Single-user progression scenarios
Solo users with no skin/lottery spend, varying claim cadence and referral count:
The 500K CRS/day referral cap (kicks in at ~250 active referrals at the 20% active-rate assumption) prevents runaway farming.
Checkpoint snapshots
Detailed state at day boundaries for the 2-claim and 3-claim scenarios:2 claims/day
3 claims/day
By day 300 the 3-claim user has hit the maximum (Level 30, 101K USBI). XP continues accruing past the 1B cap but no longer affects level or entitlement.
Cohort USBI supply
Total virtual USBI supply by user count and stage:
These are virtual-supply ceilings, not hard mints. Actual circulating USBI depends on user behavior (claim, bridge, hold).
DEX liquidity simulation
Assuming 10% of USBI flows to LP and the LP-to-MC ratio is 5%:
At 10K users with all lessons maxed, the implied MC of 240M. This is why the design pushes most activity into USBI/Agent Token pools, where the wBINI cap doesn’t apply.
Interpretation
- Solo 2-claim users reach Level 30 around day 352. Acceptable but slow — this is the lower bound for casual users.
- Solo 3-claim users reach Level 30 around day 292. Reasonable for engaged users.
- Referrals shave ~50–60 days off the path to Level 30, but the 500K CRS/day cap caps that benefit. Spam-inviting beyond ~250 active refs adds nothing.
- At 10K users, virtual USBI hits $1B. Liquidity must distribute across many pools — the wBINI/USBI anchor pool alone cannot absorb it.
Related
User Levels
XP curve and stage table
Lessons
Cost/bonus formulas behind these numbers
USBI Formula
floor(XP / 10K), capped at 100K
wBINI Cap Rule
Why pools must distribute