Uniswap V3 liquidity library - ability to calculate liquidity within a specific range

[mesozoic-technology]

Understanding BalancerV2 is Overlay's launch point, I did happen to be rooting around in Uniswap's periphery repo and encountered this library for ascertaining liquidity amounts between particular price points.

https://github.com/Uniswap/v3-periphery/blob/main/contracts/libraries/LiquidityAmounts.sol

I wanted to catalogue this discussion due to a curiosity about what this library might mean for a formalism built around UniV3.

Where we currently have this as the Overlay market's measure for the market liquidity,

            _marketLiquidity = ethIs0
                ? ( uint256(_liquidity) << 96 ) / _sqrtPrice
                : FullMath.mulDiv(uint256(_liquidity), _sqrtPrice, X96);

According to this library, it could be augmented to read liquidity between between specific tick boundaries.

Perhaps this lends more security to a formalism built around uni v3?

Tabling this out of curiosity for potential future development.