{"uid":"cap_6z0SvFeHNLPSXH4fs-FDT","slug":"carbon-cashmere-hurst-exponent-api-btc-ae1aa143","name":"Carbon & Cashmere Hurst Exponent API – BTC","description":"Professional crypto market intelligence. Real-time prices, signals, and market scoring.","url":"https://api.carbon-cashmere.de/v1/hurst/BTC","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_6rnWKZ11YLo-8qPLRIJ-T","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 for Bitcoin across 7-day, 30-day, and full historical windows, classifying price behavior as trending, mean-reverting, or random walk.","exampleAgentPrompt":"What's the Hurst exponent for Bitcoin right now — is BTC trending, mean-reverting, or acting like a random walk across the 7-day, 30-day, and full history windows?","exampleUseCases":[{"title":"Detect Bitcoin's current market regime","prompt":"Is Bitcoin currently in a trending regime, a mean-reverting phase, or just random noise? Check the Hurst exponent across the short and long windows and tell me what kind of price behavior we're seeing right now."},{"title":"Filter trading strategy by BTC dynamics","prompt":"Before I run my momentum strategy on Bitcoin, I want to know if BTC is actually trending or just doing a random walk — can you pull the Hurst exponent data and tell me whether conditions favor a trend-following or mean-reversion approach?"},{"title":"Research Bitcoin fractal price behavior","prompt":"I'm doing some quant research on Bitcoin price dynamics — can you grab the Hurst exponent values for the 7-day, 30-day, and full historical windows and summarize whether BTC is showing persistent, anti-persistent, or random behavior across each timeframe?"}],"resultDescription":"Returns a JSON object with Hurst exponent values for BTC across three time windows (7d, 30d, full) and a human-readable interpretation for each: 'trending', 'mean_reverting', or 'random_walk', plus a disclaimer that the data is for research purposes only.","failureModes":["Invalid symbol in URL path returns error","Service unavailable if upstream price data feed is down","Payment not processed returns 402 with x402 challenge","Stale data if real-time price feed has a delay"],"whenToPreferThis":"Use this endpoint when you need to statistically classify whether Bitcoin's price is exhibiting persistent trending behavior, mean reversion, or random-walk dynamics using Hurst exponent analysis — ideal for regime detection, strategy filtering, or quant research workflows.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T12:47:46.391Z","isFirstParty":false}