Stable like
gravity.
A dollar, backed not by trust or governance, but by the arithmetic of the collateral itself.
cUSD is backed by a pool of two Canton-native tokens whose USD prices move inversely to each other.
1/p² CC per iCC. Non-redeemable for CC. Its only utility is paying Canton network fees — gas burn keeps its price anchored to 1/p.
Holding equal units of each produces USD portfolio value p + 1/p — a perpetual straddle with minimum $2 at peg, convex upward in either direction. cUSD borrows the same convexity for its reserve.
One equation governs the collateral. It is the reason cUSD cannot lose its floor.
For a deposit of D dollars of symmetric pair at oracle price p0, reserve value touches its minimum D exactly at p = p0, and strictly exceeds it everywhere else.
minimum = D · convex · always ≥ 100% collateralized
Given $10 of symmetric pair deposited at peg (5 CC + 5 iCC), backing $10 of cUSD:
cUSD is structurally immune to the failure modes that have broken every decentralized stablecoin before it.
Deposit is symmetric. The reserve is straddle-shaped.
- User brings $D of symmetric pair — D⁄(2p0) CC plus D·p0⁄2 iCC at the current oracle price.
- The contract accepts the pair into its aggregate reserve. No burning, no minting.
- D cUSD is issued to the depositor.
- The reserve's USD value satisfies V(p) ≥ D at every future CC price, with equality only at p0.
- Redemption takes a 1/V slice of the aggregate pool — returning exactly $1 of value at the current price. Never more.
cc_in = D / (2·p₀)
icc_in = D · p₀ / 2
cusd_out = D
// pool state at price p
V = A·p + B/p
// guarantee: always over-collateralized
V ≥ D ∀ p > 0
// redemption: 1/V slice of the pool
burn 1 cUSD → A/V CC + B/V iCC
// value = $1 exactly
A dollar, returned.
Burn 1 cUSD against the contract. Receive exactly $1 of symmetric iCC and CC at the current oracle price. Never more. The convexity of the reserve belongs to the contract.
The most stable stablecoin under every historical failure mode — with a single novel failure mode correlated with Canton's own liveness.
You cannot do better than this without trusting something outside the chain.