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Carbon Cashmere Hurst Exponent API
x402
Carbon Cashmere Hurst Exponent API is a paid API for AI agents from api.carbon-cashmere.de, paid per call via x402, $0.12/call, status unknown (last checked 2026-09-15).
Computes the Hurst exponent via rescaled range (R/S) analysis across 3 timescales (7d/30d/full) for a given cryptocurrency, enabling regime detection between mean-reverting, random-walk, and trending market states.
Price / call$0.12
Success—
StatusUnknown
How this service works
Hurst exponent via rescaled range (R/S) computed across 3 timescales (7d/30d/full). H<0.45 = mean-reverting, H~0.5 = random walk, H>0.55 = trending. Used for regime detection and strategy allocation. Informational research data — not investment advice.
Output
Returns the Hurst exponent value computed via rescaled range (R/S) analysis for the requested coin across three timescales (7d, 30d, and full history), along with a regime classification: H<0.45 indicates mean-reverting behavior, H~0.5 indicates a random walk, and H>0.55 indicates a trending market. Also includes the coin symbol and metadata.
Example use cases
Example prompt
“What's the Hurst exponent for ETH right now — is it trending, mean-reverting, or a random walk across the 7-day, 30-day, and full-period timescales?”
Technical details
Endpoint
GEThttps://api.carbon-cashmere.de/v1/hurst/:coinWhen to prefer
Use this endpoint when you need quantitative regime detection for a specific cryptocurrency to decide between trend-following and mean-reversion trading strategies. It is ideal for AI agents performing strategy allocation, regime-aware backtesting, or systematic research on crypto market dynamics. Prefer this over general price endpoints when you specifically need a statistical characterization of market persistence across multiple timescales.
Side effects
- Unsupported coin ticker returns an error — only 34 specific coins are supported (e.g. BTC, ETH, SOL)
- Coin ticker provided in lowercase may fail — must be uppercase
- Insufficient historical price data for a given timescale may result in incomplete or null Hurst values
- Payment failure or missing x402 payment header returns 402 Payment Required
- Network timeout or upstream data source unavailability returns 5xx error
Tags
x402
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