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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_e775bc4faaa9ffff"}

id: vea_78bd7418b851aec7
frontier: Erdős problems frontier
source: vs_b7ca1c101c1f907d
finding: vf_8d5ada8b450f91ca

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #138 remains OPEN. Statement: In [Er80] Erdős asks whether $$ \lim_{k \to \infty} (W(k))^{1/k} = \infty $$ Topics: additive combinatorics. Erdős prize: $500. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005346.

source binding

source-bound

cap_61973ee16b553d57 · vc_e775bc4faaa9ffff

vs_b7ca1c101c1f907d

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_e775bc4faaa9ffff"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_b6bd28a1961b272e

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_10f07db6f7feebe1finding.asserted
Candidate claim vc_e775bc4faaa9ffff imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_07756b233d3ea2a4finding.note
SEMANTIC-EDGE DRAFT -> Erdos #142 (vf_b66b7c5d84d7554e) [related, confidence 0.55]: 138 counts N forcing monochromatic APs (van der Waerden) whereas 142 measures the largest AP-free set (Szemeredi density), the partition and density formulations of the same AP-avoidance problem. -- 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_5127ffc945cd6fd9finding.note
SEMANTIC-EDGE DRAFT -> Erdos #645 (vf_8b85ef50f5aabb8d) [related, confidence 0.65]: 645 (any 2-colouring of N yields a monochromatic 3-term AP) is a special low-length, two-colour instance of the monochromatic-AP guarantee that 138 quantifies via van der Waerden numbers. -- 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_570c41dedf5fbd5cfinding.add
Candidate claim vc_e775bc4faaa9ffff imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

computational

open_question

cap_61973ee16b553d57 · vc_e775bc4faaa9ffff

1 events

Review, event, and evaluation records

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