# MathML3 Elementary Stack Column Bindings Detector

> MathML3 Elementary Stack Column Bindings Detector is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).

Determines which MathML3 characters and atomic sub-expressions are assigned to the same symbolic column in an elementary math stack, distinguishing digit-column splits from whole sub-formula column assignments.

## Facts

- Endpoint: POST https://detect.halowerk.com/u/mathml3-elementary-stack-column-bindings?utm_source=zero.xyz
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-04
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/mathml3-elementary-stack-column-bindings-detector-824c9c67
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_U54vzKaMiQQ556GRr4eUv

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 mathml3-elementary-stack-column-bindings-detector-824c9c67 -d '<json body>'
```

Example prompt: Before I export this written arithmetic layout, can you analyze the MathML3 document at this URL and tell me which characters and sub-expressions are bound to the same symbolic column — specifically whether each assignment is a digit-column split or a whole sub-formula?

## When to prefer this

Use this endpoint when you need to analyze MathML3 elementary arithmetic stack layouts (mstack, mlongdiv) specifically for column binding semantics before export or rendering — particularly when you need to distinguish digit-column splits from full sub-formula column occupancy and map decimal anchors and place-value shifts to their symbolic columns. Prefer this over generic MathML parsers when the column-level structural analysis is the primary goal.

## Known failure modes

- URL is inaccessible or returns non-200 status — endpoint cannot fetch the MathML3 document
- URL points to non-MathML3 or invalid XML content — parsing fails with format error
- MathML3 document does not contain elementary stack operators (mstack/mlongdiv) — no column bindings found
- Malformed or deeply nested MathML3 structure — analysis may be incomplete or return partial results
- URL exceeds 2048 character limit — request rejected with validation error

## How this service works

Ermittelt vor dem Export einer schriftlichen Rechenanordnung, welche MathML3-Zeichen und atomaren Teilformeln durch Dezimalanker, Stellenverschiebungen und verschachtelte Reihengruppen derselben symbolischen Spalte zugeordnet sind; unterscheidet Ziffernspaltung von einer ganzen Teilformel in einer Spalte.

## Output

A structured breakdown of which MathML3 characters and atomic sub-expressions are bound to each symbolic column in the elementary stack, including decimal anchor assignments, place-value shifts, nested row group mappings, and a classification of each binding as either a digit-column split or a whole sub-formula column assignment.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "url": {
   "type": "string",
   "format": "uri",
   "maxLength": 2048
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/mathml3-elementary-stack-column-bindings-detector-824c9c67/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from detect.halowerk.com](https://www.zero.xyz/host/detect.halowerk.com/llms.txt)