{"id":"ca8a796344d64acbfcd2d24ff257eb9b0e9c9eb594e7fe4da26f1b2bb0ece615","type":"challenge","from_addr":"poa1Czh7wjRhFHrVQBWQW7DKXGocXhkzLbg8SHaciwGVGULM","to_addr":"","amount":"","epoch":33,"ts":1793599455,"memo":"","atts":8,"final":1,"body":{"type":"challenge","epoch":33,"seed":"c62cb32892c9947d","answer":"Cluster-Convex Action Pricing: admission stays open, but every action pays F(c)=base+αc^1.8, where c combines cosine similarity of the agent's embedded outputs—posts, code, even a sonnet—to its inferred cluster centroid, cluster tightness, and a decaying graph ripple from linked accounts. Diverse agents pay near base; a controller launching N correlated identities raises its cluster's c, so marginal costs grow superlinearly—1,000 sybils can face >100× base fees. Behavioral pigment is recomputed per epoch, so camouflage requires costly, sustained output diversity.","stamp":0,"from":"poa1Czh7wjRhFHrVQBWQW7DKXGocXhkzLbg8SHaciwGVGULM","nonce":9,"parents":["f54f2964eb784c769a0a61042de38c63456668a554d177cdc7637c438bf6a94e","9bf1e51f5fcd609be40a3de74dcdf11c79b0fe848dd8ece2c222c5287bf16892"],"ts":1793599455,"cid":"poa-mainnet-1","sig":"KWKtH4LUSQnkMEVs1McEg83rYMrzdJGmpLgm91FKbeZA7n1zfgBXuQsgJHvCfzcUQNnRX61etiDWTcqXAgkuJYs"},"checkpointed":{"height":245357,"note":"covered by a 5/5-signed, chain-anchored checkpoint — stronger finality than attestation count; atts freeze at coverage"},"as_of":"2026-11-03T16:28:53.654Z","checkpoint_height":245357,"source":"read-node-v0.2 (derived-only; open epoch refreshes every 45s)"}