> Ok, but what are we verifying, the pre-adjusted numbers, or the post-adjusted numbers?
You would compare the raw data (pre). You should also look at the models people use to adjust and ask yourself "does this make sense?" I should mention that the raw data suggests significantly more warming than is actually happening (which is why I've never understood the raw data argumet). This is because most ways we measure are actually artificially warm. There's a good layman's discussion here [1]. I'll mention that article gives lots of links to follow and is one of the first things I give technical people that are interested in learning more about the basics. It will give you a world to google and terms to search.
> pretty sure I found the original source, but the problem is, it doesn't say 97% of scientists support it, or that 97% of papers support it.
This is true, but I think you also misunderstand what it means. IIRC it also included papers from arxiv and other preprint services, which aren't peer reviewed. There are other studies that have done surveys on opinion breakdowns between different types of scientists. You still see an overwhelming trend (I believe >97%) among climate scientists that support it.
> And then I read things like: "The US right, for decades...
Leave politics out of science. Well at least as much as you can. Stop reading these things, they aren't relevant or useful. Different parts of academia have different problems, and they don't apply to all parts.
> So, partially because I'm genuinely skeptical...
GOOD. PLEASE BE SKEPTICAL. As a scientist I will NEVER discourage someone from being skeptical. But you also need to do more than just say "I'm skeptical", that is being a conspiracy theorist (in the bad way). A real skeptic looks into the claims made. That's what being skeptical is. So I encourage you to look at the data. I encourage you to actually talk to scientists that directly work on this research (as opposed to me). Most scientists are extremely happy to talk about their work, unless you're being mean to them.
If you are really skeptical please at minimum read [1]. Better, go through the other links as well.
[1] https://arstechnica.com/science/2016/01/thorough-not-thoroug...
Bonus: Link to different datasets https://docs.google.com/spreadsheets/d/12-__RqTqQxuxHNOln3H5...
Nice graph on common claims (with link to data): https://www.bloomberg.com/graphics/2015-whats-warming-the-wo...