The gist
Harmonic (Aristotle) announced in December 2025 a solution to Erdős problem #1026, written in Lean; the literature only matches it after an argument from 1959. Status not yet evaluated.
DiscoverIA status on October 11, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-1026-aristotle-r1
@misc{discoveria-erdos-1026-aristotle-r1,
author = {{DiscoverIA}},
title = {Erdős #1026: Lean solution by Aristotle},
howpublished = {DiscoverIA registry, entry erdos-1026-aristotle},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1026-aristotle#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
Lean is a language in which software checks every step of a proof. If the solution holds, it would be an example of an AI producing a machine-checkable proof in combinatorics; how much it adds depends on what the literature already contained.
What remains unclear
The Lean file comes from the claimant only and no third party is named. According to the entry's title, the result of Tidor, Wang and Yang (2016) only matches the question after an argument by Seidenberg (1959); the record does not say how much is new.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read through an AI summary (level 2 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.compage read through an AI summary
Method
DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from github.com (page read through a model summary, quotation not rechecked).
Limits
The status source was read through a model summary; its quotation was not rechecked. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- Harmonic (Aristotle)
announced on Dec 7, 2025 - Nature
- new result
- Field
- Mathematics (combinatorics)
- Checked by
- no verifier identified
- Sources
- 1 : 1 through an AI summary
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
An observation is added; none is ever erased.
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.