> For the complete documentation index, see [llms.txt](https://docs.vyper.network/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.vyper.network/v4-curve/vpn.md).

# Vyper Curve

Mint & Burn VYP on-curve

<figure><img src="https://515460638-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2Fqt76qIqrh7tMztyvBmmq%2Fuploads%2FNXOn7SlaAKH093SCGYSb%2FVYPER_Twitter_1500_500V1.2%20(2).png?alt=media&amp;token=f12aebe5-cf98-4d2b-a6a0-814e2931698f" alt=""><figcaption></figcaption></figure>

### Fair Launch

Fair-launch bonding curve on Uniswap V4. \
No presale, no team allocation, no BS — every VYP is minted by ETH entering the reserve.

### Sato(shi) Inspired

Drawing inspiration from Sato(shi), the pure-math asymptote means that the supply curve approaches but never touches the 21m hard cap. \
Minting continues indefinitely; price grows exponentially with cumulative ETH.\
VYP includes sat1 bugfix, as well as Steepness optimization.

![](https://cdn.prod.website-files.com/66f362f70faa52510e7048d8/66f362f70faa52510e704994_check-circle.svg) VYP has bugfix tested by sat1. And S optimization.

![](https://cdn.prod.website-files.com/66f362f70faa52510e7048d8/66f362f70faa52510e704994_check-circle.svg) Supply never reaches 21,000,000.

![](https://cdn.prod.website-files.com/66f362f70faa52510e7048d8/66f362f70faa52510e704994_check-circle.svg) Permissionless code. Pure math.

<figure><img src="https://515460638-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2Fqt76qIqrh7tMztyvBmmq%2Fuploads%2FNQg15CQkzpBZvxSbdBo7%2FScreenshot%202026-05-11%20at%2014.40.51.png?alt=media&amp;token=97be4247-50ac-457f-82b6-ac47b4788a7c" alt=""><figcaption></figcaption></figure>