Emission Schedule
The finite 365-day logarithmic ceiling for each Rewarder V3 market.
The active NVDA/USDG rewarder holds exactly 100 million 2DEEP: 50 million for each book side.
The curve is a distribution ceiling. Actual claims are lower when size or spread multipliers are below 100%; permanent market removal burns unearned funding and preserves only accrued claims.
Pool and side caps
| Program | Bid cap | Ask cap | Maximum total | Duration per side |
|---|---|---|---|---|
| NVDA/USDG | 50,000,000 2DEEP | 50,000,000 2DEEP | 100,000,000 2DEEP | 365 days |
Each side starts when its first nonzero top order is reported. The two activation times may differ. An empty book after activation does not pause or extend the schedule.
Equation
For one side:
M = 50,000,000 2DEEPis its cap;D = 365 daysis its duration;T = 30 daysis the curve's time constant; andtis elapsed time since side activation.
C(t) = M × ln(1 + min(max(t, 0), D) / T) / ln(1 + D / T)The interval ceiling is C(b) - C(a). Rewarder V3 then applies the time-varying quantity factor and spread multiplier.
Aggregate ceiling table
This table assumes both sides activate together. Values are millions of 2DEEP before quantity and spread scaling.
| Day | Maximum scheduled reward |
|---|---|
| 0 | 0.000000M |
| 1 | 1.272063M |
| 7 | 8.135992M |
| 15 | 15.729795M |
| 30 | 26.890263M |
| 60 | 42.620058M |
| 180 | 75.490512M |
| 365 | 100.000000M |
Why distribution can be lower
The final amount distributed is lower when no top order exists, top size is below its target, the spread multiplier is below 100%, or a best-effort hook call fails. Missed capacity does not roll forward after the 365-day deadline.
The rewarder records accrued liability separately from paid claims. On permanent market removal, the Factory burns the prefunded balance that has not been accrued and preserves the exact unpaid liability for later claims.