{"uid":"cap_Bb3bB6yTZZvcvIPpkoufZ","slug":"carbon-cashmere-cointegration-analysis-api-65cda74b","name":"Carbon & Cashmere Cointegration Analysis API","description":"Professional crypto market intelligence. Real-time prices, signals, and market scoring.","url":"https://api.carbon-cashmere.de/v1/cointegration/%7Bpair%7D","method":"GET","headers":{},"bodySchema":{"type":"object","properties":{"properties":{"type":"string"}}},"responseSchema":{"type":"json","example":{"base":"BTC","pair":"BTC-ETH","_meta":{"disclaimer":"Informational research data only — not investment advice."},"quote":"ETH","spread":{"current":0.023,"zscore_current":1.42,"beta_coefficient":0.89},"engle_granger":{"p_value":0.012,"test_statistic":-3.42,"critical_values":{"5pct":-3.38}},"lookback_days":90,"mean_reversion":{"adf_p_value":0.018,"half_life_days":4.2},"is_cointegrated_at_5pct":true,"is_cointegrated_at_10pct":true}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.05","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":"$0.05/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.05","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_kIFFX7kgvgFfuFDOXkoLT","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.05","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Returns statistical cointegration metrics for a crypto pair including Engle-Granger test results, spread z-score, beta coefficient, and mean-reversion half-life","exampleAgentPrompt":"Run a cointegration test on the BTC-ETH pair and tell me if they're statistically cointegrated at the 5% level, along with the current spread z-score and how many days it takes to mean-revert.","exampleUseCases":null,"resultDescription":"A JSON object containing: base and quote asset identifiers, Engle-Granger test statistic and p-value with critical values, current spread value and z-score, beta coefficient, lookback period in days, ADF p-value for mean reversion, mean-reversion half-life in days, and boolean flags for cointegration at 5% and 10% significance levels.","failureModes":["Invalid or unsupported pair symbol returns an error","Insufficient historical data for the pair may yield unreliable statistics","Malformed pair format (not BASE-QUOTE) returns 400","Payment not included or insufficient USDC returns 402","Rate limiting if too many requests in short window"],"whenToPreferThis":"Use this endpoint when you need rigorous statistical validation of a pairs-trading hypothesis between two crypto assets — specifically when you need Engle-Granger cointegration test results, spread z-scores, and mean-reversion half-life rather than simple correlation. Prefer over generic price endpoints when the goal is quantitative strategy validation.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:38:23.108Z","isFirstParty":false}