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_9c360ba5a320bbd1"}

id: vea_d19e8f1acaf5a768
frontier: Erdős problems frontier
source: vs_b9c88b00aeb07bea
finding: vf_26e65a6dc2cca455

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #97 has status 'falsifiable'. Statement: Does every convex polygon have a vertex with no other 4 vertices equidistant from it? Topics: geometry, distances, convex. Erdős prize: $100. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_9c360ba5a320bbd1

vs_b9c88b00aeb07bea

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_9c360ba5a320bbd1"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_3f31a47fcd6e718f

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_ec65a86b636a267afinding.asserted
Candidate claim vc_9c360ba5a320bbd1 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_913ef157adfffd8afinding.note
SEMANTIC-EDGE DRAFT -> Erdos #653 (vf_a799eda095525e0e) [related, confidence 0.55]: Problem 97's count of points equidistant from a point p is the multiplicity structure dual to 653's R(x_i), the number of distinct distances from x_i, since many equidistant points means a repeated distance value. -- 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_c02b5219c5391a93finding.add
Candidate claim vc_9c360ba5a320bbd1 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_9c360ba5a320bbd1

1 events

Review, event, and evaluation records

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