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_9dfd7c9a85abd479"}

id
vea_02b0fe3861dbb08a
frontier
Erdős problems frontier
source
vs_a82aca6d00bf818a
finding
vf_442ca909634589c8

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #707 has status 'disproved (lean)'. Statement: **Erdős Problem 707**: It is false that any finite Sidon set can be embedded in a perfect different set modulo some $n$. As described in [arxiv/2510.19804], a counterexample is provided in [Ha47], see below. The proof of this has been formalized. This was formalized in Lean by Alexeev using ChatGPT. Topics: additive combinatorics, sidon sets. Erdős prize: $1000. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_9dfd7c9a85abd479

vs_a82aca6d00bf818a

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_9dfd7c9a85abd479"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_2284d17f2f923177

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_195f57431ccd95eefinding.asserted

    Candidate claim vc_9dfd7c9a85abd479 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_6918eac80a49839afinding.add

    Candidate claim vc_9dfd7c9a85abd479 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.