bostrom lithium

Litium (LI)

A token to every agent

Token Economy Specification v0.2

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Abstract

Litium (LI) is a CW-20 token on the Bostrom blockchain with a native denomination wrapper. Total supply is 1 Peta LI (10¹⁵). Emission follows a stepped decay curve — the sum of 7 independent exponential components firing simultaneously at genesis and exhausting on schedules from 1 day to infinity. Every transfer burns 1% of the amount permanently. 10% of all emission is allocated to a referral program. The dynamic α mechanism splits the remaining 90% between miners and stakers based on network conviction. LI serves as the most liquid gateway into the Bostrom economy, exchangeable for H (gas), V (voice), A (ampere), BOOT (L1), and major L1 assets via Osmosis.

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1. Token Parameters

Parameter	Value
Name	Litium
Ticker	LI
Standard	CW-20 (Bostrom)
Native wrap	Yes (TokenFactory denomination)
Decimals	6
Total supply	1,000,000,000,000,000 LI (1 Peta, 10¹⁵)
Genesis supply	0
Emission	100% via mining + staking + referral
Transfer burn	1% per transfer

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2. Stepped Decay Emission

LI emission is not a halving schedule. It is the sum of 7 independent emission components, each following exponential decay with different time constants. All 7 fire at genesis. As each exhausts, total emission rate drops in a discrete step.

2.1 Emission Formula

E(t) = Li₁(t) + Li₇(t) + Li₃₀(t) + Li₉₀(t) + Li₃₆₅(t) + Li₁₄₆₁(t) + Li∞(t)

2.2 Components

Component	Period	Allocation	Color
Li₁	1 day	S/7	🔴
Li₇	7 days	S/7	🟠
Li₃₀	30 days	S/7	🟡
Li₉₀	90 days	S/7	🟢
Li₃₆₅	1 year	S/7	🔵
Li₁₄₆₁	4 years	S/7	🟣
Li∞	forever	S/7	🩷

Each component receives exactly 1/7 of total supply (≈ 142.86 TLI).

2.3 Finite Component Rate

For k ∈ { 1, 7, 30, 90, 365, 1461 }:

λₖ = ln(10) / k                          — decay constant
Sₖ = S / 7                               — component allocation

Main phase:
  Liₖ(t) = 0.9 · Sₖ · λₖ · e^(−λₖt)    — 90% emitted exponentially

Tail phase:
  Liₖ(t) = (Sₖ − minedₖ(t)) · 0.01/30  — 1%/month of remainder

Transition: switch from main to tail when main rate < tail rate

Cumulative mined:

minedₖ(t) = 0.9 · Sₖ · (1 − e^(−λₖt)) + tail integral

2.4 Perpetual Component Li∞

Li∞(t) = S∞ / (365 × 20) = const

Li∞ emits at a constant linear rate forever. It distributes its allocation (S/7) over approximately 20 years. Li∞ never decays, never stops. There is always a reason for a new agent to join the network.

2.5 Cascading Shutdown

Each finite component drops to <5% of its peak rate at approximately t ≈ 1.3 × k days:

Event	Time	Supply Mined
Genesis	0	0%
Li₁ exhausted	~1 day	~21%
Li₇ exhausted	~9 days	~35%
Li₃₀ exhausted	~39 days	~51%
Li₉₀ exhausted	~4 months	~63%
Li₃₆₅ exhausted	~1.3 years	~79%
Li₁₄₆₁ exhausted	~5.2 years	~91%
Li∞ continues	forever	→ 100%

Each step down is a Schelling point — a predictable supply shock that market participants can coordinate around. Like Bitcoin halvings, but 7 of them compressed into real time.

2.6 Annualized Inflation

π(t) = E(t) × 365 / M(t)

Where M(t) = cumulative mined at time t. Inflation starts at ∞ (genesis) and steps down with each component exhaustion, converging to single-digit % as Li∞ becomes the sole emission source.

Note: actual circulating supply inflation is further reduced by the 1% transfer burn (see §4).

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3. Mining

Li is mined by submitting valid hash proofs to the Litium contract. Any agent with compute can mine.

