# Equation.io (remote · equation.io)

Create interactive 2D and 3D graphs with validated equations, shareable links, and PNG previews.

- Trust score: 71/100 (medium)
- Change this week: 0
- Registry status: active
- Liveness: live
- Owner verified: no
- Last scored: 2026-09-27

## Components

- remote · `equation.io`: 71/100 (this document), [markdown](https://verifymcp.io/servers/io-equation-equation/equation.md), [page](https://verifymcp.io/servers/io-equation-equation/equation)

## Channel facts

- Endpoint: `https://equation.io/mcp`
- Transports: `streamable-http`
- Auth: `none`
- Version: `1.0.0`

## Trust breakdown

How this component scores in each security and reliability category. Every signal is checked automatically against the live server, and we only credit what we can confirm. Scores are 0–100 per category. Scoring method: https://verifymcp.io/docs/scoring (what has changed: https://verifymcp.io/docs/scoring/changelog)

Scored 2026-09-27.

- **Endpoint Security**: 83/100
  - The endpoint's TLS certificate is valid, in date, and uses a strong key.
  - No authorisation is required to call this server. Every tool declares its destructiveHint and none is destructive, so open access doesn't expose one.
  - HTTPS is enforced; there's no plaintext access path.
  - The HSTS (Strict-Transport-Security) header is present.
  - DNSSEC is configured correctly; the domain's records validate against the full chain to the root.
- **Transport & Reachability**: 100/100
  - Verified streamable-http transport via a live MCP handshake.
- **Schema Quality & AI Usability**: 63/100
  - 50% of prompts and resources have a non-trivial description (not blank, and not just the item's name).
  - AI-judged instruction clarity (excellent).
  - Context-footprint check failed: tool/resource definitions use about 938 tokens (~187/item across 5 items; 3 tools + 2 resources), over budget; trim descriptions and params.
  - Usage-examples check failed: none of the tools include examples.
- **Stability & Change Management**: 0/100
  - Stability check failed: schema churn in the 13 days we've observed: 2 tool removals, 0 breaking changes, 0 auth/transport breaks, 3 additions.
- **Tool Coverage**: 100/100
  - 100% of tools have a non-trivial description (not blank, and not just the tool's name).
  - 100% of tool parameters carry a description.
  - Structured output schemas are declared (100% of tools); any adoption earns full credit.
- **Tool Safety**: 100/100
  - No prompt-injection markers were found in the server instructions, tool names or descriptions we captured.
  - We read all 3 captured tool definition(s), and no name or description among them implies an irreversible operation.
  - An AI judge read all 5 captured unit(s) of tool text and found none that tries to manipulate the model reading it.
- **Capabilities**: 73/100
  - Spec-recency check failed: implements MCP spec 2025-06-18; the latest is 2026-07-28.
  - Supports UI / widget rendering.

## Install

### How do I install the Equation.io MCP server?

Equation.io is a hosted endpoint at https://equation.io/mcp, so there is nothing to install locally. Ready-made configuration for Claude, Cursor, VS Code, Codex and 5 more is on this page, copied from each client's own documentation.

### Claude

```bash
claude mcp add --transport http io-equation-equation 'https://equation.io/mcp'
```

### Cursor

```json
{
  "mcpServers": {
    "io-equation-equation": {
      "url": "https://equation.io/mcp"
    }
  }
}
```

### VS Code

```json
{
  "servers": {
    "io-equation-equation": {
      "type": "http",
      "url": "https://equation.io/mcp"
    }
  }
}
```

### Codex

```toml
[mcp_servers.io-equation-equation]
url = "https://equation.io/mcp"
```

### opencode

```json
{
  "$schema": "https://opencode.ai/config.json",
  "mcp": {
    "io-equation-equation": {
      "type": "remote",
      "url": "https://equation.io/mcp",
      "enabled": true
    }
  }
}
```

### OpenClaw

```bash
openclaw mcp add io-equation-equation --url 'https://equation.io/mcp' --transport streamable-http
```

