Yumo Yumo
Technical Paper

User-reward emission

4.3 How rewards flow into bINT

The user-reward pool is governed by the allocation table in 4.17. Inside that pool, daily emission is metered by a curve that takes monthly active usage as its primary input. The curve has three properties worth naming:

  • Stepwise growth toward a peak. As MAU grows through defined bands, the daily emission pool expands in steps rather than continuously. This avoids cliff effects when activity oscillates near a threshold.
  • Bounded peak. The daily pool grows stepwise to a peak band, then holds. After peak, additional MAU raises per-user contribution density. The band values are calibrated in production and not published.
  • Long horizon. The user-reward rail is sized to last a 15-year horizon. The reward share of supply (64.35 billion INT, see 4.17) is the budget; the curve is the meter.

The stepwise function — the MAU bands, the daily-pool values per band, and the transition behaviour — is documented in 4.19. Band boundaries are re-tuned as observed activity evolves.

4.4 The bINT → INT conversion lifecycle

bINT is written to the off-chain movement ledger when an eligible receipt clears the trust layer (03). It remains locked until a periodic epoch settles it rather than using a per-user on-chain conversion call. The lifecycle:

accrue  →  settle (epoch)  →  claim  →  INT in user wallet
  • Accrue. Per receipt, in the off-chain accounting layer. For a verified payment proof, the payment component is the sourced hidden-cost percentage multiplied by the explicitly supplied circulation coefficient. The calculator does not infer a coefficient or derive a circulation curve when the value is missing. A receipt with at least one specific, machine-extracted product line can also receive the fixed 100 bINT product contribution. Honor is applied after the two components, and the purchase-group and daily ceilings are applied before crediting locked bINT. The receipt total and an FX conversion are not inputs to this bINT formula.
  • Settle. Epoch 8 may complete through the historical cPoints path. Epoch 9 and later select only post-cutover bINT v2 movements in locked state, reserve each movement once, and convert eligible bINT to INT at a flat 1:1 ratio (4.24). The epoch builder and independent verifier check the ledger, source bucket, eligibility window, reservation set, and root before a release can fund a distributor.
  • Claim. After the relevant distributor release, the claimant verifies the proof and signs the claim from their own wallet. The claimant pays the Solana transaction fee from their own SOL balance; a wallet with zero SOL cannot claim. Treasury holds the INT until the user submits the wallet-signed claim.

The bINT v2 ledger preserves granted locked bINT after it is written. Source budgets, purchase-group quotas, and user caps are enforced when the economic event is written.

4.5 Daily ceiling, in tokenomics terms

Level sets the personal purchase-group quota (2 groups at L1–9, 3 at L10–50) and does not increase the per-group amount. Honor/health multiplies the per-receipt reward rate within the 750 personal and 1,000 combined bINT caps. The explicitly supplied circulation coefficient controls the payment component; it is separate from the fixed 1:1 bINT → INT settlement ratio.

This decomposition matters because it lets the protocol re-tune either factor while preserving tokenomics. A market expansion or level-system rebalance can shift the ceiling tables; an abuse wave compresses the health distribution and, with it, the effective reward rate.