SOST Protocol — Tokenomics

SECTION 01

Supply Overview

Maximum Supply

4,669,201

SOST (hard cap by construction)

Initial Block Reward

7.851

SOST per block

Block Time

600s

10 minutes target

Epoch Length

131,553

blocks (~2.503 years)

Smallest Unit

1 stock

10&sup-;&sup8; SOST

95% Mined

~30 yrs

~12 epochs

No premine, no ICO, no VC allocation. The only way to create SOST is to mine a valid block via ConvergenceX proof-of-work. Any block that mints more than the subsidy for its height is invalid. Shortfall due to integer flooring remains permanently unissued.

SECTION 02

Coinbase Split

Every block reward is split by consensus into exactly three outputs. Hardcoded at genesis. Immutable forever. Any deviation makes the block invalid.

MINER 50%

GOLD VAULT 25%

PoPC POOL 25%

Constitutional Rule

CONSENSUS-CRITICAL

// Coinbase split — immutable at genesis
q     = reward // 4
gold  = q                    // 25% to Metals Funding Vault
popc  = q                    // 25% to PoPC Pool
miner = reward - gold - popc // 50% + remainder to miner

// Invariant: miner + gold + popc == reward
// Exactly 3 outputs in canonical order: miner, gold, popc

Output	Recipient	Allocation
Output 0	Miner's configured address	50% + remainder
Output 1	Metals Funding Vault (Gold-first)	25% (q = reward // 4)
Output 2	PoPC Pool	25% (q = reward // 4)

MINER

50% + Remainder

Direct reward for ConvergenceX proof-of-work. The miner receives the full remainder after integer division, ensuring no stocks are lost.

GOLD VAULT

25% Gold Reserve

Accumulates SOST, periodically converted to XAUT/PAXG via auditable execution. Deposited into Heritage Reserve Vault on Ethereum mainnet. Sealed by default.

PoPC POOL

25% Custody Rewards

Funds Proof of Personal Custody rewards. Participants who prove gold custody earn from this pool. Slashed bonds are recycled back into it.

SECTION 03

Feigenbaum Emission

Smooth exponential decay with no cliff events. The decay factor q = e^-1/4 produces a 9.03% annual reduction in block reward, implemented as integer-only fixed-point arithmetic for consensus determinism.

Emission Constants

CONSENSUS-CRITICAL

Constant	Value	Description
R0_STOCKS	785,100,863	Initial reward (7.85100863 SOST)
Q_NUM	7,788,007,830,714,049	Decay numerator
Q_DEN	10,000,000,000,000,000	Decay denominator (10¹⁶)
BLOCKS_PER_EPOCH	131,553	Feigenbaum α reference
TARGET_SPACING	600 seconds	10-minute block target
SUPPLY_MAX	~4,669,201 SOST	Feigenbaum δ × 10⁶

Fixed-Point Subsidy Calculation

INTEGER-ONLY

No floating-point arithmetic. Bit-identical results on any hardware, any language, any platform.

subsidy(height):
    epoch = height // 131,553
    qpow  = _qpow_floor(Q_NUM, epoch)
    return (R0 * qpow) // Q_DEN

_qpow_floor(base, exp):
    result = Q_DEN
    x = base
    while exp > 0:
        if exp & 1: result = _qmul_floor(result, x)
        x = _qmul_floor(x, x)
        exp >>= 1
    return result

_qmul_floor(a, b):
    return (a * b) // Q_DEN

SECTION 04

Supply Projections

Total Supply Breakdown

HARD CAP

Recipient	Total SOST	Share
Miners	2,334,600	50%
Gold Vault	1,167,300	25%
PoPC Pool	1,167,300	25%
Maximum	4,669,201	100%

Vault Accumulation

PER VAULT (25%)

Period	SOST per Vault	Note
Year 1	103,160 SOST	Annual intake
Epoch 0 (years 0-2.5)	258,210 SOST	First epoch total
30 years (~12 epochs)	1,167,300 SOST	~95% of lifetime allocation

SECTION 05

SOST vs Bitcoin

SOST follows Bitcoin's fundamental commitment to fixed supply and proof-of-work, while choosing smooth exponential decay over discrete halvings.

