# Saylor Innovations Radioactive Decay Calculator

> Saylor Innovations Radioactive Decay Calculator is a paid API for AI agents from saylorinnovations.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-17).

Calculates remaining amount of a radioactive substance after a given elapsed time, given initial amount and half-life, returning decay constant, decayed amount, and related metrics

## Facts

- Endpoint: GET https://saylorinnovations.com/api/radiation/decay?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-17
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/saylor-innovations-radioactive-decay-calculator-fc130935
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_tyZxj_fp4oP1NnX5QOtgh

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 saylor-innovations-radioactive-decay-calculator-fc130935
```

Example prompt: Calculate how much of a 1000-gram sample of Carbon-14 remains after 5730 years, given its half-life is 5730 years — give me the remaining amount, decayed amount, and decay constant in years.

## When to prefer this

Use this endpoint when you need a precise, formula-based radioactive decay calculation with full output including decay constant, mean lifetime, and remaining fraction — especially useful in scientific, educational, nuclear medicine, or environmental modeling contexts where all decay parameters are known and a structured JSON result with the underlying formula is needed.

## Known failure modes

- Missing required query parameters (initial, half_life, elapsed, unit) returns an error
- Non-numeric or zero/negative values for initial or half_life cause validation failure
- Negative elapsed time is rejected
- Extremely large or small numbers may cause precision issues
- Invalid or overly long unit strings may be rejected
- Payment failure returns 402 status requiring x402 protocol payment

## How this service works

Radioactive decay calculator from initial amount, half-life and elapsed time - remaining amount and decay constant

## Output

Returns a JSON object with the initial amount, half-life, elapsed time, unit, number of half-lives elapsed, remaining amount, decayed amount, remaining percentage, remaining fraction, decay constant per unit, mean lifetime, and the mathematical formula used for the calculation, along with a scope note explaining coverage and limitations.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "$schema": "https://json-schema.org/draft/2020-12/schema",
 "required": [
  "input"
 ],
 "properties": {
  "input": {
   "type": "object",
   "required": [
    "type",
    "method"
   ],
   "properties": {
    "type": {
     "type": "string",
     "const": "http"
    },
    "method": {
     "enum": [
      "GET",
      "POST",
      "PUT",
      "PATCH",
      "DELETE",
      "HEAD"
     ],
     "type": "string"
    },
    "queryParams": {
     "type": "object",
     "required": [
      "initial",
      "half_life",
      "elapsed",
      "unit"
     ],
     "properties": {
      "unit": {
       "type": "string",
       "description": "required unit label, 1-24 letters such as seconds, days, or years; use consistently (query)"
      },
      "elapsed": {
       "type": "string",
       "description": "required finite number greater than or equal to 0 (query)"
      },
      "initial": {
       "type": "string",
       "description": "required finite number greater than 0 (query)"
      },
      "half_life": {
       "type": "string",
       "description": "required finite number greater than 0 (query)"
      }
     }
    }
   },
   "additionalProperties": false
  },
  "output": {
   "type": "object",
   "required": [
    "type"
   ],
   "properties": {
    "type": {
     "type": "string",
     "const": "json"
    },
    "example": {
     "type": "object",
     "required": [
      "initial_amount",
      "half_life",
      "elapsed",
      "unit",
      "half_lives_elapsed",
      "remaining_amount",
      "decayed_amount",
      "remaining_percent",
      "scope_note"
     ],
     "properties": {
      "unit": {
       "type": "string",
       "description": "Unit of measure"
      },
      "elapsed": {
       "type": "number"
      },
      "formula": {
       "type": "string",
       "description": "Formula used for the calculation"
      },
      "half_life": {
       "type": "number",
       "description": "Half life"
      },
      "scope_note": {
       "type": "string",
       "description": "What this data covers and what it leaves out"
      },
      "mean_lifetime": {
       "type": "number",
       "description": "Mean lifetime"
      },
      "decayed_amount": {
       "type": "number",
       "description": "Decayed amount"
      },
      "initial_amount": {
       "type": "number",
       "description": "Initial amount"
      },
      "remaining_amount": {
       "type": "number",
       "description": "Remaining amount
… (truncated)
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/saylor-innovations-radioactive-decay-calculator-fc130935/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from saylorinnovations.com](https://www.zero.xyz/host/saylorinnovations.com/llms.txt)