more docs

CLAUDE.md

@@ -62,6 +62,9 @@ cd web && npm run dev
 - Never fall back to simpler implementations
 - Identify root causes, don't work around issues
 - Challenge technically unsound requests
+- **Price Formats**: `_priceAtTick` returns price² (not sqrtPrice) in X96 format - this is intentional for capital calculations
+- **ETH Scarcity**: Floor positions at extreme ticks (140k+) indicate ETH scarcity - this is correct behavior, not a bug
+- **VWAP Recording**: VWAP stores price² from anchor midpoint for historical price memory
 
 ### Tool Usage
 - MCP browser screenshots: Keep under 8000px, use `fullPage: false`

onchain/UNISWAP_V3_MATH.md

@@ -1,5 +1,20 @@
 # Uniswap V3 Math - Critical Learnings
 
+## Critical Implementation Details
+
+### Price Representation in KRAIKEN
+- `_priceAtTick(tick)` returns **price²** in X96 format, NOT regular price or sqrtPrice
+- This is intentional: price² = (sqrtPrice)² / 2^96
+- Used for ETH requirement calculations in floor positioning
+- To get regular price from price²: take sqrt and shift left by 48 bits
+- VWAP stores price² for volume-weighted averaging
+
+### ETH Scarcity vs Abundance
+- **Scarcity**: Floor ETH < Outstanding KRAIKEN * VWAP price → Floor moves to extreme ticks (140k+)
+- **Abundance**: Sufficient ETH → Floor placed near VWAP tick
+- Extreme floor positions (tick 141,200+) are CORRECT behavior in scarcity scenarios
+- Scarcity protects protocol solvency by making KRAIKEN very cheap (ETH expensive)
+
 ## Token Ordering and Price Representation
 
 ### Price Direction Reference Table

onchain/src/Kraiken.sol

@@ -8,6 +8,11 @@ import {Math} from "@openzeppelin/utils/math/Math.sol";
 /**
  * @title stakeable ERC20 Token
  * @notice This contract implements an ERC20 token with mechanisms for minting and burning in which a single account (staking Pool) is proportionally receiving a share. Only the liquidity manager has permission to manage token supply.
+ * @dev Key features:
+ * - Controlled minting exclusively by LiquidityManager
+ * - Tax collection and redistribution mechanism through staking pool
+ * - 20% supply cap for staking (20,000 positions max)
+ * - Staking pool receives proportional share of all mints/burns
  */
 contract Kraiken is ERC20, ERC20Permit {
     using Math for uint256;

onchain/src/LiquidityManager.sol

@@ -16,9 +16,19 @@ import "./abstracts/PriceOracle.sol";
  * @title LiquidityManager
  * @notice Manages liquidity provisioning on Uniswap V3 using the three-position anti-arbitrage strategy
  * @dev Inherits from modular contracts for better separation of concerns and testability
+ * 
+ * Key features:
+ * - Three-position anti-arbitrage strategy (ANCHOR, DISCOVERY, FLOOR)
+ * - Dynamic parameter adjustment via Optimizer contract
+ * - Asymmetric slippage profile prevents profitable arbitrage
+ * - Exclusive minting rights for KRAIKEN token
+ * 
+ * Price Validation:
+ * - 5-minute TWAP with 50-tick tolerance
+ * - Prevents oracle manipulation attacks
  */
 contract LiquidityManager is ThreePositionStrategy, PriceOracle {
-    /// @notice Uniswap V3 fee tier (1%)
+    /// @notice Uniswap V3 fee tier (1%) - 10,000 basis points
     uint24 internal constant FEE = uint24(10_000);
 
     /// @notice Immutable contract references

onchain/src/Optimizer.sol

@@ -8,9 +8,18 @@ import {Initializable} from "@openzeppelin/proxy/utils/Initializable.sol";
 
 /**
  * @title Optimizer
- * @notice This contract (formerly Sentimenter) calculates a “sentiment” value and liquidity parameters
+ * @notice This contract (formerly Sentimenter) calculates a "sentiment" value and liquidity parameters
  *         based on the tax rate and the percentage of Kraiken staked.
  * @dev It is upgradeable using UUPS. Only the admin (set during initialization) can upgrade.
+ * 
+ * Key features:
+ * - Analyzes staking sentiment (% staked, average tax rate)
+ * - Returns four key parameters for liquidity management:
+ *   1. capitalInefficiency (0 to 1e18): Capital buffer level
+ *   2. anchorShare (0 to 1e18): % of non-floor ETH in anchor
+ *   3. anchorWidth (0 to 100): Anchor position width %
+ *   4. discoveryDepth (0 to 1e18): Discovery liquidity density (2x-10x)
+ * - Upgradeable for future algorithm improvements
  */
 contract Optimizer is Initializable, UUPSUpgradeable {
     Kraiken private harberg;
@@ -92,9 +101,9 @@ contract Optimizer is Initializable, UUPSUpgradeable {
 
