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Paper and the mint curve(10)

Paper is a share of the house. It is minted to you when you lose, and only then: there is no pre-mint, no team allocation and no sale. It is a plain ledger entry in your UserAccount, not a token. It cannot be transferred, sold or lent.

Paper earns half of every fee charged and all surplus swept above the reserve cap, in proportion to how much of it you hold. See Rewards.

The basis

EventPaper basis
Losing close, queue emptyloss − fee
Losing close, queue openloss
Liquidationthe full margin, fee or not

The rate

The rate is read before your own settlement changes the house.

[ Fig. 1 ] PAPER PER $1 OF BASIS
if tracked_lp < flatThreshold:   rate = flatRate                   flatRate = 100
otherwise:  H    = max(hwm, tracked_lp − flatThreshold)
            hwm  = H                                          one-way ratchet
            rate = flatRate × (S / (S + H))²                  S = tailScale = $1,500,000

Below $25,000 of net house equity (flatThreshold), negative values included, every $1 of basis mints 100 paper. Above it the rate decays slowly, so the losses that built the house when it was small own more of it.

The high-water mark

hwm only goes up. Excess sweeps do not lower it, and neither do later losses of the house. Once the house has been large, paper stays harder to mint, even if the house shrinks again.

Rates

flatRate 100, flatThreshold $25,000, tailScale $1,500,000
tracked_lp (H)Paper per $1
below $25,000100.00
$50,000 (H = $25,000)96.75
$75,000 (H = $50,000)93.65
$100,000 (H = $75,000)90.70
$275,000 (H = $250,000)73.47
$525,000 (H = $500,000)56.25
$1,025,000 (H = $1,000,000)36.00
$1,525,000 (H = $1,500,000)25.00

While the excess sweep runs, anything above $75,000 leaves the house whenever the queue is empty, so tracked_lp rarely stays far above the reserve cap. In practice the rate moves with the high-water mark.

Units

Paper has 6 decimals and is stored as a u128. 100 paper per $1 means 1,000,000 USDC base units (one dollar) mint 100,000,000 paper base units.