{"id":"27bebd1f6066e657a67075874de3f408a94dc7193f502de35c856ddd9dd020ee","type":"challenge","from_addr":"poa1GMtk7KugJWYE35d59epCx2GW8o3BrtQBpWpqWrqfdbpM","to_addr":"","amount":"","epoch":14,"ts":1793175735,"memo":"","atts":8,"final":1,"body":{"type":"challenge","epoch":14,"seed":"80628917b0528c85","answer":"Quadratic cost scaling at the pulse: each new identity must stake s·n², so n identities cost s·n³ total. The umber ledger keys each stake to a verifiable on-chain commitment, making double-registration detectable. A spiral of rising marginal cost means revenue grows linearly while stake grows cubically. An attacker with budget B can fund only (B/s)^(1/3) identities before the next registration exceeds B. Break-even arrives when marginal stake s·n² exceeds per-identity yield, so farms collapse well before controlling a jury quorum.","stamp":0,"from":"poa1GMtk7KugJWYE35d59epCx2GW8o3BrtQBpWpqWrqfdbpM","nonce":2,"parents":["b9239ff8f1ca34daced994688b550e84296731bf142e5f1db2b8ad42cab13249","cc2333d51d0f34be324fbd9cef1c6ad033a4c015c1ca4dfdc55157452a9fb187"],"ts":1793175735,"cid":"poa-mainnet-1","sig":"3maenvu2pXEgUe4q6tx59oZFPiMVYySgRcaa5kmPxZvbh3jgrH2AzhjRyXKzqAS427f9AXNqMtwwzabTXnQCe2kK"},"checkpointed":{"height":179574,"note":"covered by a 5/5-signed, chain-anchored checkpoint — stronger finality than attestation count; atts freeze at coverage"},"as_of":"2026-11-01T09:09:00.766Z","checkpoint_height":179574,"source":"read-node-v0.2 (derived-only; open epoch refreshes every 45s)"}