### Hermes

```yaml
mcp_servers:
  io-equation-equation:
    url: "https://equation.io/mcp"
```

### Netclaw

```json
{
  "McpServers": {
    "io-equation-equation": {
      "Transport": "http",
      "Url": "https://equation.io/mcp"
    }
  }
}
```

### Vellum

```bash
assistant mcp add io-equation-equation -t streamable-http -u 'https://equation.io/mcp'
```

### Other

```json
{
  "mcpServers": {
    "io-equation-equation": {
      "type": "http",
      "url": "https://equation.io/mcp"
    }
  }
}
```

The mcpServers block is a cross-client convention. Remote transports vary, so check your client's docs.

## Changelog

Every change recorded for this component, newest first. Days that predate change tracking, or that we cannot explain, say so: "we were watching and nothing happened" and "we were not watching" are different claims.

### 2026-09-27 (score 71, 0)

- [security] Tool “encode_graph_url” rewrote its description, which is the text the model reads

### 2026-09-25 (score 71, 0)

- [functional] We updated how we score, so this day's move reflects our rubric, not a change to the server

### 2026-09-24 (score 71, 0)

- [security] Tool “encode_graph_url” rewrote its description, which is the text the model reads

### 2026-09-21 (score 71, 0)

- [security] Tool “show_graph” rewrote its description, which is the text the model reads

### 2026-09-20 (score 71, −1)

- [security] Resource “graph” now points somewhere else: ui://equation/graph-v1.html → ui://equation/graph-v2.html
- [security] Tool “decode_graph_url” rewrote its description, which is the text the model reads
- [security] Tool “encode_graph_url” rewrote its description, which is the text the model reads
- [security] Tool “show_graph” rewrote its description, which is the text the model reads

### 2026-09-15 (score 72, +5)

- [security regression] Stability: unverified → fail
- [security regression] A breaking change shipped without a version bump: still 1.0.0
- [security regression] Tool “create_graph” was removed
- [security regression] Tool “read_graph” was removed
- [security improvement] Authorization: unverified → partial
- [security] The server rewrote its instructions, which are the text every model session reads
- [functional regression] Schema quality: 100% → 50%
- [functional improvement] Schema quality: 230 → 172
- [functional] First check of Capabilities: pass
- [functional] First check of Tool coverage: 100
- [functional] New resource “graph”
- [functional] New tool “decode_graph_url”
- [functional] New tool “encode_graph_url”
- [functional] New tool “show_graph”

### 2026-09-14 (score 67)

First indexed and scored.

## MCP tools (3)

### `encode_graph_url` (~482 tokens)

Create a graph link

Build an equation.io graph link, validating every row with the app's parser. Pass the COMPLETE graph in "equations": a flat array of strings, one equation or definition per string, in display order — when editing an existing graph (see decode_graph_url), include unchanged rows too.

Rows can be: equations and inequalities in x,y (curves, regions; z makes it 3D), bare expressions in x, y (scalar fields — a curve is written y = f(x); complex plots via w), points (rows report "draggable"), parametric tuples in u,v — and definitions: "a = 2" (a draggable slider), "f(x) = x^3 - a x", coordinate fields like "r = sqrt(x^2+y^2)" for polar. t animates. Also derivatives d/dx, integrals int[a..b] f dx, sums sum[n=1..N], domain()/conformal()/iter() for complex plots, rgb()/hsl()/oklch() color fields, y' = … slope fields, random variables "X ~ Normal(m, s)"/"P(0<X<2)"/"E(X^2)", and "view(x = -5..5, y = -2..2)"/"camera(theta, phi)" framing rows. That is a menu, not the syntax: before your first non-trivial graph, read the "syntax" MCP resource (also at https://equation.io/llms.txt).

The result returns text and structured data only. "rows" gives each equation's validation result: status "ok" with its kind, or "error" with the parser message. The link is usable only once every row is "ok". Give users the share_url (it unfurls to a preview card in chat apps); url is the equivalent #-fragment form. "preview" and "preview_omits" describe the share link's simplified static preview (t = 0, 3D as wireframes), which draws less than the interactive app. No image is attached to the tool response.

