{"uid":"cap_f3AyfFuiPJYnHYJ_uEMUZ","slug":"api-carbon-cashmere-de-7dbcf8cc","name":"Carbon Cashmere Hurst Exponent API","description":"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.","url":"https://api.carbon-cashmere.de/v1/hurst/:coin","method":"GET","headers":{},"bodySchema":null,"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.12/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.12","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.12","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_cAIyOarrwUOSgVSFJZJfG","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.12","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"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.","exampleAgentPrompt":"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?","exampleUseCases":null,"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T12:44:09.874Z","isFirstParty":false}