frontiers / frontier

Erdős problems frontier

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_97a02c8718b60e74"}

id: vea_a2b95c61b6340947
frontier: Erdős problems frontier
source: vs_a57c694ff1e76b61
finding: vf_5a2c00494580cf86

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #28 remains OPEN. Statement: If $A ⊆ \mathbb{N}$ is such that $A + A$ contains all but finitely many integers then $\limsup 1_A ∗ 1_A(n) = \infty$. Topics: number theory, additive basis. Erdős prize: $500. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_97a02c8718b60e74

vs_a57c694ff1e76b61

review context

unverified

1 events

3 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_97a02c8718b60e74"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7cc6d5f4da88903e

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_021583cb2cfded3efinding.asserted
Candidate claim vc_97a02c8718b60e74 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_095f6a90255544fffinding.note
SEMANTIC-EDGE DRAFT -> Erdos #326 (vf_f2b6734f4018b2ad) [related, confidence 0.55]: Both concern additive bases / the representation function 1_A*1_A: P28 on whether A+A cofinite forces unbounded representations, P326 on thinning a basis of order 2 to a sub-basis, both about basis representation multiplicity. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.
pending_review · agent:semantic-edge-extractor · 2026-06-10
vpr_74cb9515e2d0ef15finding.add
Candidate claim vc_97a02c8718b60e74 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_e2315dc4f4700095finding.note
SEMANTIC-EDGE DRAFT -> Erdos #66 (vf_87595279cb9eda1e) [related, confidence 0.6]: Both study the asymptotic behaviour of the representation function 1_A*1_A(n): P28 on its limsup being infinite for cofinite sumsets, P66 on whether 1_A*1_A(n)/log n can tend to a nonzero limit. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.
pending_review · agent:semantic-edge-extractor · 2026-06-10

evaluations

No evaluation rows are attached.

computational

open_question

cap_61973ee16b553d57 · vc_97a02c8718b60e74

1 events

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