The first item indexed in MathSciNet was “The 7-15 Problem” by T. Venkatarayudu. The article was originally published in 1939 in the Proceedings of the National Academy of Sciences, India.
Since this first article, MathSciNet and Mathematical Reviews has curated millions of items.
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ALT MathSciNet review page showing MR0000001, including citation and reviewer details.
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ALT MathSciNet citation search interface showing filters, citation format dropdown, and user list management options.
「"Remarks on a constructive sheaf model of nonstandard analysis"という文献があるとされているのだけど、MathSciNetでもzbMATHでもGoogle scholarでもまともな情報が出てこないのでよくわからないなあ」と思い続けて数年経ってる
正直MathSciNetにない時点で出版物かすら怪しくないかと感じる
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ALT Laptop displaying a MathSciNet author profile on a wooden desk beside a potted plant, contrasted with an old CRT monitor showing the original MathSciNet interface.
Yes and if you download the bib reference (as you should) from a reputable database (say MathSciNet) the risk of adding a hallucinated reference is 0. Not zero percent but zero.