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Connect Permutation Cycle Decomposer to ChatGPT and Claude

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Handle complex group theory and algebraic calculations instantly.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

A futuristic MCP client docking bay
V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Permutation Cycle Decomposer.

  1. 01

    Analyze properties

    This capability calculates specific mathematical characteristics of a permutation. It finds things like cycle lengths, parity, and order.

  2. 02

    Calculate inverse

    This capability generates the inverse of your chosen permutation. It reverses the mapping of the original sequence.

  3. 03

    Convert notation

    This capability transforms permutations between one-line and disjoint-cycle representations. It's useful for changing how you view the data.

  4. 04

    Validate permutation

    This capability checks if a sequence is a mathematically valid permutation. It ensures the sequence is a proper bijection.

Real work

What teams actually run

01

Group Theory Research

Use the agent to quickly find the properties of large permutations.

02

Combinatorics Problems

Convert between different notation styles to simplify complex problems.

03

Algorithm Verification

Check if a generated sequence is a valid permutation before using it in code.

04

Algebraic Homework

Get the inverse of a permutation to check your manual work.

One connector, every AI

Permutation Cycle Decomposer works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Permutation Cycle Decomposer to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

904ms average. Fast in production.

Permutation Cycle Decomposer is checked daily against the live service.

Daily averagePeak 978ms
Oct 15Today
Fastest day
758ms
Slowest day
978ms
14-day trend
Slowing+29%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Permutation Cycle Decomposer, so you can see the experience inside your AI.

It does not authenticate your account with Permutation Cycle Decomposer. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Permutation Cycle Decomposer Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_tSPqHPjiTwJjiNJCTFuQTjz35zF11AZTlYWj2fb2/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Permutation Cycle Decomposer capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "permutation-cycle-decomposer-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_tSPqHPjiTwJjiNJCTFuQTjz35zF11AZTlYWj2fb2/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Permutation Cycle Decomposer in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Permutation Cycle Decomposer owners hand off.

This is designed for anyone performing algebraic or combinatorial computations.

  • 01

    Mathematicians

    Hand off tedious notation conversions and property checks to the agent.

  • 02

    Computer Science Students

    Use the agent to verify homework solutions or group theory proofs.

  • 03

    Researchers

    Delegate the calculation of permutation orders and parities during data analysis.

FAQ

Questions Permutation Cycle Decomposer owners ask.

  • 01

    What can this MCP do with permutations?

    It converts notation, calculates inverses, validates bijections, and analyzes properties like parity and order.

  • 02

    Which AI clients can use this MCP?

    You can use it with any MCP-compatible client like Claude, Cursor, Windsurf, or VS Code.

  • 03

    Do I need to host the MCP myself?

    No, Vinkius hosts and manages the MCP for you, so it is ready to use immediately after connection.

  • 04

    Can it check if a sequence is a valid permutation?

    Yes, the validate_permutation capability specifically checks if a sequence is a mathematically valid bijection.

  • 05

    How does it handle different notation styles?

    The convert_notation capability allows you to switch between one-line and disjoint-cycle notation.

  • 06

    How do I convert a permutation to cycle notation?

    You can use the convert_notation capability by providing the one-line notation as a JSON stringified array and setting the notation type to 'cycle'.

  • 07

    Can I check if a sequence is a valid permutation?

    Yes, the validate_permutation capability checks if a sequence is bijective and identifies any missing elements or duplicates.

  • 08

    What mathematical properties can be calculated?

    The analyze_properties capability calculates the order, parity, number of fixed points, and the lengths of all disjoint cycles.

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