Who's surface is older? Who's oldest? The smart bet is on Callisto, but you never really can tell. It could be Venus, but not Venus's surface. That is clearly young. The chronology of the early solar system is a puzzle to which pieces are constantly emerging but most remain missing. Earth is older than The Moon, we can say that, but how old is Mars really? Is it smaller in part because it started later? Because Jupiter ate all it's food? Solid bets, but still unknown.
Mars is actually dated 4.1-3.7 bya semi-officially, Luna (The Moon) is dated 4.41 bya. Callisto? actually just 4.0 bya but the number is little more than a placeholder. We know more about Mars and Luna, but even still we don't know enough to be certain that Mars is younger. These numbers have a large amount of uncertainty in them, but just like we can be sure that Earth is older than Luna, and Callisto is younger than Jupiter, this IMRAD will take a step toward determining the eldest between Luna and Mars.
In the introduction we find that dating by crater counting is actually limited to 3.92 bya. That explains why the dates for Callisto and others bunch up at around 4. You need secondary evidence to go older, and that comes mostly from superposition and modeling. An old thing overwriting some of another old thing by superposition means that the overwriter is older, and if you can figure out how much older then you get a range. Luna is used as a baseline in all crater counting. As you would guess there's a lot of nuance included in that since we don't actually know if Luna is an ideal baseline. The environments in the solar system vary too widely.
Here's a problem; Mars actually has way too few big impacts compared to Luna. There's obviously something amiss. Compared to Luna Mars should have 40 big ones, Mars actually has 7, and the seventh is debatable. Smaller-big craters actually deliver the expected ratio where Mars has a lot more. Part of the issue is that even 40 is a small number to statisticians and this kind of research is heavily reliant on statistical math. It could have something to do with Jupiter, it could be that Luna was hot and squishy and really good at exaggerating how big a thing hit it. Could be all of that and more.
The paper strait-up skips to results before methods, because their results are pretty straight forward and brief. "The observed Mars number is significantly smaller than the scaling would predict." Meaning Luna is either older, has/had some property that makes big craters, or maybe Mars is bad at catching impactors. But for sure Mars got hit less.
Now the methods. As promised, small number statistics put an umbrella of uncertainty on all this. A subtilty the team peppered all over the paper is that the squishy factor, whether Mars or Luna was hot at the time of impact is currently testable. Some of the radiogenic isotopes usable for dating exist somewhere in a hard-drive, both worlds have seen probes. And there is probably other data that could confirm or eliminate the possibility of any squishyness. Someone could be researching this right now.
In the discussion the emphasis is that Mars and Earth do not catch the same number of impacts today, not even close. So obviously the time of big impacts probably had two wildly different environments. Keep in mind we don't actually know the positions of either Earth or Mars at that time, which really puts a hard drag on the ratio of Luna vs Mars even meaning what we want it to mean, aging.
In the end this IMRAD caught an interesting imbalance and aggravated the questions that came up with it. It didn't make any hard claims other than Mars got hit less than Luna. But questions as to the reasons why are defined clearer now, so the research process continues with better focus.