Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
Updated
Verification of the Erdős--Szabados chain
diagonal_review: Retains the review of the finite symmetrization correction: counting, off-diagonal and diagonal estimates and the 1/16 prefactor.
full_chain_review: Retains the review of the composed qualitative integral theorem with c_3 = 1/256, conditional on the Bernstein, Markov and Erdős--Turán interfaces.
full_chain_review_fresh: Retains the fresh-context refutation-charge review, read from a redacted extraction as of 2026-09-18T07:24:04Z, of theorem (4) together with its endpoint and harmonic-block completion and its finite symmetrization correction.
full_chain_review_grade_fresh: Records the distinct grader's pass on the report contract and independence of the fresh full-chain review as of 2026-09-18T07:24:04Z, with the grader's own rederivations of the gap assertion, the adjacent-polynomial input, the symmetrization and the harmonic blocks.
late_proof_review: Retains the review of the late-proof companion: Chebyshev deletion, local mesh, disjoint harmonic blocks, high-maximum case and the 1/256 constant.
publication_review: Retains the exact-byte review of the successor that closed the six correction groups requested by the full-chain review.
The diagonal review and late-proof
review pass the two compilation companions. The
full-chain review of 2026-09-06 passed their
composition with the printed argument, conditional on three external
interfaces; on 2026-09-18 a materiality grader ruled that its delivered
candidates carried the companions' earlier-review verdicts, so it is void as
an independent warrant for the composition and stands as the reviewer's record.
The fresh full-chain review, by a fresh-context
blind reviewer (model: Claude Fable 5.1) distinct from every earlier reviewer
of this card, read the result page and both companions as they stood on
2026-09-18T07:24:04Z through the redacted extraction retained as
../assets/frozen_integral_lower_bound.md
and returned refutation-failed for theorem (4) with , conditional on
the same three interfaces; its distinct
grade, by a grader (model: Claude Fable 5.1)
distinct from the reviewer, records PASS for the report contract and PASS for
independence and is the acceptance record for the composed chain. The
publication review accepts the exact corrected
successor as an artifact-fidelity check.