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_a8c3bb9d98fab063"}

id: vea_66b19a56317ddf34
frontier: Erdős problems frontier
source: vs_e52af209b73d6961
finding: vf_f91e5876c643b8a0

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #196 remains OPEN. Statement: Must every permutation of $\mathbb{N}$, contain a monotone 4-term arithmetic progression? Topics: arithmetic progressions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_a8c3bb9d98fab063

vs_e52af209b73d6961

review context

unverified

1 events

2 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_a8c3bb9d98fab063"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_b20f9af9126be2cd

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_3d41b1ab4536deb5finding.asserted
Candidate claim vc_a8c3bb9d98fab063 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_29254a27b42533b4finding.add
Candidate claim vc_a8c3bb9d98fab063 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_40d5aae3741adbc1finding.note
SEMANTIC-EDGE DRAFT -> Erdos #197 (vf_aff975922c8e0373) [related, confidence 0.65]: 197 (partition N into two AP-3-avoidable-permutation sets) is the natural lower-bound companion to 196's existence question about monotone APs in a single permutation. -- 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_a8c3bb9d98fab063

1 events

Review, event, and evaluation records

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