Emission Comparison

RESPECTFUL

Property	Bitcoin	SOST
Max supply	21,000,000 BTC	4,669,201 SOST
Initial reward	50 BTC/block	7.851 SOST/block
Decay method	Halving every 210,000 blocks	Smooth 9.03% annual decay
Decay events	Discrete cliff (50% overnight)	Continuous (no cliff events)
Mining allocation	100% to miner	50% miner, 25% gold, 25% PoPC
Smallest unit	1 satoshi (10^-8 BTC)	1 stock (10^-8 SOST)
~95% emission	~2036 (year 28)	~2056 (year 30)
Supply cap	Consensus rule	Subsidy-by-height (upper-bounded)

SECTION 06

Feigenbaum Constants

SOST's monetary parameters are derived from the Feigenbaum universal constants — fundamental mathematical constants of chaos theory that appear in all dynamical systems exhibiting period-doubling cascades.

FEIGENBAUM δ

4.669201...

The rate of convergence of period-doubling bifurcations. Maximum supply = δ × 10⁶ = 4,669,201 SOST.

FEIGENBAUM α

2.502907...

The scaling factor for bifurcation widths. Epoch length of 131,553 blocks corresponds to ~2.503 years.

Hard Cap by Construction

MATHEMATICAL PROOF

SOST enforces maximum supply by construction, not by tracking cumulative supply on-chain.

// Let B = BLOCKS_PER_EPOCH, 0 < q < 1
// Since floor(x) ≤ x:

TotalIssued ≤ B × Σe≥0(R0 × qe)
            = B × R0 / (1 - q)
            ≤ SUPPLY_MAX_STOCKS

// No other minting path exists.
// Any block minting more than subsidy(height) is invalid.
// Shortfall from flooring remains permanently unissued.

SECTION 07

Transaction Fees

Fee Parameters

NETWORK

Parameter	Value
Default fee rate	1 stock/byte
Minimum relay fee	1,000 stocks (0.00001 SOST)
Fee calculation	Automatic based on transaction size
Fee distribution	Included in coinbase, split across all 3 outputs
Coinbase maturity	1000 blocks (~7 days)

Address Format

SOST1 PREFIX

Property	Value
Format	sost1 + 40 hex characters
Derivation	20-byte pubkey hash (ECDSA secp256k1)
Signature	ECDSA secp256k1 with LOW-S (libsecp256k1)
Wallet encryption	AES-256-GCM + scrypt key derivation

SECTION 08

Epoch Emission Schedule

Complete supply distribution across all epochs — q = e^-1/4 ≈ 0.7788

Full Emission Table

ALL EPOCHS

Epoch	Years	Block Reward	Epoch Emission	Cumulative	% of Cap
0	0 – 2.5	7.851 SOST	1,032,824	1,032,824	22.12%
1	2.5 – 5.0	6.115 SOST	804,364	1,837,188	39.34%
2	5.0 – 7.5	4.762 SOST	626,439	2,463,627	52.76%
3	7.5 – 10.0	3.708 SOST	487,871	2,951,498	63.21%
4	10.0 – 12.5	2.888 SOST	379,955	3,331,453	71.36%
5	12.5 – 15.0	2.249 SOST	295,909	3,627,362	77.68%
6	15.0 – 17.5	1.751 SOST	230,454	3,857,816	82.62%
7	17.5 – 20.0	1.364 SOST	179,478	4,037,294	86.49%
8	20.0 – 22.5	1.062 SOST	139,777	4,177,071	89.44%
9	22.5 – 25.0	0.827 SOST	108,859	4,285,930	91.80%
10	25.0 – 27.5	0.644 SOST	84,779	4,370,709	93.58%
11	27.5 – 30.0	0.501 SOST	66,026	4,436,735	94.99%
12	30.0 – 32.5	0.390 SOST	51,421	4,488,156	96.12%
13	32.5 – 35.0	0.304 SOST	40,047	4,528,203	96.98%
14	35.0 – 37.5	0.237 SOST	31,189	4,559,392	97.65%
15	37.5 – 40.0	0.184 SOST	24,290	4,583,682	98.17%
20	50.0 – 52.5	0.042 SOST	5,580	4,639,501	99.36%
25	62.5 – 65.0	0.010 SOST	1,281	4,660,412	99.81%
30	75.0 – 77.5	0.002 SOST	294	4,666,489	99.94%
40	100 – 102.5	0.0001 SOST	15	4,669,135	99.998%
50	125 – 127.5	0.000003 SOST	0.4	4,669,201	~100%

Values computed from consensus integer arithmetic (__int128 floor-division, matching subsidy.cpp). Hard cap verified: 4,669,201.548 SOST actual convergence ≤ 4,669,201.609 SOST (SUPPLY_MAX_STOCKS) — 0.061 SOST headroom from integer flooring. Source code is authoritative.

