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_5ffbff270ab5c3c8"}

id
vea_90303ebaa0dcac61
frontier
Erdős problems frontier
source
vs_47dc118065d47bea
finding
vf_5dda7d31253d867c

evidence boundary

supports

computational

finding binding

bound

theoretical

Erdős Problem #480 has been PROVED (Erdős's conjecture holds). Statement: Let $x_1,x_2,\ldots\in [0,1]$ be an infinite sequence. Is it true that $$\inf_n \liminf_{m\to \infty} n \lvert x_{m+n}-x_m\rvert\leq 5^{-1/2}\approx 0.447?$$ A conjecture of Newman. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_5ffbff270ab5c3c8

vs_47dc118065d47bea

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_5ffbff270ab5c3c8"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_ca4dfbca9a151158

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_36c7bd0e3d63deaffinding.asserted

    Candidate claim vc_5ffbff270ab5c3c8 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_b9d7c9b00f290568finding.add

    Candidate claim vc_5ffbff270ab5c3c8 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.

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

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

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