty to once again peg Hibs back late on.