human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "algebraic independence in positive characteristic a p adic calculus"
  Abstract: A set of multivariate polynomials, over a field of zero or large characteristic, can be tested for algebraic independence by the well-known Jacobian criterion. For fields of other characteristic p>0, there is no analogous characterization known. In this paper we give the first such criterion. Essentially, it boils down to a non-degeneracy condition on a lift of the Jacobian polynomial over (an unramified extension of) the ring of p-adic integers. #R##N#Our proof builds on the de Rham-Witt complex, which was invented by Illusie (1979) for crystalline cohomology computations, and we deduce a natural generalization of the Jacobian. This new avatar we call the Witt-Jacobian. In essence, we show how to faithfully differentiate polynomials over F_p (i.e. somehow avoid dx^p/dx=0) and thus capture algebraic independence. #R##N#We apply the new criterion to put the problem of testing algebraic independence in the complexity class NP^#P (previously best was PSPACE). Also, we give a modest application to the problem of identity testing in algebraic complexity theory.

Connected through hyperedge HE-1 (induced by source paper "algebraic dependencies and pspace algorithms in approximative complexity"):
  with members:
    - "a pspace construction of a hitting set for the closure of small algebraic circuits"

Connected through hyperedge HE-2 (induced by source paper "progress on polynomial identity testing ii"):
  with members:
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "hitting sets for low distance multilinear depth 3"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"

Connected through hyperedge HE-3 (induced by source paper "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"):
  with members:
    - "the limited power of powering polynomial identity testing and a depth four lower bound for the permanent"
    - "algebraic independence and blackbox identity testing"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"
    - "from sylvester gallai configurations to rank bounds improved black box identity test for depth 3 circuits"
    - "deterministic polynomial time algorithms for matrix completion problems"
    - "an almost optimal rank bound for depth 3 identities"

Connected through hyperedge HE-4 (induced by source paper "monomials in arithmetic circuits complete problems in the counting hierarchy"):
  with members:
    - "the complexity of testing monomials in multivariate polynomials"
    - "approximating multilinear monomial coefficients and maximum multilinear monomials in multivariate polynomials"
    - "interpolation in valiant s theory"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.CC(Computational Complexity)