Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Magnetic Scott Correction for Relativistic Matter at Criticality   We provide a proof of the first correction to the leading asymptotics of the
minimal energy of pseudo-relativistic molecules in the presence of magnetic
fields, the so-called "relativistic Scott correction", when $\max{Z_k\alpha}
\leq 2/\pi$, where $Z_k$ is the charge of the $k$-th nucleus and $\alpha$ is
the fine structure constant. Our theorem extends a previous result by
Erd\H{o}s, Fournais, and Solovej to the critical constant $2/\pi$ in the
relativistic Hardy inequality $|p| - \frac{2}{\pi |x|} \geq 0$.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an