TOKENOMICS

Feigenbaum
Emission Model

Smooth epoch-based emission with exponential decay. No halvings, no cliffs. Epoch length derived from the Feigenbaum constant α. All arithmetic is integer-only, consensus-safe, and deterministic across all implementations.

CONSENSUS | 4,669,201 SOST hard cap · ~9.03% annual decay · 30-year ~95% emission
EMISSION SCHEDULE

Smooth Exponential Decay

subsidy(height)
CONSENSUS-CRITICAL

Epoch-constant subsidy with smooth exponential decay. The decay factor q = exp(−1/4) ≈ 0.7788 is implemented as fixed-point with explicit floor division. O(log epoch) via exponentiation-by-squaring. Zero floating-point — any float operation would be a consensus failure.

// Consensus rule (integer-only) epoch = height // 131,553 reward = floor( R0 × qepoch ) // Fixed-point exponentiation by squaring Q_NUM = 7,788,007,830,714,049 Q_DEN = 10,000,000,000,000,000 _qpow_floor(base, exp): result = Q_DEN x = base while exp > 0: if exp & 1: result = (result × x) // Q_DEN x = (x × x) // Q_DEN exp >>= 1 return result subsidy = (R0 × _qpow_floor(Q_NUM, epoch)) // Q_DEN
TARGET_SPACING600 seconds // 10-minute blocks
BLOCKS_PER_YEAR52,560
BLOCKS_PER_EPOCH131,553 // round(52,560 × α)
Feigenbaum α2.502907875095892 years/epoch
Decay factor qexp(−1/4) ≈ 0.7788 // ~9.03% annual decay
R0_STOCKS785,100,863 // 7.85100863 SOST initial reward
SUPPLY_MAX_STOCKS466,920,160,910,299 // ≈ 4,669,201 SOST
~95% emission~12 epochs // ≈ 30 years
Timeline Flexibility Notice: The Foundation reserves the right to accelerate or delay any committed timeline if it determines that the protocol can be implemented with maximum guarantees of technical reliability and security, or if additional development time is required to meet those standards.
COINBASE SPLIT

Block Reward Distribution

50% + remainder
Miner
reward - gold - popc
25%
Gold Vault
q = reward // 4
25%
PoPC Pool
q = reward // 4
Conservation Invariant
CONSTITUTIONAL C2
q = reward // 4 gold = q popc = q miner = reward - gold - popc // Invariant (always holds): miner + gold + popc == reward // exact integer conservation // Example at height 0: reward = 785,100,863 gold = 196,275,215 popc = 196,275,215 miner = 392,550,433 sum = 785,100,863 ✓
PROJECTIONS

Supply Breakdown

30-Year Total Distribution
BY CONSTRUCTION
Miners (50%)2,334,600 SOST
Gold Vault (25%)1,167,300 SOST
PoPC Pool (25%)1,167,300 SOST
Maximum supply4,669,201 SOST (hard cap)
Premine0 SOST — zero
ICO / VCsNone
Epoch 0 per vault258,210 SOST // years 0–2.5
Year 1 per vault103,160 SOST
Year 5 per vault~75,000 SOST
Year 10 per vault~52,000 SOST
COMPARISON

SOST vs Bitcoin

Emission Model Comparison
REFERENCE
Max supplyBTC: 21,000,000 · SOST: 4,669,201
Initial rewardBTC: 50/block · SOST: 7.851/block
Decay methodBTC: halving every 210k blocks · SOST: smooth 9.03% annual
Decay eventsBTC: cliff (50% overnight) · SOST: continuous (no cliffs)
Mining allocationBTC: 100% miner · SOST: 50% miner, 25% gold, 25% PoPC
Smallest unitBTC: 1 satoshi (10⁻⁸) · SOST: 1 stock (10⁻⁸)
~95% emissionBTC: ~2036 (year 28) · SOST: ~2056 (year 30)
CAP ENFORCEMENT

Hard Cap by Construction

Mathematical Guarantee
CONSENSUS-CRITICAL

Hard cap: 4,669,201 SOST enforced at consensus level. Subsidy drops to zero when cap is reached; miners earn fees only. SOST enforces maximum supply by construction, not by tracking cumulative supply. Since floor(x) ≤ x, the geometric series of epoch emissions is upper-bounded. No other minting path exists. Any block that mints more than subsidy(height) is invalid. Any shortfall due to flooring remains permanently unissued.

TotalIssued ≤ B × Σe≥0( R0 × qe ) = B × R0 / (1 - q) ≤ SUPPLY_MAX_STOCKS // Because R0 was chosen as: R0 = floor( SUPPLY_MAX_STOCKS × (1 - q) / B )