Hacker News: dragonmage65535

New comment by dragonmage65535 in "Claude Fable produced a counterexample to the Jacobian Conjecture"

dragonmage65535 — Mon, 20 Jul 2026 09:38:06 +0000

https://xcancel.com/i/article/2079135211196121363

can any serious mathematicians verify https://xcancel.com/i/article/2079135211196121363

New comment by dragonmage65535 in "Claude Fable produced a counterexample to the Jacobian Conjecture"

dragonmage65535 — Mon, 20 Jul 2026 08:02:57 +0000

Can someone validate this counterexample from gpt-5.6 sol

(-(1+xy)^2 z - y^3(1+xy), 2x(1+xy)z + (1+xy)^3 w + y^2(7+12xy+4x^2y^2), 2x^2z + 3x(1+xy)^2w + 2y(1+10xy+6x^2y^2), 2x - 4x^2y - x^3w): C^4 → C^4 has Jacobian determinant 4, and sends (-2,0,1,0) and (-1,0,1,-2), (1,−2,−7,14), (2,−1,0,3) to (-1,-4,8,-4)

https://xcancel.com/__alpoge__/status/2079091571316912542

New comment by dragonmage65535 in "Ask HN: Anyone using Claude Agent SDK in production?"

dragonmage65535 — Sat, 24 Jan 2026 03:18:37 +0000

Yeah, I'm also exploring the same, we use langgraph in production, but seeing how much more powerful claude code is with little guidance, I just have more trust on it, but the library right now is a library with a subprocess (claude code) and the tools also need to be served via MCP, not exactly light weight, and also it would be good to have more visibility. Did you find any good resources on this?