GitSat AMM

A git-native Automated Market Maker (AMM) for swapping testnet4 sats ↔ GSAT tokens.

Try the Demo

How It Works

1. Token: 21 million GSAT tokens (like Bitcoin's supply)
2. AMM: Constant product formula (x × y = k) like Uniswap
3. Identity: did:nostr: keys (your Nostr pubkey)
4. State: Stored in git, anchored to Bitcoin testnet4
5. Validation: Client-side validation of state transitions

Architecture

state.json          - Current balances and AMM reserves
├── token           - Token metadata (name, symbol, supply)
├── balances        - Map of did:nostr:pubkey → balance
└── amm             - Pool reserves and k constant

AMM Formula

x × y = k

Where:
- x = sats reserve
- y = token reserve
- k = constant product

Output = (input × 997 × reserveOut) / (reserveIn × 1000 + input × 997)
(0.3% fee)

Operations

Action	Description
buy(sats)	Swap sats for GSAT tokens
sell(tokens)	Swap GSAT for sats
transfer(to, amount)	Send tokens to another did

Trust Model

Layer	Provides
Bitcoin UTXO	Ordering, single-spend protection
Git repo	State storage, history, data availability
Nostr	Identity (did:nostr:), discovery
AMM math	Deterministic pricing

Initial State

• Total Supply: 21,000,000 GSAT
• AMM Pool: 20,000,000 GSAT + 1,000,000 sats
• Initial Price: 0.05 sats/GSAT

License

MIT