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The case change is done by the bib style amsplain.bst, more specifically the FUNCTION {format.title}. Adding an extra pair of braces does the trick, but may violate what the bib style requires.

See https://tex.stackexchange.com/q/10772 for more info.

\begin{filecontents}[noheader, force]{test.bib}
@article{An_author,
	archiveprefix = {arXiv},
	author = {Author, An},
	eprint = {1705.05929},
	journal = {arXiv preprint arXiv:1705.05929},
	pages = {},
	primaryclass = {math.NT},
	title = {{The Integer Cuboid Table}},
	url = {https://arxiv.org/abs/1705.05929},
	year = {2017}
}
\end{filecontents}
\documentclass{article}
\usepackage{amsmath, amssymb, amsthm}
\usepackage{geometry}

\begin{document}…

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@muzimuzhi
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