What is recorded here?
A ULAM-hosted note displays a polynomial map in three variables and claims a constant Jacobian determinant of −2 with three distinct rational points sharing one image. Anthropic separately attributes a result linked to the same announcement to Claude.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
Recorded as a candidate proof. WRS’s bounded exact calculations are available separately and do not automatically promote the entire paper’s scientific status. The hosted note has no displayed author byline; Alpöge is its cited announcer and Mathew its cited question originator, not asserted paper authors. The exact Claude model is unspecified, and provider reporting is not execution attestation. This is not one of the seven Millennium problems and must be distinguished from positive-characteristic variants.
Read the original work
- A Counterexample to the Jacobian Conjecture, ULAM-hosted note dated July 20, 2026; no author byline displayed
- Anthropic, Learning more about Claude’s mathematical capabilities, footnote 2 (August 2026)
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
Levent Alpöge; Akhil Mathew
Announcement and problem roles, not a manuscript byline The recorded author list is incomplete.
Claude · Anthropic · Not disclosed
Candidate-result generation (provider reported; precise model and execution receipt unavailable). Source-reported attribution; provider attestation is unavailable.
Research locations and affiliations
Location not yet established
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English catalogue narrative
Claude-linked Jacobian candidate: an explicit map in dimension three
A ULAM-hosted note displays a polynomial map in three variables and claims a constant Jacobian determinant of −2 with three distinct rational points sharing one image. Anthropic separately attributes a result linked to the same announcement to Claude.
Scientific scope
Recorded as a candidate proof. WRS’s bounded exact calculations are available separately and do not automatically promote the entire paper’s scientific status. The hosted note has no displayed author byline; Alpöge is its cited announcer and Mathew its cited question originator, not asserted paper authors. The exact Claude model is unspecified, and provider reporting is not execution attestation. This is not one of the seven Millennium problems and must be distinguished from positive-characteristic variants.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Levent Alpöge; Akhil Mathew
Announcement and problem roles, not a manuscript byline
Claude / Anthropic / Not disclosed: Candidate-result generation (provider reported; precise model and execution receipt unavailable) (source reported).