Contested
Erdős problem #1040: solution to one part of the problem, the other part judged incorrect by the wiki (Aletheia)
The gist
According to the wiki of AI contributions to Erdős problems, Aletheia (contribution of February 1, 2026) reportedly solved one part of problem #1040 and wrongly solved the other.
DiscoverIA status on October 12, 2026: contested, meaning sourced public objection, with no established refutation.
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
The status has changed 1 times since Oct 12, 2026: a citation always points to a dated snapshot. Cite an earlier snapshot
Cite snapshot 2, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-1040-aletheia-1a-r2
@misc{discoveria-erdos-1040-aletheia-1a-r2,
author = {{DiscoverIA}},
title = {Erdős problem #1040: solution to one part of the problem, the other part judged incorrect by the wiki (Aletheia)},
howpublished = {DiscoverIA registry, entry erdos-1040-aletheia-1a},
note = {Status “Contested”, snapshot 2, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1040-aletheia-1a#releve-2},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
Problem #1040, a question in analysis, was listed as open (informal_status=open) on erdosproblems.com as of October 12, 2026. If the part not marked incorrect held, only part of the problem would be solved.
What remains unclear
The wiki flags in red the solution to one of the two parts, without saying which, and the sources read name no verifier. The wiki has been frozen since June 30, 2026, so a correction published since then would not appear there.
For experts
Sources, method, key facts, status history, report an error
Status
Contested
Recorded on · github.com · wiki
Outside the verification path
What this status means
Source reading : Source read word for word (level 3 of 3)
Sourced public objection, with no established refutation.
It stays “Contested” until a refutation is established. It would become “Withdrawn” if its author withdrew it or the reference source marked it incorrect.
Dated archive: status recorded on the wiki frozen on Jun 30, 2026
Sources
- Main sourcegithub.com · wikipage read word for word · consulted on Oct 12, 2026
- Reference listerdosproblems.comlink only, reading not recorded
- Corroborationterrytao.wordpress.compage read word for word · consulted on Oct 17, 2026 ·
We have created a github repository to coordinate this process
- Repositorygithub.com · CONTRIBUTING.mdpage read word for word · consulted on Oct 17, 2026 ·
this status is an unofficial crowdsourced classification of the problem
Method
Source: the “AI contributions to Erdős problems” wiki of the teorth/erdosproblems repository (a repository presented by Terence Tao in his blog post of August 31, 2025); frozen on June 30, 2026 (commit c8ad430, “freeze”) and read on October 12, 2026 in the git repository. Category 1(a), “AI standalone” (AI alone; no comparable literature known; no significant human involvement). Humans named by the wiki: none; AI system: Aletheia. Date given by the wiki: February 1, 2026. Exact text: “Solution to one part of problem; incorrect solution to other part”; flag (“progrès partiel (légende du wiki) ; 🔴 travail incorrect”, according to the wiki's legend). On this line the wiki combines a partial result with a part marked incorrect. Literature cited by the wiki: none. Status of the problem in the teorth/erdosproblems community database (data/problems.yaml, unofficial classification, snapshot of October 12, 2026 with no commit identified, current state, not that of June 2026): open (informal_status=open); no formalised solution known (formal_status=unformalized). This status concerns the problem, not this contribution. Problem page not read by DiscoverIA: https://www.erdosproblems.com/1040. The DiscoverIA registry also holds an entry that groups several problems, this one included; the two entries may overlap. DiscoverIA status: contested (a sourced public objection exists, with no established refutation). Recorded on October 12, 2026. History: 2 dated observations, oldest first.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- Aletheia, according to the AI-Erdős wiki
announced on Feb 1, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #1040 (analysis))
- Wiki category
- AI standalone (IA seule ; littérature comparable inconnue ; implication humaine non significative)
- Wiki verdict
- « Solution to one part of problem; incorrect solution to other part » : 🟡 progrès partiel (légende du wiki) ; travail incorrect (légende du wiki)
- Checked by
- no verifier identified
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Most recent first; each observation is numbered in the order it was recorded.
- 02
Not evaluatedbecomesContestedCurrent status
reclassified from not evaluated to contested based on the wiki's text
Source: github.comread word for word
An observation is added; none is ever erased.
Cite an earlier snapshot
These snapshots no longer give the current status. Cite them only to date a past state.
Cite snapshot 1, Oct 12, 2026
Not evaluated status superseded on Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-1040-aletheia-1a-r1
@misc{discoveria-erdos-1040-aletheia-1a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #1040: solution to one part of the problem, the other part judged incorrect by the wiki (Aletheia)},
howpublished = {DiscoverIA registry, entry erdos-1040-aletheia-1a},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1040-aletheia-1a#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
In the same set
AI contributions to Erdős problems (wiki by T. Tao, frozen on June 30, 2026) · entry 436 of 521, by problem number
- Not evaluated : Erdős problem #1039: partial result with a Lean proof according to the wiki (Aristotle, Claude Opus 4.6)
- Not evaluated : Erdős problem #1039: formalisation by Codex, GPT-5.5 (proof: GPT-5.5 Pro (2026))
- Not evaluated : Erdős problem #1039: partial result according to the wiki (GPT-5.5 Pro)
- Contested : Erdős problem #1040: solution to one part of the problem, the other part judged incorrect by the wiki (Aletheia)
- Contested : Erdős problem #1041: argument judged by the wiki to have major gaps (Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4)
- Contested : Erdős problem #1041: argument judged by the wiki to have major gaps (GPT-5.4 Thinking)
- Not evaluated : Erdős problem #1043: new proof in Lean according to the wiki (Aristotle)
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