Currently, big providers like OpenAI and Anthropic don't provide a way to sync conversations across different platforms. Your chat histories are fragmented in two ways:
Provider fragmentation
You can't start a chat in ChatGPT and continue it in Claude.
Client fragmentation
You can't create a chat in ChatGPT and then reference it in Codex.
Specially the second one, referencing a chat from a web UI inside of the terminal is something I would also love. So I started to build OpenChat. My idea is to build towards a protocol spec. But for now, it's a browser extension that can intercept chats from ChatGPT and Claude and store them locally in your browser automatically. Then using an MCP server, it exposes the chats as resources you can reference directly in Claude Code or Codex. I think that's pretty powerful.
Here's the link if anyone's interested. Contributions and feedback are very welcome.
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