THE WEI OF LUV

I. What a wei is

The wei is Ethereum's atomic unit of value: the indivisible quantum beneath the ether. One ether is defined as exactly

1 ETH = 10¹⁸ wei = 1,000,000,000,000,000,000 wei

The unit is named for Wei Dai, whose 1998 b-money proposal is cited in the first reference of the Bitcoin whitepaper. The denomination ladder — wei → kwei → mwei → gwei → szabo → finney → ether — is fixed in Ethereum's specification (Wood 2014, the Yellow Paper); gas prices are conventionally quoted in gwei (10⁹ wei).

LUV shares the same atomic geometry. ShambaLuv is an 18-decimal ERC-20, so 1 LUV = 10¹⁸ LUV-wei. The wei of LUV — the smallest possible gesture — is one LUV-wei: 0.000000000000000001 LUV. The total supply, the 36-digit repunit 111111111111111111111111111111111111 LUV-wei, is ≈ 111.1 quadrillion whole LUV. Down to the last wei, the supply is ones.

II. The price of LUV, measured in wei

The Uniswap V2 pair prices LUV by the ratio of its reserves. As of 2026-08-03:

LUV reserve  = 1,974,737,045,122,436.05587… LUV
WETH reserve = 0.137747730452916271 ETH = 137747730452916271 wei

price(ONE LUV) = WETH reserve ÷ LUV reserve
               = 6.975497 × 10⁻¹⁷ ETH
               = 69.754974 wei

1. The wei of LUV in wei of ETH. One LUV-wei ≈ 6.98 × 10⁻¹⁷ wei — the smallest unit of LUV undercuts Ethereum's smallest unit by seventeen orders of magnitude. There is no smaller denominated feeling on the chain.
2. LUV per wei. Inverting the price: 1 wei buys 0.014336 LUV — about a seventieth of a LUV.
3. Integer-story pricing. Because X was fixed at a round ten wei, every future price is a small, legible multiplier — the X multiplier shown live on the measure.

III. LUV and ETH, price against price

Using the pair's own USD leg at the same instant — ONE LUV = $1.358 × 10⁻¹³, implied ETH ≈ $1,946.9 (priceUsd ÷ priceNative) — the two currencies compare denomination by denomination:

The single number beneath the whole table: price(ETH) ÷ price(LUV) = 1.434 × 10¹⁶ — one ETH is worth what ~14.34 quadrillion LUV are worth. That ratio and the per-ETH row are the same fact stated twice, which is the internal-consistency check.

Gas in LUV. A plain ETH transfer (21,000 gas at 1 gwei) costs 2.1 × 10⁻⁵ ETH ≈ 301 billion LUV — three "a lot of LUV" gestures just to move ETH once. Wallet-to-wallet LUV transfers carry 0% token fee by design.

The mid-price caveat. "1 ETH buys 14.34 quadrillion LUV" is the ratio, not an executable trade: the pool holds 1.97 quadrillion LUV, the constant-product curve moves price against size, and real fills bear the 0.3% LP fee plus LUV's 5% transfer fee — hence the standing ~10% slippage guidance.

IV. Sources of ETH liquidity

1. The genesis seed (verified on-chain). One addLiquidityETH transaction (0x9f8e0bf6… ↗, block 25620950) paired 0.051922968585348276 ETH from the treasury against 2¹¹²−1 LUV-wei ≈ 5.19 quadrillion LUV — the absolute maximum a Uniswap V2 pair can hold, since V2 stores reserves as uint112 and reverts above it ('UniswapV2: OVERFLOW', UniswapV2Pair.sol ↗). The seed arithmetic is exact: (2¹¹²−1) × 10 wei ÷ 10¹⁸ = 0.05192296858… ETH — the ETH leg is the LUV leg times ten wei.
2. Buys (continuous). Every purchase deposits WETH and withdraws LUV. The ETH reserve's growth from 0.05192 to 0.13775 ETH — a 2.653× liquidity multiplier from X — is, net of the few sells, accumulated buyer ETH. Price multiplier (6.98×) says what enthusiasm claims; the ETH leg says what it deposited.
3. The 1% auto-liquidity fee (protocol-native). Of LUV's 5% trade fee, one point accrues as LUV in the token contract and is swapped to ETH via public processFees() toward the liquidity wallet — a protocol-level ETH stream earmarked for deepening the pool (1% funds incentives; 3% reflects to holders).
4. Treasury deepening and multichain (prospective). The treasury holds the 100-quadrillion circulating allocation (90% of supply) from which further ETH-side deepening proceeds — and the create3d rail reserves the same addresses on every chain for future pools. The standing priority is locking the liquidity: the LP position into LUVLocker, converting depth from a promise into a verifiable on-chain commitment.

V. The burn and the market cap

Some LUV was sent to 0x…dEaD, which now holds 4,980,559,643,425,538 LUV (4.483% of supply) — burned forever and excluded from reflections (verified: isExcludedFromReflection = true). Reported market capitalization = price × counted supply, so the burn reduced the reported cap by exactly its share — at today's price, ≈ $15,089 full-supply versus ≈ $14,413 excluding the burn — while every surviving holder's claim on future reflections grew, since a burned balance can never absorb a reflection. The cap fell; each remaining LUV's share of the feeling rose.

Appendix — reproduce every number

# pair reserves (LUV is token0, WETH token1)
cast call 0x57D2085Aa859a145cB107845AD03c0eAAFBD8a31 "getReserves()"

# price of ONE LUV in wei = reserve1/reserve0 × 1e18
# LUV per wei             = 1 ÷ (price in wei)
# multiplier from X       = (price in wei) ÷ 10
# liquidity multiplier    = reserve1 ÷ 51922968585348276

# the uint112 seed
python3 -c "print(2**112 - 1)"   # 5192296858534827628530496329220095

# the burn
cast call 0x2711…8254 "balanceOf(address)" 0x…dEaD
cast call 0x2711…8254 "isExcludedFromReflection(address)" 0x…dEaD

References: Wood, G. (2014), "Ethereum: A Secure Decentralised Generalised Transaction Ledger" (the Yellow Paper, defining wei) · Dai, W. (1998), "b-money" · Adams, H., Zinsmeister, N., & Robinson, D. (2020), "Uniswap v2 Core" (uint112 reserves) · Nakamoto, S. (2008), "Bitcoin: A Peer-to-Peer Electronic Cash System."