Input parameters:

- `equations` (array, required): Every equation in the graph, in display order. One equation or definition per string — do not join rows with ";" (inside quoted text a ";" is data, and kept).

Output parameters:

- `preview` (string): Static preview availability and limitations.
- `preview_omits` (array)
- `rows` (array)
- `share_url` (string): Shareable /g/ graph URL.
- `url` (string): Graph URL using a #-fragment.
- `valid` (boolean)

### `decode_graph_url` (~90 tokens)

Read a graph link

Decode an equation.io link (either the #-fragment form or the /g/ share form) into its list of equation rows, so you can edit them and build a new link with encode_graph_url. The rows use the equation.io syntax documented in the "syntax" MCP resource (also at https://equation.io/llms.txt).

Input parameters:

- `url` (string, required): An equation.io graph URL.

Output parameters:

- `equations` (array)

### `show_graph` (~205 tokens)

Show an interactive graph

Display an interactive equation.io graph inside the conversation, with editable equations, sliders, pan/zoom, and 3D rotation. Use when the user asks to see or explore a graph. Pass the COMPLETE graph as "equations", one equation or definition per string, preserving unchanged rows when editing. For a slider use "a = 2" then "y = a sin(x)". For advanced syntax read the "syntax" resource (https://equation.io/llms.txt). Returns per-row validation and share links; a row with status "error" is not drawn until its text is corrected and the graph resubmitted. Use encode_graph_url for validation or link-only requests (including share-link preview notes). In clients without UI support, provide share_url.

Input parameters:

- `equations` (array, required): Every equation in the graph, in display order. One equation or definition per string — do not join rows with ";" (inside quoted text a ";" is data, and kept).

Output parameters:

- `rows` (array)
- `share_url` (string): Shareable /g/ graph URL.
- `url` (string): Graph URL using a #-fragment.
- `valid` (boolean)

## Diagnostics

Captured diagnostic sections: TLS, DNSSEC, Authorisation, Transports. The full working is on the page: https://verifymcp.io/servers/io-equation-equation/equation#diagnostics

## Score history

- 2026-09-27: 71
- 2026-09-26: 71
- 2026-09-25: 71
- 2026-09-24: 71
- 2026-09-23: 71
- 2026-09-22: 71
- 2026-09-21: 71
- 2026-09-20: 71
- 2026-09-19: 72
- 2026-09-18: 72
- 2026-09-17: 72
- 2026-09-16: 72
- 2026-09-15: 72
- 2026-09-14: 67

## Common questions

### What is the Equation.io MCP server?

Equation.io is an MCP server listed in the public MCP registry as io.equation/equation. Create interactive 2D and 3D graphs with validated equations, shareable links, and PNG previews. This page covers its hosted endpoint (https://equation.io/mcp).

### Is the Equation.io MCP server safe to use?

Equation.io scores 71 out of 100 on VerifyMCP. That is a record of what we were able to check automatically, not an endorsement. The category breakdown on this page shows every signal behind the number, including the ones we could not confirm.

### What tools does the Equation.io MCP server expose?

Equation.io exposes 3 tools: encode_graph_url, decode_graph_url, show_graph. Their descriptions and schemas cost roughly 777 tokens of context every time the server is loaded.

### Does the Equation.io MCP server require authentication?

No. We connected to Equation.io without credentials and it answered, so anything it exposes is reachable by anyone who knows the address.

### Is the Equation.io MCP server still maintained?

Equation.io is still listed as active in the MCP registry. We last reached this channel on 27 September 2026. Those dates come from our own scans of the registry and the channel itself, not from anything the publisher announced.

## Links

- Remote endpoint: https://equation.io/mcp
- Repository: https://github.com/aantthony/equation.io
- Website: https://equation.io/
- Changelog RSS feed: https://verifymcp.io/servers/io-equation-equation/equation.xml
- Changelog JSON feed: https://verifymcp.io/servers/io-equation-equation/equation.json
- HTML version of this page: https://verifymcp.io/servers/io-equation-equation/equation
