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_235826513ac43c38"}

id
vea_516d0e8b87941705
frontier
Erdős problems frontier
source
vs_5a9b7052f3a3bd06
finding
vf_0f29bb6c261c14ec

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #1 remains OPEN. Statement: If $A\subseteq\{1, ..., N\}$ with $|A| = n$ is such that the subset sums $\sum_{a\in S}a$ are distinct for all $S\subseteq A$ then $$ N \gg 2 ^ n. $$ Topics: number theory, additive combinatorics. Erdős prize: $500. Statement is machine-verified in Lean (formal-conjectures). OEIS: A276661.

source binding

source-bound

cap_61973ee16b553d57 · vc_235826513ac43c38

vs_5a9b7052f3a3bd06

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_235826513ac43c38"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_4ef37b36d4f55ddc

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_bd9f63cfd3188db9finding.asserted

    Candidate claim vc_235826513ac43c38 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_f0d901a4637f6ce0finding.add

    Candidate claim vc_235826513ac43c38 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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