# Carbon & Cashmere Mean Reversion Analytics – BTC

> Carbon & Cashmere Mean Reversion Analytics – BTC is a paid API for AI agents from api.carbon-cashmere.de, paid per call via x402, $0.01/call, status unknown (last checked 2026-09-15).

Returns mean-reversion statistics for BTC including z-scores to 20/50/200-bar moving averages, Ornstein-Uhlenbeck half-life, and reversion probability

## Facts

- Endpoint: GET https://api.carbon-cashmere.de/v1/mean-reversion/BTC
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/carbon-cashmere-mean-reversion-analytics-btc-ed2fbffb
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_pCT1tPwrZaz2-O5vP08lp

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability carbon-cashmere-mean-reversion-analytics-btc-ed2fbffb
```

Example prompt: Pull the mean-reversion analytics for BTC right now — I want to see its z-scores to the 20, 50, and 200-bar moving averages, the Ornstein-Uhlenbeck half-life in days, and the probability that it reverts to the mean.

## When to prefer this

Use this endpoint when you need statistically rigorous mean-reversion metrics for BTC specifically — z-scores to multiple moving averages and Ornstein-Uhlenbeck dynamics — rather than simple price lookups or trend-following indicators. Ideal for quant strategies, stat-arb signal generation, or assessing whether BTC is overextended relative to its historical mean.

## Known failure modes

- Invalid or unsupported symbol in URL path returns an error
- Service unavailable if upstream price data feed is down
- Payment required (402) if x402 micropayment header is missing or invalid
- Rate limiting if too many calls are made in quick succession

## How this service works

Professional crypto market intelligence. Real-time prices, signals, and market scoring.

## Output

A JSON object containing: the BTC symbol, z-scores to 20-, 50-, and 200-bar moving averages, the Ornstein-Uhlenbeck half-life in days (AR(1) decay speed), a boolean indicating whether BTC is currently mean-reverting, the OU lambda per bar, and the reversion probability. Also includes a disclaimer that the data is for informational/research purposes only.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "properties": {
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "_meta": {
   "disclaimer": "Informational research data only — not investment advice."
  },
  "symbol": "BTC",
  "z_to_ma_20": 1.2,
  "z_to_ma_50": 0.8,
  "z_to_ma_200": 2.1,
  "half_life_days": 5.8,
  "is_mean_reverting": true,
  "ou_lambda_per_bar": 0.02,
  "reversion_probability": 0.23
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/carbon-cashmere-mean-reversion-analytics-btc-ed2fbffb/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.carbon-cashmere.de](https://www.zero.xyz/host/api.carbon-cashmere.de/llms.txt)