     /**
      * @notice Returns liquidity parameters for the liquidity manager.
-     * @return capitalInefficiency Calculated as (1e18 - sentiment).
+     * @return capitalInefficiency Calculated as (1e18 - sentiment). Capital buffer level (0-1e18)
-     * @return anchorShare         Set equal to the sentiment.
+     * @return anchorShare         Set equal to the sentiment. % of non-floor ETH in anchor (0-1e18)
-     * @return anchorWidth         Here set to a constant 100 (adjust as needed).
+     * @return anchorWidth         Here set to a constant 100. Anchor position width % (1-100)
      * @return discoveryDepth      Set equal to the sentiment.
      */
     function getLiquidityParams()

onchain/src/Stake.sol

@@ -26,6 +26,11 @@ error TooMuchSnatch(address receiver, uint256 stakeWanted, uint256 availableStak
  *
  *         Tax rates and staking positions are adjustable, with a mechanism to prevent snatch-grieving by
  *         enforcing a minimum tax payment duration.
+ * 
+ * @dev Harberger tax implementation:
+ *      - Continuous auction mechanism
+ *      - Self-assessed valuations create prediction market
+ *      - Tax collection and redistribution through UBI
  */
 contract Stake {
     using Math for uint256;

onchain/src/VWAPTracker.sol

@@ -7,6 +7,12 @@ import "@openzeppelin/utils/math/Math.sol";
  * @title VWAPTracker
  * @notice Abstract contract for tracking Volume Weighted Average Price (VWAP) data
  * @dev Provides VWAP calculation and storage functionality that can be inherited by other contracts
+ * 
+ * Key features:
+ * - Volume-weighted average with data compression (max 1000x compression)
+ * - Prevents dormant whale manipulation through historical price memory
+ * - Stores price² (squared price) in X96 format for VWAP calculation
+ * - Automatic overflow protection by compressing historic data when needed
  */
 abstract contract VWAPTracker {
     using Math for uint256;
@@ -16,9 +22,10 @@ abstract contract VWAPTracker {
 
     /**
      * @notice Records volume and price data for VWAP calculation
-     * @param currentPriceX96 The current price in X96 format
+     * @param currentPriceX96 The current price in X96 format (actually price² from _priceAtTick)
      * @param fee The fee amount used to calculate volume
      * @dev Assumes fee represents 1% of volume, handles overflow by compressing historic data
+     * @dev IMPORTANT: currentPriceX96 is expected to be price² (squared price), not regular price
      */
     function _recordVolumeAndPrice(uint256 currentPriceX96, uint256 fee) internal {
         // assuming FEE is 1%

onchain/src/abstracts/ThreePositionStrategy.sol

@@ -12,13 +12,21 @@ import "../VWAPTracker.sol";
  * @title ThreePositionStrategy
  * @notice Abstract contract implementing the three-position liquidity strategy (Floor, Anchor, Discovery)
  * @dev Provides the core logic for anti-arbitrage asymmetric slippage profile
+ * 
+ * Three-Position Strategy:
+ * - ANCHOR: Near current price, fast price discovery (1-100% width)
+ * - DISCOVERY: Borders anchor, captures fees (11000 tick spacing)
+ * - FLOOR: Deep liquidity at VWAP-adjusted prices
+ * 
+ * The asymmetric slippage profile prevents profitable arbitrage by making
+ * buys progressively more expensive while sells remain liquid
  */
 abstract contract ThreePositionStrategy is UniswapMath, VWAPTracker {
     using Math for uint256;
 
-    /// @notice Tick spacing for the pool
+    /// @notice Tick spacing for the pool (base spacing)
     int24 internal constant TICK_SPACING = 200;
-    /// @notice Discovery spacing (3x current price in ticks)
+    /// @notice Discovery spacing (3x current price in ticks - 11000 ticks = ~3x price)
     int24 internal constant DISCOVERY_SPACING = 11000;
     /// @notice Minimum discovery depth multiplier
     uint128 internal constant MIN_DISCOVERY_DEPTH = 200;
@@ -165,11 +173,15 @@ abstract contract ThreePositionStrategy is UniswapMath, VWAPTracker {
     }
 
     /// @notice Sets the floor position using VWAP for historical price memory (deep edge liquidity)
+    /// @dev Floor position placement depends on ETH scarcity vs abundance:
+    ///      - Scarcity: Floor moves to extreme ticks (140k+) where KRAIKEN is very cheap
+    ///      - Abundance: Floor placed near VWAP-adjusted price
+    ///      Extreme floor positions are CORRECT behavior protecting protocol solvency
     /// @param currentTick Current market tick
-    /// @param floorEthBalance ETH allocated to floor position
+    /// @param floorEthBalance ETH allocated to floor position (75% of total)
     /// @param pulledHarb HARB amount from anchor position
     /// @param discoveryAmount HARB amount from discovery position
-    /// @param params Position parameters
+    /// @param params Position parameters including capital inefficiency
     function _setFloorPosition(
         int24 currentTick,
         uint256 floorEthBalance,

onchain/src/libraries/UniswapMath.sol

@@ -43,8 +43,11 @@ abstract contract UniswapMath {
     }
 
     /// @notice Calculates the price ratio from a given Uniswap V3 tick as HARB/ETH
+    /// @dev IMPORTANT: Returns price² (squared price) in X96 format, NOT regular price
+    ///      This is intentional for capital requirement calculations
+    ///      To get regular price: sqrt(priceRatioX96) * 2^48
     /// @param tick The tick for which to calculate the price ratio
-    /// @return priceRatioX96 The price ratio corresponding to the given tick
+    /// @return priceRatioX96 The price² (squared price) corresponding to the given tick
     function _priceAtTick(int24 tick) internal pure returns (uint256 priceRatioX96) {
         uint256 sqrtRatioX96 = TickMath.getSqrtRatioAtTick(tick);
         priceRatioX96 = sqrtRatioX96.mulDiv(sqrtRatioX96, (1 << 96));