{"uid":"cap_rGOC_mtYl7ZlrqB29-ICc","slug":"carbon-cashmere-hurst-exponent-api-eth-8a88a1b1","name":"Carbon & Cashmere Hurst Exponent API – ETH","description":"Professional crypto market intelligence. Real-time prices, signals, and market scoring.","url":"https://api.carbon-cashmere.de/v1/hurst/ETH","method":"GET","headers":{},"bodySchema":{"type":"object","properties":{"properties":{"type":"string"}}},"responseSchema":{"type":"json","example":{"_meta":{"disclaimer":"Informational research data only — not investment advice."},"symbol":"BTC","hurst_7d":0.48,"hurst_30d":0.55,"hurst_full":0.52,"interpretation_7d":"random_walk","interpretation_30d":"trending","interpretation_full":"random_walk"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_zpzqN4tFENWIE-QGVgdng","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Returns Hurst exponent values and trend/randomness interpretations for Ethereum (ETH) across multiple time windows (7d, 30d, full history)","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 history windows?","exampleUseCases":[{"title":"ETH regime detection for strategy","prompt":"Before I deploy my ETH momentum strategy, can you check whether Ethereum is currently in a trending or random-walk regime using the Hurst exponent across the 7-day and 30-day windows?"},{"title":"Research report on ETH persistence","prompt":"I'm writing a market research note on Ethereum price dynamics — pull the Hurst exponent scores across all available time horizons and tell me whether ETH shows signs of long-range dependence or behaves more like a random walk."},{"title":"Compare short vs long-term ETH behavior","prompt":"Is ETH's price behavior more persistent over the short term or the long term? Grab the Hurst analysis for the 7-day, 30-day, and full history and walk me through how the trend characteristics shift across those windows."}],"resultDescription":"A JSON object containing Hurst exponent scores for ETH across three time horizons (7d, 30d, full), each accompanied by an interpretation label ('random_walk' or 'trending'), plus a disclaimer noting the data is for informational research only and not investment advice.","failureModes":["Invalid or unsupported coin symbol in URL path returns an error","Network or upstream data unavailability causes a 5xx response","Malformed request headers (e.g. missing x402 payment) result in 402 Payment Required","Rate limiting may occur under heavy usage"],"whenToPreferThis":"Use this endpoint when you need to quantify whether ETH price dynamics exhibit trending (persistent) or random-walk behavior using the Hurst exponent — a rigorous statistical measure of long-range dependence. Prefer this over simple moving average or RSI-based signals when you want a fractal/statistical characterization of market regime rather than a momentum or mean-reversion indicator alone.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T17:53:08.776Z","isFirstParty":false}