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_859705d5902fcf10"}

id
vea_171cc25e576cff9f
frontier
Erdős problems frontier
source
vs_a67b112f8c0e271f
finding
vf_a8f7162df54cd58f

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #193 remains OPEN. Statement: Let $S \subseteq \mathbb{Z}^3$ be a finite set and let $A = \lbrace a_1, a_2, \ldots \rbrace$ be an infinite $S$-walk, so that $a_{i+1} - a_i \in S$ for all $i$. Must $A$ contain three collinear points? Topics: geometry. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A231255.

source binding

source-bound

cap_61973ee16b553d57 · vc_859705d5902fcf10

vs_a67b112f8c0e271f

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_859705d5902fcf10"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7866013645ad1dc9

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_bd4d263d926376e5finding.asserted

    Candidate claim vc_859705d5902fcf10 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_f045bf50dbed301ffinding.add

    Candidate claim vc_859705d5902fcf10 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

Search Vela

Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.