proposed
reason
Candidate claim vc_64cbc98b3bc3a5fb imported from artifact packet cap_61973ee16b553d57
finding type
theoretical
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős Problem #228 has been PROVED (Erdős's conjecture holds). Statement: Does there exist, for all large $n$, a polynomial $P$ of degree $n$, with coefficients $\pm1$, such that $$\sqrt n \ll |P(z)| \ll \sqrt n$$ for all $|z|=1$, with the implied constants independent of $z$ and $n$? The answer is yes, proved by Balister, Bollobás, Morris, Sahasrabudhe, and Tiba [BBMST19]. [BBMST19] Balister, P. and Bollob\'{A}s, B. and Morris, R. and Sahasrabudhe, J. and Tiba, M., _Flat Littlewood Polynomials Exist_. arXiv:1907.09464 (2019). Topics: analysis, polynomials. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
accept gate
1 of 4 on recordtimeline
vpr_5f52c47ca247af44Candidate claim vc_64cbc98b3bc3a5fb imported from artifact packet cap_61973ee16b553d57null→4d09b540vev_477fbc90d0f63c03Candidate claim vc_64cbc98b3bc3a5fb imported from artifact packet cap_61973ee16b553d57proposed
reason
Candidate claim vc_64cbc98b3bc3a5fb imported from artifact packet cap_61973ee16b553d57
finding type
theoretical
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-spine-ingest
actor type
agent
created at
2026-05-30
target type
finding
affected
inspect finding →Erdős Problem #228 has been PROVED (Erdős's conjecture holds). Statement: Does there exist, for all large $n$, a polynomial $P$ of degree $n$, with coefficients $\pm1$, such that $$\sqrt n \ll |P(z)| \ll \sqrt n$$ for all $|z|=1$, with the implied constants independent of $z$ and $n$? The answer is yes, proved by Balister, Bollobás, Morris, Sahasrabudhe, and Tiba [BBMST19]. [BBMST19] Balister, P. and Bollob\'{A}s, B. and Morris, R. and Sahasrabudhe, J. and Tiba, M., _Flat Littlewood Polynomials Exist_. arXiv:1907.09464 (2019). Topics: analysis, polynomials. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
vf_2cfc468cd4150cdcRead-only frontier; diff not recomputed.
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.
Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.