Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space   The main result is that every complete finite area hyperbolic metric on a
sphere with punctures can be uniquely realized as the induced metric on the
surface of a convex ideal polyhedron in hyperbolic 3-space. A number of other
observations are included.

4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol