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_51cbe83cec3ecf98"}

id
vea_4f4155f52298bdfa
frontier
Erdős problems frontier
source
vs_77787ab057ca48bc
finding
vf_560e7b894c20c2ca

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #789 remains OPEN. Statement: Let $h(n)$ be maximal such that if $A\subseteq \mathbb{Z}$ with $\lvert A\rvert=n$ then there is $B\subseteq A$ with $\lvert B\rvert \geq h(n)$ such that if $a_1+\cdots+a_r=b_1+\cdots+b_s$ with $a_i,b_i\in B$ then $r=s$. Estimate $h(n)$. Topics: additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.

source binding

source-bound

cap_61973ee16b553d57 · vc_51cbe83cec3ecf98

vs_77787ab057ca48bc

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_51cbe83cec3ecf98"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7524db546e5f8dfd

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_db1e6b605e8eb47ffinding.asserted

    Candidate claim vc_51cbe83cec3ecf98 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_c4d7ca319030db7afinding.add

    Candidate claim vc_51cbe83cec3ecf98 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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