Everyone accessing someone's uncritically reviewed work is a bittersweet gift.
Everyone accessing someone's uncritically reviewed work is a bittersweet gift.
Math papers tend to be highly technical, read by other specialists in the field. When it comes for correctness -- whether or not I should take a paper with a grain of salt -- the authors' reputation counts for much more than the journal's. And in case of student authors, who are just beginning to publish, the advisor is implicitly staking their reputation on the work as well.
There are also preprints on the arXiv, written by people unknown in the community, claiming to prove the Riemann Hypothesis or some such. These aren't taken seriously by anyone.
An outsider might not be able to tell which preprints can be considered equivalent to papers, but such people are not likely to be seriously reading math research in the first place.
The informal one you describe here, or any formal one you can come up with.
Instead, think of the goal being to associate measures of worth with the reviewers. If you're publicly rated by a bunch of worthwhile people, count yourself lucky.
Exactly, that's why I am not suggesting any change to Arxiv.
Think more of people eg submitting Arxiv URLs to Hacker News for what I have in mind. Or discussing Arxiv submission on a forum or in a wiki etc. You can imagine some specialised software that has some better support specifically for material from Arxiv.
That's what I mean by 'overlay'.
Or think of Slatestarcodex publishing a blog post with links to his favourite Arxiv papers for that month. That's pretty much equivalent to what a journal produces. And if Slatestarcodex compiles that link list by doing some peer review and chatting with the authors of the papers, that's almost exactly what the journal does.
https://browse.arxiv.org/pdf/2310.02335.pdf
Do not trust arxiv papers. They have not been vetted.
Review work is not always done by senior researcher (e.g., professors). Senior researchers often hand this down to PhDs. Having 3 to 4 reviews by nice junior reviewers doesn't sound very critical.
So PhD students writing the initial review is not weird - it is an expected part of their training. As is the supervisor going over the review and providing constructive feedback. As is the review being submitted under the supervisor's responsibility, with credits (mention in proceedings) to the student for acting as a subreviewer.
Yes, there are ways to abuse this system and yes, abuses do occur. Any system for gaining job prestige or workload reduction is a target for gaming. This doesn't mean the system should be thrashed, but it does warrant additions to curb excesses.
The sibling comments about making sure that most reviews are written by senior researchers also make good points. That should be checked by the program committee or editor.
It is of course true that published papers have been vetted. But very often, it simply means that 1. an editor glanced at it, 2. (optional) a peer provided a positive quick opinion on the paper, without checking the correctness, 3. one or two independent referees presumably read the paper and produced a report on it. It's not nothing, but it doesn't mean you should accept blindly as truth everything published.
For context, I'm an associate professor of mathematics at a large research university.
Peer review is the first filter that papers go through. It's not perfect (it makes mistakes in both directions), but the output of the peer review process definitely has a higher signal to noise ratio than the input.