Watch a searcher sandwich your agent's swap on the live Aerodrome WETH/USDC pool on Base. Set trade size and slippage tolerance; the optimal front-run is solved on the real constant-product curve, capped by your tolerance. Route privately and the extraction goes to zero.
Story Protocol's two royalty policies, runnable: tap any IP asset in a derivative chain to pay 100 WIP into it and watch LAP give every ancestor its absolute cut until the stack hits 100% and mints revert, while LRP compounds hop by hop and dilutes the original to dust.
Interactive calculator: watch how deposit-borrow loops compound leverage toward the 1/(1−LTV) asymptote. Adjust LTV and loop count to see effective leverage, the liquidation trigger, and the loss from a single price move.
Bradley-Terry vs. majority voting over pairwise comparison rounds. Five nodes with hidden quality scores compete; a malicious node is down-ranked by BT while majority voting is captured. Reference: Fortytwo GPQA Diamond — BT 85.90%, majority 68.69%.
Semaphore's double-signal defense, explorable: send transactions to spend month-scoped nullifiers PBH-style, replay a spent proof to watch the gate revert with the real contract errors, and roll the month to see the external nullifier change reset the quota.
Forward passes through a small feed-forward network, animated: signals ripple layer to layer, weights set the glow, and activations heat the neurons they reach.
Two random vectors in high dimensions are almost always near-orthogonal. Slide dimension d from 3 to 8192 and watch a sphere of random directions collapse onto the equator — the geometry behind DiFR's random-projection activation fingerprints.
Interactive diagram of the five-step LLM IP protocol: embed a statistical fingerprint, commit it with Poseidon, register on-chain, prove ownership with a ZK proof, enforce via smart contract. Select an attack scenario to see which steps are vulnerable.
An interactive Merkle tree: click any leaf to watch its hash cascade hop by hop to the root, with the sibling hashes that form the inclusion proof highlighted along the way — four hashes prove one of sixteen leaves.
The KZG polynomial commitment scheme, stepped through. Pick an evaluation point z on the cubic P(x) = x³−2x²−x+2 to watch the opening proof π materialize, see the pairing check pass, then corrupt π to make it fail — and read why 50,000 gas ($0.067) is all Ethereum needs to verify any such claim.
Explore how Uniswap v4's 14-bit permission bitmap maps to pool lifecycle callbacks. Toggle bits or select preset patterns to see which hook functions fire for each operation.
A glowing marker performs literal gradient descent over a 3D loss landscape — analytic gradients, momentum, and a fading trail. Drag to orbit the terrain; click anywhere on it to drop a new starting point.