Kuroshio

One pool for every stablecoin. Depth that stays together.

Kuroshio prices kUSDC, kUSDT, kDAI, and kFRAX from one reserve vector. The same swap form you already know — pay, amount, receive — draws on the whole book instead of one shallow pair.

Solana devnet. Connect a wallet, then use the same swap, book, and band screens.

Six shallow pairs

Split
Pair
kUSDC / kFRAX
Also live
kUSDC / kUSDT
This trade sees
Only that pool
A depeg
Drains the pair

Four stablecoins need six markets. Depth in one pair never reaches the others.

One Kuroshio book

Shared
Pay
kUSDC
Receive
kFRAX
This trade sees
The whole book
Reserves
One vector

Quoted on Solana. The band you picked stops when its depeg bound is crossed.

The split

Breadth and depth, in one book.

A pair AMM makes you choose. Kuroshio keeps the basket together and concentrates capital where a dollar actually trades.

On a swapA pair of poolsKuroshio
Assets in the book24, one vector
kUSDC to kFRAXOnly that pair’s depthThe shared reserves
Where capital sitsWhatever range that pair usesEight bands around $1
When one coin breaksThe pair keeps quotingThat band stops
FeeSet per pool1 bp

The book

One surface prices every pair.

Kuroshio is an automated market maker. Four stablecoins share one reserve vector. A swap of any pair moves that same vector, so one pool does the work of six.

  1. The sphere

    Σ (r − xi)2 = r2

    r is the radius. xi is the reserve of coin i. Every quote stays on this surface.

  2. The price

    pi→j = (r − xj) / (r − xi)

    How much of coin i buys one coin j. The larger reserve is the cheaper coin.

  3. Equal reserves

    xi = r (1 − 1/√n)

    With four coins, √4 = 2, so each reserve is r / 2. The seed starts there.

  4. The fee

    fee = amount / 10,000

    One basis point, taken on the way in. It stays in the vault and does not re-enter the price.

  5. The depeg check

    min(r − x) / max(r − x) × 10,000

    The cheapest coin, in basis points of $1. A band freezes when this price falls through its floor.

  6. After a band freezes

    r′ = r × new sum / old sum

    Frozen reserves leave the quote and the radius scales down. One swap may freeze at most three bands.

The seed is split across eight floors: 40% above $0.9995, then 27%, 15%, 8%, 4%, 3%, 2%, and 1% across the full range. Tight bands do the trading near a dollar. A broken coin stops those bands and leaves the wider ones in place. Rounding favors the pool.

How a trade moves

Four steps, one form.

The app still asks for pay, amount, and receive. What changes is the book behind that form.

  1. 01

    One reserve vector

    Four stablecoins sit in a single book. A kUSDC to kUSDT swap and a kDAI to kFRAX swap move the same reserves.

    6 pairs · 1 book
  2. 02

    Pick a depeg band

    Liquidity is nested around $1. A tighter band earns more while the peg holds. A wider band stays through a larger move.

    from $0.9995 to full range
  3. 03

    Swap any pair

    Pay, amount, and receive are the whole trade. Both sides quote the shared book, so depth is not trapped in one pair.

    exact in and exact out
  4. 04

    The band fences the loss

    Cross a band’s depeg bound and that band stops quoting. A broken coin does not drain the liquidity that stayed inside a tighter band.

    1 bp, rounded for the pool

Deployed

Live on Solana devnet.

Switch the wallet to devnet before you sign. These are the book mints and the deployer that seeded them.

Bands

Capital packed around a dollar.

The next swap does not have to pick a shallow pair.

Open the same form. Pay one stablecoin, receive another, and both sides use one book.