← ProblemsResearch / Jan 2026–Aug 3, 2026
Sparse additive bases for sets of density zero (Erdős #333)
The numbered question and its assumptions are given in the linked Erdős problem statement.
Model / AI: Aletheia, GPT-5.2
•self-reported⚑debunked (novelty claim)
Jan 2026
Sparse additive bases for sets of density zero (Erdős #333)
Model / AI: Aletheia
•self-reported
Literature identification reported for Aletheia.
Source read 2026-09-08. Read the linked source to identify this individual result and its attribution; proofs were not independently checked.
Aug 3, 2026
Sparse additive bases for sets of density zero (Erdős #333) — retracted claim
Model / AI: GPT-5.2
⚑debunked (novelty claim)
announced as solved with GPT-5.2; Erdős had resolved it himself in a 1977 paper. Barreto retracted, saying "I've fallen for this twice now".
Source review pending. Imported from the original notes; linked claims and artifacts have not been re-audited in this restructuring.