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_56812e52870cc584"}

id
vea_22058661b8fb5001
frontier
Erdős problems frontier
source
vs_201862fadd7dd963
finding
vf_7b739ee86aa8c9e6

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #613 has status 'disproved (lean)'. Statement: **Erdős Problem 613:** Let $n \geq 3$ and $G$ be a graph with $\binom{2n+1}{2} - \binom{n}{2} - 1$ edges. Must $G$ be the union of a bipartite graph and a graph with maximum degree less than $n$? Topics: graph theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_56812e52870cc584

vs_201862fadd7dd963

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_56812e52870cc584"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_f55fbf6d6fd7abbf

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_0cffb68166759eb1finding.asserted

    Candidate claim vc_56812e52870cc584 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_736c3c494690b4cbfinding.add

    Candidate claim vc_56812e52870cc584 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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