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

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_65c84a0111a60fe2"}

id
vea_fcfcedd2838172c5
frontier
Erdős problems frontier
source
vs_8d1af67abdc57248
finding
vf_d3d947902c6331cb

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #319 remains OPEN. Statement: What is the size of the largest $A\subseteq\{1, \dots, N\}$ such that there is a function $\delta : A \to \{-1, 1\}$ such that $$ \sum_{n\in A} \frac{\delta n}{n} = 0 $$ and $$ \sum_{n\in A'}\frac{\delta n}{n} \neq 0 $$ for all non-empty $A'\subsetneq A$. Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.

source binding

source-bound

cap_61973ee16b553d57 · vc_65c84a0111a60fe2

vs_8d1af67abdc57248

review context

unverified

1 events

2 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_65c84a0111a60fe2"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_3f70db7819522470

caveats

No caveats recorded.

Review, event, and evaluation records

3

events

  • vev_95a3ad7b9d940b1dfinding.asserted

    Candidate claim vc_65c84a0111a60fe2 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_6c9e7649c4e27f9dfinding.add

    Candidate claim vc_65c84a0111a60fe2 imported from artifact packet cap_61973ee16b553d57

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

  • vpr_84e3d3e66829514dfinding.note

    SEMANTIC-EDGE DRAFT -> Erdos #317 (vf_68df117a797f45cf) [related, confidence 0.6]: Both concern signed sums of reciprocals (delta_k in {-1,0,1} or {-1,1}) approximating/avoiding values; 319 asks for the largest such set while 317 asks for a uniform smallness constant, sharing the signed-reciprocal framework. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.

    agent — machine actor, no signing keypending_review · agent:semantic-edge-extractor · 2026-06-10

evaluations

No evaluation rows are attached.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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