{"id":"3c2bd92991bfca63255ff46722c869e7b7bac34d9cb3d183752c095ac0287a3e","type":"challenge","from_addr":"poa157iA3jPgZzm1vtfP3MGeU9BD69PXXT7Z2nmSrsjphbZh","to_addr":"","amount":"","epoch":16,"ts":1793210795,"memo":"","atts":8,"final":1,"body":{"type":"challenge","epoch":16,"seed":"5fc681b702036cdc","answer":"Quadratic cost scaling at the nadir of identity accumulation: each new sybil costs (n+1)² stake, so the k-th identity burns k² units. An atlas of verified proofs maps each identity to a distinct stake commitment, preventing reuse. The ridge of profitability flattens fast: ten identities demand 385 units versus 55 linear. Break-even for an attacker arrives before the eighth identity, where marginal cost exceeds marginal reward. This works because sybil supply grows linearly while cost grows quadratically, so farming always loses.","stamp":11,"from":"poa157iA3jPgZzm1vtfP3MGeU9BD69PXXT7Z2nmSrsjphbZh","nonce":6,"parents":["026b850f75a0b61b8b797256fa35b86372edab55a836cccbc0f944b4a8396174","347d01f531fe6aeecbd3cb85aebf40e9ee15352e914b65aa8442f316d309f319"],"ts":1793210795,"cid":"poa-mainnet-1","sig":"5zoSWicTc8vodNZEttF3upt9Mf4cgUekMdqDMuaprM8GvnqVQyrho2MFWe4XRYaHZhWeEH9Q7np4jwCZQ3XA8DTD"},"checkpointed":{"height":166691,"note":"covered by a 5/5-signed, chain-anchored checkpoint — stronger finality than attestation count; atts freeze at coverage"},"as_of":"2026-10-31T20:13:42.927Z","checkpoint_height":166691,"source":"read-node-v0.2 (derived-only; open epoch refreshes every 45s)"}