Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Macroscopic Observables, Thermodynamic Completeness and the
  Differentiability of Entropy   We provide a quantum statistical basis for (a)a characterisation of a
complete set of thermodynamic variables and (b) the differentiability of the
entropy function of these variables

30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn