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_74ebe3e862d5a69e"}

id
vea_cf748eb2572888f2
frontier
Erdős problems frontier
source
vs_036b4baa49f28a68
finding
vf_117e3ea46e0a5e1f

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #1148 has status 'proved (lean)'. Statement: Can every large integer $n$ be written as $n=x^2+y^2-z^2$ with $\max(x^2,y^2,z^2)\leq n$? This was proved affirmatively by Chojecki [Ch26], using a Duke-type equidistribution theorem. A Lean formalisation of the reduction (conditional on a Duke-type equidistribution theorem) exists; see the [forum discussion](https://www.erdosproblems.com/forum/thread/1148#post-4849). Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A390380, A393168.

source binding

source-bound

cap_61973ee16b553d57 · vc_74ebe3e862d5a69e

vs_036b4baa49f28a68

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_74ebe3e862d5a69e"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_1660836f1cc4cd9a

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_1ae6052c53363642finding.asserted

    Candidate claim vc_74ebe3e862d5a69e imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_7f8c3a39ddfd4ca7finding.add

    Candidate claim vc_74ebe3e862d5a69e 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.