vector_calculus_operation

THE RISK

High Risk

Why vector_calculus_operation needs a policy

This tool executes mathematical operations within a persistent SageMath session. While the described operations (gradient, divergence, curl, laplacian) are read-like in nature (computing mathematical results), they run code inside a live computation engine with persistent state, meaning side effects on session state are possible.

From the tool's definition 'Vector calculus operations: gradient, divergence, curl, laplacian' — performs mathematical computations using SageMath engine

Documented attack patterns abuse exactly the kind of access vector_calculus_operation gives an agent:

POLICY

How to control vector_calculus_operation

PolicyLayer is an MCP gateway — it sits between your AI agents and SageMath MCP Server, and nothing reaches the server without passing your rules. This is the rule we recommend for vector_calculus_operation:

policy.json

{
  "version": "1",
  "default": "deny",
  "tools": {
    "vector_calculus_operation": {
      "limits": [
        {
          "counter": "vector_calculus_operation_rate",
          "window": "minute",
          "max": 10,
          "scope": "grant"
        }
      ]
    }
  }
}

vector_calculus_operation stays usable, but rate-capped — a runaway agent can't fire it dozens of times a minute. Everything else on the server is denied unless you say otherwise.

Create a free account and register SageMath MCP Server — nothing to install.
Add this policy — paste it, or build it visually.
Point your MCP client (Claude, Cursor, anything) at your gateway URL.

RATE-LIMIT THIS TOOL →

Free to start. No card required.

EXPLORE

Related tools and policies

More SageMath MCP Server tools

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All 32 SageMath MCP Server tools →

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Go deeper

High-risk tools in SageMath MCP Server → Every high-risk tool this server exposes, in one view.
All high-risk MCP tools → Every high-risk tool across the catalogue, and the policy pattern that contains them.
The MCP Attack Database → Documented attack patterns against MCP deployments — and the policies that stop them.
Agent sandbox → Bounding what an agent can execute and where the boundary should sit.
Least privilege for MCP → Granting agents the minimum tool surface the task needs.
Rate Limiting MCP Tool Calls: A Practical Guide →
MCP Security: Why Prompt Guardrails Aren't Enough →

FAQ

Questions about vector_calculus_operation

What does the vector_calculus_operation tool do? +

Vector calculus operations: gradient, divergence, curl, laplacian. It is categorised as a Execute tool in the SageMath MCP Server MCP Server, which means it can trigger actions or run processes. Use rate limits and argument validation.

How do I enforce a policy on vector_calculus_operation? +

Register the SageMath MCP Server MCP server in PolicyLayer and add a rule for vector_calculus_operation: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches SageMath MCP Server. Nothing to install.

What risk level is vector_calculus_operation? +

vector_calculus_operation is a Execute tool with high risk. Execute tools should be rate-limited and have argument validation enabled.

Can I rate-limit vector_calculus_operation? +

Yes. Add a rate_limit block to the vector_calculus_operation rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.

How do I block vector_calculus_operation completely? +

Set action: deny in the PolicyLayer policy for vector_calculus_operation. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.

What MCP server provides vector_calculus_operation? +

vector_calculus_operation is provided by the SageMath MCP Server MCP server (xbp-europe/sagemath-mcp). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.

Enforce policy on every SageMath MCP Server tool call.

Start from SageMath MCP Server, add the rest of your stack, and see everything your agents can call. Then put policy on all of it.

CHECK YOUR STACK →