Programs and Mechanisms to Ensure Token Stability and Liquidity

Vesting: Vesting periods for team members and early investors with extended durations to ensure long-term commitment.

Progressive Staking System on the Platform: The staking system is built on a progressive model with thresholds and accelerated reward growth (bonding curve) to encourage users to lock tokens for extended periods.

The key features include:

• Threshold Points: Key lock-up durations (30, 90, 180, 365, 730, and 1095 days), with rewards increasing significantly upon reaching these milestones.

• Smooth Progressive Growth: An exponential acceleration formula between threshold points increases rewards gradually. The closer the user is to the next threshold, the higher the multiplier increment.

• Calculation Mechanism: Rewards are calculated daily based on the number of staked tokens and the current multiplier. The total reward depends on the lock-up duration and the chosen threshold.

Example of a Basic Threshold Grid:

Lock-up Period	Multiplier (M)	Description
30 days	1.5x	Small jump
90 days (quarter)	3x	Significant jump
180 days (half-year)	6x	Next significant milestone
365 days (year)	12x	Annual multiplier
730 days (2 years)	25x	Long-term staking
1095 days (3 years)	50x	Maximum staking multiplier

Note: A smooth bonding curve can be implemented between programs. For example, between 30 and 89 days, the multiplier grows gradually from 1.5x.

Formula for Multiplier Calculation: A formula can be applied to calculate the multiplier between thresholds, ensuring fairness and predictability in rewards.

$$M_d = M_\text{start} + (M_\text{end} - M_\text{start}) \cdot \frac{\exp(k \cdot t) - 1}{\exp(k) - 1}$$

Where: • M_d Multiplier for day d

• M_start, M_end: Multipliers for the start and end thresholds of the interval

• t = (d - d_start) / (d_end - d_start): Normalized day within the interval

• k: Sharpness coefficient, regulating the growth acceleration

This formula defines the staking multiplier growth curve, ensuring a smooth transition between key intervals while incorporating sharp jumps at threshold points.

Points Allocation for Staking

Assume the reward logic (airdrop) operates through a system of "points." The longer and larger the staking commitment, the more points a user accumulates. At the end of each year, the total pool of points across all users is calculated, and the airdrop is distributed proportionally based on these points.

Basic Formula for Daily Points

Suppose a user stakes S tokens for D days, selecting the corresponding curve with a maximum multiplier M. Daily points can be calculated as:

$$Daily Points=α×S×M d ​$$

Where:

• α — base constant

• S — number of staked tokens

• M_d — current multiplier (depending of the elapsed staking days and the bonding curve)

Additional Points and Badges

To increase engagement, we introduce bonus badges that also grant points (either as standalone rewards or as additional multipliers).

Examples include:

1. Badge "30-day Lock": If a user stakes tokens for at least 30+ days within a year, they earn +500 bonus points.

2. Badge "Long Staker": Users who stake for 180+ days receive additional +N+N+N bonus points or a multiplier boost during the final airdrop distribution.

3. Referral Badge: For each referral who also locks tokens for 30+ days, the user earns +300 points or an additional coefficient for the final airdrop calculation.

4. Purchases: Points are granted for specific amounts or numbers of purchases made on the platform.

5. Participation in Crowdinvesting: Points are awarded for one-time or active participation in crowdinvesting campaigns.

This system creates strong incentives for long-term token holding, improving liquidity and stability within the ecosystem. It operates through a proprietary smart contract.