Time Dilation in Mathematical Citations

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Abstract

Mathematicians have a distinctive relationship with time: a lemma can be "classical" at age 17, "recent" at age 12, and "well-known" at age 3 (if you are not in the right seminar). This note offers a small, playful but reproducible pilot comparison of citation age - the gap between a paper's publication year and the publication year of the works it cites-between mathematics and biomedicine/genetics. Using two flagship venues as anchors, we obtain two samples of 50 citation ages each (raw data included), compute basic summaries, and visualize the resulting time dilation. The punchline is unsurprising yet oddly comforting: mathematics cites with a longer tail, as if the literature were a wine cellar, while biomedicine cites with a shorter half-life, as if the literature were a software stack. Along the way we build a whimsical translation dictionary for the word "recent," with citations.

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