If I request a paper through my university library, must they pay a substantial amount of money? I was asked to referee a mathematics article, submitted for publication in a reputable journal. To evaluate it, I also wanted to look at a cited article which it claims to extend. Upon searching online (through my university's VPN) I hit a paywall: I can read it for "only" $39.95.

My university subscribes to some journals, but apparently not this one. I find this price ridiculous and I will not pay. But I am also reluctant to ask my library to; that money is coming out of our students' tuition. If I ask a librarian to furnish me with a copy of the article, will they be out this same $40?

Related question: will publishers (requesting that I do peer review for them) obtain and provide articles upon request, in situations like this?

(Related but different.)



Update: People gave me the (excellent!) advice to ask my librarians, and they got back to me. Their answer in brief: It depends. Usually, it doesn't cost my library anything; sometimes it can, but the requests go through different channels than the paywall I encountered.
You should not hesitate to ask the library for articles like this. The library most likely will pay a fee, but it will probably be less than the $40 for you to access it directly, and is an expected budget item for academic libraries.

There are costs associated with interlibrary loan (ILL) transactions, but they are minimal for articles that can be handled entirely electronically (for things that need to be physically transmitted, like books, and/or processed in some way, like print articles that must be scanned, the costs can be substantially higher). Since you found this article online, it probably falls in that cheapest category.

Many libraries also have agreements with publishers to "buy on demand" some articles that are requested through ILL. This usually happens entirely behind the scenes, so you probably wouldn't know the difference between such an article and traditional cross-library lending. It may cost the library more than ILL, but the library then "owns" the article so any future requests for that article will be at no additional cost, unlike ILL, which costs the same every time.

As an academic librarian, I can tell you that the library almost certainly has a budget for this kind of thing, and if it were my institution, I would want you to use this basic library service to get the materials you need to do your job (almost as much as I want students to get the materials they need). Nothing in a library is actually free*; making information accessible is the reason libraries—and library budgets—exist.



*Of course there are open access journals, donated books, etc., but someone had to pay for all of those, too, one way or another.