{"uid":"cap_qHys1dINW8BqMy496ua5A","slug":"api-carbon-cashmere-de-25f91965","name":"Carbon Cashmere Cointegration Test API","description":"Engle-Granger cointegration test + Augmented Dickey-Fuller on spread + half-life of mean reversion. Pair format: BASE-QUOTE (e.g. /v1/cointegration/BTC-ETH). Returns test_statistic, p_value, critical values (1/5/10 pct), is_cointegrated flags, spread analytics (beta coefficient, current z-score, mean/std), and OU half-life in days if stationary. Statistical pairs-trading research tool. Informational research data — not investment advice.","url":"https://api.carbon-cashmere.de/v1/cointegration/:pair","method":"GET","headers":{},"bodySchema":null,"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.05","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_PU7Y1B2mnQTmkvTRW4F7a","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":"Runs Engle-Granger cointegration test and Augmented Dickey-Fuller on a crypto pair spread, returning statistical test results, spread analytics, and mean-reversion half-life for pairs trading research.","exampleAgentPrompt":"Can you run a cointegration test on BTC-ETH — I want to know if they're statistically cointegrated, what the current z-score and spread beta are, and how many days the spread takes to mean-revert?","exampleUseCases":null,"resultDescription":"Returns Engle-Granger test statistic and p-value, critical values at 1%/5%/10% thresholds, is_cointegrated boolean flags, spread analytics (beta coefficient, current z-score, mean, std), and the Ornstein-Uhlenbeck half-life in days if the spread is stationary.","failureModes":["Invalid pair format (not uppercase BASE-QUOTE) returns 400 validation error","Pair not supported or insufficient historical data returns 404 or empty result","Spread is non-stationary — half-life field may be absent or null","Payment not provided or insufficient USDC returns 402 Payment Required","Rate limiting or upstream data unavailability returns 503"],"whenToPreferThis":"Choose this endpoint when you need rigorous statistical validation of a crypto pairs-trading hypothesis — specifically Engle-Granger cointegration with ADF confirmation and mean-reversion speed (OU half-life). Prefer it over simple correlation checks when you need p-values, critical value thresholds, and actionable z-scores for entry/exit signals in a statistical arbitrage strategy.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:57:39.978Z","isFirstParty":false}