A tool returning a non-finite float puts invalid JSON in the text content block

Initial Checks

• I confirm that I'm using the newest release of my line (the latest 2.x, or the latest 1.x if I'm still on v1)
• I confirm that I searched for my issue in https://github.com/modelcontextprotocol/python-sdk/issues before opening this issue

Release line

2.x (current stable), and it reproduces on the latest 1.x too.

Description

This is a different code path from #3341, which I filed for the structured-output case. Same input, different failure, and the two behave inconsistently with each other, so I am reporting it separately. Happy to fold it into #3341 if you would rather track them together.

When a tool has no return annotation, no output schema is generated and the result is rendered to a text block by pydantic_core.to_json(result, fallback=str, indent=2) (func_metadata.py:669 on 2.1.0). to_json writes non-finite floats as the bare tokens NaN and Infinity. RFC 8259 does not allow either, so the text block is not valid JSON. is_error is False, so the call reports success.

The text block sent to the client:

{
  "mean": 1.5,
  "stddev": NaN,
  "max": Infinity
}

Python's json.loads accepts this, because it is lenient about those tokens by default. A spec-compliant parser does not. Node:

> JSON.parse('{"mean":1.5,"stddev":NaN,"max":Infinity}')
SyntaxError: Unexpected token 'N', ..."stddev":NaN,"max":"... is not valid JSON

So the same tool result is readable from a Python client and breaks a TypeScript one.

What I expected: a text content block holding JSON should be parseable by any JSON parser, or the SDK should fail at the server with an error that names the serialisation problem.

Worth noting alongside #3341: for the same input, the structured path silently converts the value to null and the text path emits invalid JSON. Whatever the fix is, it would be good if those two agreed.

The same to_json(..., fallback=str, indent=2) call is used in resources/types.py:103, and prompts/base.py:206 follows the same pattern, so the fix probably wants to cover those too.

Example Code

import json
import math

import anyio
from mcp.client.client import Client
from mcp.server.mcpserver import MCPServer

server = MCPServer("stats")


@server.tool()
def summarise():
    """No return annotation, so the result goes out as a text block."""
    return {"mean": 1.5, "stddev": math.nan, "max": math.inf}


async def main() -> None:
    async with Client(server) as client:
        result = await client.call_tool("summarise")
        text = result.content[0].text
        print("is_error:", result.is_error)
        print("text block:", text)
        # Reject NaN/Infinity the way a spec-compliant parser does.
        json.loads(text, parse_constant=lambda c: (_ for _ in ()).throw(ValueError(f"invalid JSON token: {c}")))


anyio.run(main)

Output:

is_error: False
text block: {
  "mean": 1.5,
  "stddev": NaN,
  "max": Infinity
}
ValueError: invalid JSON token: NaN

Python & MCP Python SDK

Python 3.13.11, Linux.

mcp 2.1.0  (latest 2.x): func_metadata.py:669
mcp 1.29.1 (latest 1.x): fastmcp/utilities/func_metadata.py:558
Also reproduces on main at d8b63830.

Reported with AI assistance; I ran the reproduction above and read the output.

从 func_metadata.py:669 开始，此处 pydantic_core.to_json 会渲染未标注的工具结果，并将相同调用与 resources/types.py:103 和 prompts/base.py:206 中的调用进行比较。检查 #3341 中描述的结构化输出行为。当非有限值不再生成无效 JSON，或服务器报告序列化错误，且受影响的路径行为一致时，即视为完成。