3.1 Hash Function

H = SHA256(agent_address ‖ nonce ‖ block_hash ‖ cyberlinks_merkle)

A valid proof satisfies H < target, where target adjusts every EPOCH blocks to maintain a target solution rate.

3.2 Epoch Structure

Parameter	Value
Epoch length	1000 blocks (~1.5 hours)
Target solutions per epoch	100
Difficulty adjustment	±25% per epoch
Reward per solution	From composite emission curve E(t)

3.3 Cyberlink Integration

The mining hash incorporates the agent’s cyberlink merkle root:

• Active cyberlinkers generate unique hash spaces
• More cyberlinks → more entropy → potentially faster valid hashes
• Not a requirement — pure compute miners work fine
• Gives cyberlink-active agents a slight probabilistic edge

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4. Transfer Burn

Every LI transfer burns 1% of the transferred amount. Permanently.

send(amount) → recipient receives amount × 0.99
                burned forever:    amount × 0.01

4.1 Burn Scope

Burns are triggered by:

• Peer-to-peer transfers
• Swaps (DEX trades)
• Any CW-20 transfer or send execution

Burns are NOT triggered by:

• Staking / unstaking (state changes, not transfers)
• Mining reward claims
• Referral reward claims
• IBC transfers (burn on source chain only)

4.2 Deflationary Crossover

net_supply_change(t) = E(t) − B(t)

Where E(t) = emission rate and B(t) = burn rate (function of transfer volume).

Early: emission dominates → inflationary. Late: burn dominates → deflationary.

The crossover point is organic — driven by adoption and trading volume, not governance. As stepped decay reduces emission and network usage increases burn, LI enters permanent deflation.

4.3 Effective Supply Cap

Theoretical maximum supply is 10¹⁵ LI, but actual circulating supply will peak and then decline due to:

1. Transfer burn (1% per transfer, cumulative)
2. Lost keys (permanent removal)
3. Staked supply (locked, not circulating)

Real supply = mined − burned − lost. All three forces are deflationary after the initial emission flood.

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5. Emission Split

Every block’s emission is split three ways:

┌──────────────────────────────────────────────┐
│              Total Emission E(t)             │
├───────────────────────────────┬───────┬──────┤
│    Mining + Staking (90%)     │ Ref   │      │
│  ┌─────────────┬────────────┐ │ (10%) │      │
│  │   Work      │   Stake    │ │       │      │
│  │ (1−α/2)×90% │ (α/2)×90% │ │       │      │
│  └─────────────┴────────────┘ │       │      │
└───────────────────────────────┴───────┴──────┘

5.1 The α Parameter

α = staked_supply / circulating_supply

Within the 90% work+stake pool:

work_share    = (1 − α/2) × 0.9 × E(t)
stake_share   = (α/2) × 0.9 × E(t)
referral_share = 0.1 × E(t)

Effective splits at various α levels:

α (staked %)	Work	Stake	Referral
0%	90%	0%	10%
25%	78.75%	11.25%	10%
50%	67.5%	22.5%	10%
75%	56.25%	33.75%	10%
100%	45%	45%	10%

Miners always retain at least 45% of total emission. Stakers can never capture more than 45%. Referral allocation is fixed at 10%.

5.2 Staker Reward Distribution

Staking rewards are distributed pro-rata by stake weight per epoch:

agent_stake_reward = stake_share × (agent_stake / total_staked)

5.3 Unbonding

Parameter	Value
Minimum stake	1 LI
Unbonding period	21 days
Slashing	None (pure PoW chain, no validator duties)

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6. Referral Program

10% of all emission is allocated to the referral program.

6.1 Mechanism

Each miner registers with an optional referral address at first mine. When they submit a valid proof:

miner_reward   = work_share × solution_reward
referrer_reward = 0.1 × solution_reward

If no referrer is set, the 10% flows to a community pool.

6.2 Rules

Rule	Detail
Registration	Set once at first mine, immutable
Duration	Permanent — referrer earns forever
No referrer	10% → community pool
Self-referral	Not allowed (contract enforces)
Chain depth	1 level only (no multi-level)

6.3 Purpose

The army grows through the army. Every miner is incentivized to recruit. Referral creates exponential distribution without centralized marketing spend.

