# Burned Token Fraction — Local Finite-Change Elasticity

> Burned Token Fraction — Local Finite-Change Elasticity is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-11).

Computes the local finite-change elasticity of the reported burned token fraction given a baseline token supply and a step percentage.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-token-burned-supply-elasticity?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-11
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/burned-token-fraction-local-finite-change-elasticity-bfad6f7d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_DZbcrZFsizHEOT_bYhbMY

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 burned-token-fraction-local-finite-change-elasticity-bfad6f7d -d '<json body>'
```

Example prompt: Can you calculate the local finite-change elasticity of the burned token fraction for a token with 150,000 burned tokens and 3,000,000 issued tokens, using a 1% step size?

## When to prefer this

Choose this endpoint when you need a deterministic, mathematical elasticity measure for the burned token fraction at a specific baseline — not a live scan or trading signal. Ideal for tokenomics modeling, protocol analytics dashboards, or sensitivity analysis workflows where you supply your own observed token counts and want a bounded finite-change elasticity coefficient.

## Known failure modes

- issued_tokens set to zero or missing will violate exclusiveMinimum constraint and return validation error
- step_percent outside the 0.01–10 range will be rejected
- burned_tokens or issued_tokens exceeding 1e16 maximum will fail schema validation
- Malformed JSON body returns 400-level error
- Invalid field enum value (anything other than 'burned_tokens' or 'issued_tokens') will be rejected

## How this service works

Reported burned token fraction — Local finite-change elasticity: Local finite-change elasticity for Reported burned token fraction. Supplied token observations only. Deterministic calculation or caller-threshold verdict, not a live scan, safety proof or trade recommendation. Specialised preset in a shared 50-profile, 20-operation engine. 0.01 USDC includes one bounded local finite-change elasticity report.

## Output

A bounded local finite-change elasticity report for the burned token fraction, showing how the ratio of burned-to-issued tokens responds to a small percentage-point perturbation at the given baseline. The result is deterministic and based solely on the supplied token observations, not live market data.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "field": {
   "enum": [
    "burned_tokens",
    "issued_tokens"
   ],
   "type": "string",
   "default": "burned_tokens"
  },
  "baseline": {
   "type": "object",
   "default": {
    "burned_tokens": 100000,
    "issued_tokens": 2000000
   },
   "required": [
    "burned_tokens",
    "issued_tokens"
   ],
   "properties": {
    "burned_tokens": {
     "type": "number",
     "default": 100000,
     "maximum": 10000000000000000,
     "minimum": 0
    },
    "issued_tokens": {
     "type": "number",
     "default": 2000000,
     "maximum": 10000000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    }
   },
   "additionalProperties": false
  },
  "step_percent": {
   "type": "number",
   "default": 1,
   "maximum": 10,
   "minimum": 0.01
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/burned-token-fraction-local-finite-change-elasticity-bfad6f7d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from market.datapackvibe.com](https://www.zero.xyz/host/market.datapackvibe.com/llms.txt)