SECTION 09

SOST vs Bitcoin — Emission Mechanics

Detailed Comparison

HEAD TO HEAD

Aspect	Bitcoin	SOST
Mechanism	Halving every 4 years (abrupt)	Exponential decay every 2.5 years (smooth)
Decay formula	R(n) = 50 × 0.5ⁿ	R(n) = 7.85 × 0.7788ⁿ
Decay per cycle	−50% (brutal cliff)	−22.12% (smooth curve)
Annual decay	~15.9%/year (stepped)	~9.03%/year (continuous)
50% emitted	~4 years	~7.5 years
95% emitted	~16 years	~30 years
Final supply	21,000,000 BTC (hard-coded)	4,669,201 SOST (Feigenbaum δ × 10&sup6;)
Emission volatility	High — supply shocks every 4yr	Low — predictable smooth curve
Miner incentives	Cliff drops → capitulation risk	Gradual → stable planning
Mathematical basis	Simple geometric series	Feigenbaum chaos theory constant

SECTION 10

Honest Comparison

SOST

Advantages

Smooth 9% annual decay vs 15.9% stepped — less volatility
Miners can plan long-term — no sudden 50% income cliff
Mathematically elegant — Feigenbaum constant as supply cap
Lower miner capitulation risk after each epoch transition
Predictable ROI — participants know exact decay curve

BITCOIN

Advantages

50% emitted in 4 years — faster network effect
Halvings = natural media events every 4 years
"Cut in half" — instantly understandable narrative
15+ years of proven market behavior
Established miner ecosystem

SOST

Tradeoffs

Slower initial distribution — 95% in 30yr vs 16yr for BTC
No dramatic halving events — less organic media attention
Mathematical narrative requires education to communicate
No historical precedent — experimental model

BITCOIN

Tradeoffs

Supply shocks every 4 years → structural price volatility
Predictable pump/dump cycles tied to halvings
Year 2140: reward = 0 — security fully dependent on fees
"Number go up" speculation dominates store-of-value narrative

SECTION 11

SOST Emission per Epoch — Logarithmic Scale

Smooth exponential decay — no cliffs (each epoch ≈ 2.5 years)

SOST Epoch Emission

LOGARITHMIC

SECTION 12

Bitcoin Emission per Era — Logarithmic Scale

Abrupt 50% halving steps every 4 years

BTC Era Emission

LOGARITHMIC

SECTION 13

Emission Curve Comparison — SOST vs Bitcoin

Both normalized to % of total supply emitted over time

Normalized Supply Curve

% OF TOTAL

SECTION 14

Bitcoin Emission Timeline

For comparison — showing the abrupt halving model

BTC Halving Eras

REFERENCE

Era	Years	Block Reward	Era Emission	Cumulative	% Total	Event
0	2009 – 2012	50 BTC	10,500,000	10,500,000	50.00%	Genesis → First Halving
1	2012 – 2016	25 BTC	5,250,000	15,750,000	75.00%	First Bull Run
2	2016 – 2020	12.5 BTC	2,625,000	18,375,000	87.50%	ICO Boom
3	2020 – 2024	6.25 BTC	1,312,500	19,687,500	93.75%	Current era
4	2024 – 2028	3.125 BTC	656,250	20,343,750	96.88%	Next halving
5	2028 – 2032	1.5625 BTC	328,125	20,671,875	98.44%	—
6	2032 – 2036	0.78125 BTC	164,063	20,835,938	99.22%	—
10	2048 – 2052	0.04883 BTC	10,254	20,989,747	99.95%	—
20	2088 – 2092	0.00005 BTC	10	20,999,990	99.9999%	—
32	2136 – 2140	~0 BTC	~0	~21,000,000	100%	Final fraction

Bitcoin's stepped model creates predictable market cycles tied to halvings. SOST replaces these supply shocks with a continuous exponential curve — same mathematical certainty, without the volatility cliff.

Feigenbaum Emission.Constitutional Split.

Supply Overview

Coinbase Split

50% + Remainder

25% Gold Reserve

25% Custody Rewards

Feigenbaum Emission

Supply Projections

SOST vs Bitcoin

Feigenbaum Constants

4.669201...

2.502907...

Transaction Fees

Epoch Emission Schedule

SOST vs Bitcoin — Emission Mechanics

Honest Comparison

Advantages

Advantages

Tradeoffs

Tradeoffs

SOST Emission per Epoch — Logarithmic Scale

Bitcoin Emission per Era — Logarithmic Scale

Emission Curve Comparison — SOST vs Bitcoin

Bitcoin Emission Timeline

Feigenbaum Emission.
Constitutional Split.