Emission Schedule

The NVDA/USDG rewarder holds a fixed 1 billion DEEP allocation: 500 million for the bid side and 500 million for the ask side. This is an upper bound on rewards distributed by the launch program.

Pool and side caps

Each side has a separate activation timestamp and consumes only its own allocation. A quiet bid side cannot donate unused tokens to the ask side.

Equation

For one side, let:

• M = 500,000,000 DEEP be that side's immutable cap;
• D = 395 days be its duration;
• t be seconds since that side's first top order; and
• T = 30 days be the curve's time constant.

Its cumulative maximum is:

C(t) = M × ln(1 + min(max(t, 0), D) / T) / ln(1 + D / T)

The maximum available between elapsed times a and b is:

intervalCeiling = C(b) - C(a)

The logarithm makes the schedule front-loaded without a discontinuity at day 30. C(0) = 0, C(D) = M, and the function is flat after the deadline.

Aggregate ceiling table

This table assumes the NVDA/USDG bid and ask sides activate together. Values are millions of DEEP and are shown before quantity scaling.

Real calendar totals differ when the two sides activate at different times.

Why distribution is lower

The schedule does not transfer DEEP on a timer. A side falls below its mathematical ceiling when:

• no top order exists during part of its active window;
• the top order is below its full-reward quantity;
• a best-effort hook transition is missed; or
• rewards expire unearned.

The rewarder tracks accrued and distributed amounts against each side's cap. Claim timing cannot reset or extend the schedule.

Supply and custody

The full 1 billion DEEP allocation is minted once during deployment and transferred to the rewarder. The temporary deployer mint role is revoked immediately, and the rewarder never receives MINTER_ROLE.

The 1 billion figure is the launch reward allocation, not a hard cap in DeepstateToken. Governance remains the token role administrator and could authorize a separate future minter through a proposal. That would be a new supply decision outside this reward program.