Astra reports 10 Lean-formalized mathematics results
Astra/OpenAI was recorded in the original Pulse as producing 10 mathematical results formalized in Lean, triggering the largest early ASI forecast revision in the archive.
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EVIDENCE REGISTER
A chronological register of published signals. Source class, verification state, evidence quality and relevance remain visible before interpretation.
Astra/OpenAI was recorded in the original Pulse as producing 10 mathematical results formalized in Lean, triggering the largest early ASI forecast revision in the archive.
Levent Alpöge announced an explicit polynomial self-map of C^3 with constant nonzero Jacobian determinant that is not injective, refuting the Jacobian Conjecture for dimensions n≥3. Alpöge explicitly credited Claude Fable 5 with work leading to the counterexample. The result was rapidly independently checked in exact arithmetic and formally verified in Isabelle/HOL and Lean-derived work. The two-dimensional case remains open.
Colin Defant's revised paper on the MacNeille completion of Bruhat order proves a conjecture of Escobar, Klein and Weigandt and gives a counterexample to a conjecture of Hamaker and Reiner. The abstract states that those two results were obtained autonomously by ChatGPT 5.4 Pro and presents the paper as a case study in LLM-automated mathematical research. The underlying paper was first submitted in May and revised September 6; the recovered revision is primary-source confirmed but not independently externally reproduced.