Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
id
vfr_37aec80d874a0239
license
CC-BY-4.0
findings
1,256
accepted core
6
contested
0
links
17
sources
1,234
evidence
1,256
avg conf
0.98

used by 0 · replayed by 2 producers

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_f4089f77f35338c0"}

id
vea_fcc4b8a0d16eacf3
frontier
Erdős problems frontier
source
vs_eb97199b7b9d4362
finding
vf_0cb778342859402c

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #1043 has status 'disproved (lean)'. Statement: **Erdős Problem 1043**: Let $f\in \mathbb{C}[x]$ be a monic polynomial. Must there exist a straight line $\ell$ such that the projection of $$\{ z: \lvert f(z)\rvert\leq 1\}$$ onto $\ell$ has measure at most $2$? Pommerenke [Po61] proved that the answer is no. This was formalized in Lean by Alexeev using Aristotle. Topics: analysis. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_f4089f77f35338c0

vs_eb97199b7b9d4362

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_f4089f77f35338c0"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7effffe84fc2817a

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_2253690ce44df614finding.asserted

    Candidate claim vc_f4089f77f35338c0 imported from artifact packet cap_61973ee16b553d57

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_a198054cad96bf29finding.add

    Candidate claim vc_f4089f77f35338c0 imported from artifact packet cap_61973ee16b553d57

    agent — machine actor, no signing keyapplied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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