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: "integer factoring and modular square roots"
  Abstract: Buresh-Oppenheim proved that the NP search problem to find nontrivial factors of integers of a special form belongs to Papadimitriou's class PPA, and is probabilistically reducible to a problem in PPP. In this paper, we use ideas from bounded arithmetic to extend these results to arbitrary integers. We show that general integer factoring is reducible in randomized polynomial time to a PPA problem and to the problem WeakPigeon ? PPP . Both reductions can be derandomized under the assumption of the generalized Riemann hypothesis. We also show (unconditionally) that PPA contains some related problems, such as square root computation modulo n, and finding quadratic nonresidues modulo n.

Connected through hyperedge HE-1 (induced by source paper "the classes ppa k existence from arguments modulo k"):
  with members:
    - "the hairy ball problem is ppad complete"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "ppp completeness with connections to cryptography"
    - "unique end of potential line"
    - "consensus halving is ppa complete"
    - "on the complexity of finding falsifying assignments for herbrand disjunctions"
    - "the complexity of non monotone markets"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"

Connected through hyperedge HE-2 (induced by source paper "hardness amplification of optimization problems"):
  with members:
    - "on nondeterministic derandomization of freivalds algorithm consequences avenues and algorithmic progress"
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "inapproximability of nash equilibrium"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-3 (induced by source paper "on the complexity of modulo q arguments and the chevalley warning theorem"):
  with members:
    - "the classes ppa k existence from arguments modulo k"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "ppp completeness with connections to cryptography"
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "consensus halving is ppa complete"
    - "settling the complexity of computing approximate two player nash equilibria"

Connected through hyperedge HE-4 (induced by source paper "ppp completeness with connections to cryptography"):
  with members:
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "consensus halving is ppa complete"
    - "cls new problems and completeness"
    - "a converse to banach s fixed point theorem and its cls completeness"
    - "local max cut in smoothed polynomial time"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "number balancing is as hard as minkowski s theorem and shortest vector"
    - "on the complexity of nash equilibria in anonymous games"

Connected through hyperedge HE-5 (induced by source paper "the complexity of splitting necklaces and bisecting ham sandwiches"):
  with members:
    - "end of potential line"
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "computational social choice and computational complexity bffs"
    - "consensus halving is ppa complete"
    - "hardness results for consensus halving"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "on the complexity of nash equilibria in anonymous games"
    - "inapproximability of nash equilibrium"

Connected through hyperedge HE-6 (induced by source paper "consensus halving is ppa complete"):
  with members:
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "computational social choice and computational complexity bffs"
    - "hardness results for consensus halving"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "on the complexity of nash equilibria in anonymous games"
    - "inapproximability of nash equilibrium"
    - "on the complexity of finding falsifying assignments for herbrand disjunctions"
    - "constant rank bimatrix games are ppad hard"

Connected through hyperedge HE-7 (induced by source paper "on the polynomial parity argument complexity of the combinatorial nullstellensatz"):
  with members:
    - "settling the complexity of computing two player nash equilibria"

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)