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7. Access

LI is the most liquid gateway into the Bostrom economy. It is not a utility token with forced protocol demand — it is a freely exchangeable commodity with natural market pathways.

7.1 Bostrom Network Tokens

LI can be exchanged for:

Token	Function	Exchange
H	Gas — pay for transactions	DEX (Bostrom)
V	Voice — communicate	DEX (Bostrom)
A	Ampere — rank content	DEX (Bostrom)
BOOT	L1 token — base layer	DEX (Bostrom)

7.2 External Liquidity

LI can be sold on Osmosis for major L1 assets:

Asset	Route
ETH	IBC → Osmosis
BTC	IBC → Osmosis
SOL	IBC → Osmosis

7.3 Value Accrual

LI’s value derives from:

1. Staking yield — share of all future emission via α mechanism
2. Network access — gateway to H, V, A, BOOT
3. External liquidity — exit to ETH, BTC, SOL
4. Deflation — 1% burn on every transfer, cumulative

No forced utility. No artificial sinks. Value emerges from economic properties and market dynamics.

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8. Technical Implementation

8.1 Contracts

Contract	Function
litium-core	CW-20 token + mint authority + 1% burn on transfer
litium-mine	Proof verification, difficulty adjustment, emission curve
litium-stake	Stake locking, α calculation, reward distribution
litium-refer	Referral registration, reward routing, community pool
litium-wrap	TokenFactory native denom ↔ CW-20 bridge

8.2 Emission Curve Implementation

The composite emission curve E(t) is computed on-chain:

fn emission_rate(block_time: u64) -> Uint128 {
    let t = days_since_genesis(block_time);
    let mut total = Uint128::zero();
 
    for component in COMPONENTS {
        total += component.rate_at(t);
    }
 
    total
}

Each component independently tracks its own cumulative emission and transitions from main to tail phase when appropriate.

8.3 Native Wrapper

Li exists as both CW-20 and native Bostrom denomination via TokenFactory:

CW-20:  cw20:bostrom1...litium
Native: factory/bostrom1.../ulitium

Agents can freely convert between representations. Native denom enables IBC transfers and Bostrom-native operations.

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9. Distribution Projection

Assuming moderate network participation:

Time	Supply Mined	Active Components	Est. Inflation
Day 1	~21%	6 (Li₁ exhausted)	~10,000%/yr
Day 7	~35%	5	~2,000%/yr
Day 30	~51%	4	~400%/yr
Day 90	~63%	3	~100%/yr
Year 1	~79%	2	~20%/yr
Year 4	~91%	1 (Li∞ only)	~2%/yr
Year 10	~95%	1	~1%/yr

Note: these are gross emission inflation figures. Net inflation (accounting for 1% transfer burn) will be significantly lower, and likely negative at scale.

Early miners who stake accumulate the most. Each step-down event reduces emission and creates a predictable supply shock. First-mover advantage is massive but time-bounded.

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10. Fork Defense

Stepped decay provides a natural time-based moat against forks:

• A fork on Day 30 starts without the first 3 components (51% already distributed on original chain)
• A fork on Day 90 misses 63% of supply
• A fork after Year 1 misses 79%

Each day of delay = permanently lost emission. The cascade encodes time into the token’s DNA. The longer the original chain runs, the harder it becomes to fork credibly.

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11. Summary

Litium is a stepped decay token economy:

1. Mine it — submit valid hashes, receive LI from 7 emission components
2. Stake it — lock LI, receive share of future emissions via α
3. Refer — recruit miners, earn 10% of their rewards forever
4. Burn it — every transfer removes 1% permanently
5. Access — exchange for H, V, A, BOOT, or sell for ETH, BTC, SOL

No governance. No premine. No vesting. Just math.

The emission curve begins with an explosive genesis flood — all 7 components firing simultaneously — and steps down as each exhausts on its own schedule. Li∞ ensures the door never closes. The 1% burn ensures the supply never bloats. The referral program ensures the army grows through the army.

Bitcoin invented the halving. Litium invented stepped decay.

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Li — a token to every agent.