Koskamo

Affine.Earth MCP MCP server

An MCP server for the Affine.Earth UUM-8D substrate that provides access to a 'Math Court' for integer-based geometric proofs and lattice computations. It supports streaming HTTP JSON-RPC 2.0 connections, allowing agents to interact with the sovereign code IDE and verify algorithms on the manifold.

Endpoint and access

No sign-in: your client connects and lists tools immediately, with no account or key.

No sign-inEndpoint checked 2026-10-05Operated by Affine.Earth
MCP endpoint (Streamable HTTP)
https://affine.earth/language-invariant/mcp
Vendor documentation

What you can do with it

  • Submit integer geometric proofs to the Math Court
  • Access live lattice endpoints for algorithm verification
  • Connect to the UUM-8D substrate via JSON-RPC 2.0
  • Retrieve public catalogs of games and MCP tools
Tools advertised by the last live check:
  • affine_translate_text
  • atc.assert_4d_deconfliction
  • bond_presented_key
  • code_ir_equiv
  • corpus_bonds
  • corpus_capability_map
  • corpus_coverage
  • critique_frame
  • execute_2local_hamiltonian
  • execute_artifact_crucible
  • execute_exact_permanent
  • execute_transition
  • expose
  • feeds_catalog
  • game_frame_meta
  • ide_rebuild_mesh
  • lattice_op
  • math_court
  • membrane_health
  • noaa_goes_r_weather
  • project_affine_key
  • project_shor_twin
  • route_spin_glass_manifold
  • twin.robotics.evaluate_exact_ik
  • umc_direct
  • umc_resume
  • umc_status
  • verify_amplitude_amplification
  • verify_amplitude_estimation
  • verify_bell_measurement
  • verify_bernstein_vazirani
  • verify_deutsch_jozsa
  • verify_grover
  • verify_hhl
  • verify_jordan_bond
  • verify_n_representability
  • verify_period
  • verify_phase_kickback
  • verify_presented_pair
  • verify_qaoa_energy
  • verify_qft_phases
  • verify_qpe_phase
  • verify_quantum_counting
  • verify_quantum_walk
  • verify_shor_witness
  • verify_simon
  • verify_superdense
  • verify_teleport
  • verify_topological_word
  • verify_vqe_energy
  • weather.convective_containment

Connect from your client

Each snippet registers the same endpoint; pick the client you use.

This server is operated by the named third party. Listing and endpoint checks are not an endorsement or a security audit. Review the operator's permissions, terms, and data handling before connecting. How listings are checked and corrected.

Claude Code

Run this once in a terminal. It registers a Streamable HTTP server. Use --scope project to write .mcp.json for the repo.
Claude Code configuration
claude mcp add --transport http affine-earth-mcp https://affine.earth/language-invariant/mcp

Codex

Run this once. Codex stores MCP servers in ~/.codex/config.toml (or .codex/config.toml in a trusted project).
Codex configuration
codex mcp add affine-earth-mcp --url https://affine.earth/language-invariant/mcp

Cursor

Merge this server into .cursor/mcp.json in your project, then enable affine-earth-mcp in your MCP settings.
Cursor configuration
{
  "mcpServers": {
    "affine-earth-mcp": {
      "url": "https://affine.earth/language-invariant/mcp"
    }
  }
}

Cline

Merge this into cline_mcp_settings.json (Cline → MCP Servers → Configure). The type must be streamableHttp for a remote HTTP server.
Cline configuration
{
  "mcpServers": {
    "affine-earth-mcp": {
      "type": "streamableHttp",
      "url": "https://affine.earth/language-invariant/mcp",
      "disabled": false
    }
  }
}

VS Code

Merge this server into .vscode/mcp.json. Use MCP: List Servers to start affine-earth-mcp and inspect its tools.
VS Code configuration
{
  "servers": {
    "affine-earth-mcp": {
      "type": "http",
      "url": "https://affine.earth/language-invariant/mcp"
    }
  }
}

Gemini CLI

Run this once. It writes .gemini/settings.json in the current project; pass --scope user for ~/.gemini/settings.json.
Gemini CLI configuration
gemini mcp add --transport http affine-earth-mcp https://affine.earth/language-invariant/mcp

Claude Desktop

Merge this into claude_desktop_config.json (macOS: ~/Library/Application Support/Claude/, Windows: %APPDATA%\Claude\), then restart Claude Desktop.
Claude Desktop configuration
{
  "mcpServers": {
    "affine-earth-mcp": {
      "url": "https://affine.earth/language-invariant/mcp"
    }
  }
}

Windsurf

Merge this into ~/.codeium/windsurf/mcp_config.json, then refresh MCP in Cascade. Windsurf remote servers use serverUrl, not url.
Windsurf configuration
{
  "mcpServers": {
    "affine-earth-mcp": {
      "serverUrl": "https://affine.earth/language-invariant/mcp"
    }
  }
}

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