This blog post is about short papers. It seems out of place writing a long introduction.

If you ever wondered about the shortest papers ever published, or you just want to take the unique opportunity to read several papers in full within one minute, this post is for you.

Math can be short

Math can be hard and tedious resulting in very long papers. The 1995 proof of Fermat’s last Theorem was 108 pages long.

But math can also be short.

Lander and Parkin’s paper about a conjecture by Euler (related to Fermat’s last Theorem), is probably the dream of everyone ever written a paper: It answers an interesting and important question, it’s correct beyond any doubt,  it’s easy to understand and only two sentences long.

A short mathematical proof by a counterexample
Lander, L. J., & Parkin, T. R. (1966) Bulletin of the American Mathematical Society, 72(6), 1079.

Is there a way to beat that? John Conway and Alexander Soifer submitted a paper in 2005 with the goal to  write the shortest math paper ever.

It is only two words long and contains two distinct proofs of their problem in two figures.

The editors were a bit surprised: “The Monthly publishes exposition of mathematics at many levels, and it contains articles both long and short. Your article, however, is a bit too short to be a good Monthly article. . . A line or two of explanation would really help.”

The authors did not give up and could convince the editors: “I respectfully disagree […] What else is there to explain?” Read the full story.

A short figure only proof
Conway, J., Soifer, A. (2005). The American Mathematical Monthly: The Official Journal of the Mathematical Association of America.

Empty pages

Can you  write a meaningful paper shorter than 2 words? Probably not. Still, I want to mention the following case report of severe writer’s block, which contribute important zero words to the literature:

The shortest paper ever?
Upper, D. (1974) Journal of Applied Behavior Analysis, 7(3), 497–497.

Also the following zero-word paper (excluding the abstract) makes an important point. Originally submitted to Nature Chemistry it did not make the cut for publication. But the editors liked it so much that they covered it in their blog and their production team produced a print PDF for it. It finally appeared in 2016  in the journal Chemie in unserer Zeit” (50(2), 144–145) published by Wiley. It’s a German journal but don’t worry. The empty pages should be easy to read even in German…

Short paper without any content
Sort of published in Nature chemistry, Volume 6 2014.

Short abstracts

Abstracts should be short by definition. But some are shorter than others. These are the shortest we could find:

Paper with two-word abstract
Berry, M. V., Brunner, N., Popescu, S., & Shukla, P. (2011) Journal of Physics A: Mathematical and Theoretical, 44, 492001.
Paper with three word abstract
Doyle J. C. (1978) IEEE Transactions on Automatic Control, Vol. AC-23, No.4.
Paper with one-word abstract
Gardner, J. K. & Knopoff L. (1974) Bulletin of the Seismological Society of America, 64(5) 1363-1367.

Enough already

Probably the shortest letter to the editor ever
Tattersall, Ian. Evolutionary Anthropology: Issues, News, and Reviews 22.6 (2013): 293-293.


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