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The aptos-gf3-society skill enables the development of self-balancing decentralized systems on the Aptos blockchain by enforcing mathematical GF(3) conservation invariants. By categorizing members and operations into Generator (+1), Coordinator (0), and Validator (-1) roles, it ensures that every on-chain action maintains structural equilibrium where the sum of all assignments is congruent to zero. This skill is ideal for developers building complex DAO governance, PyUSD staking pools, or audited asset management systems that require formal verification and strict topological consistency.