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

Source record

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cap_61973ee16b553d57 · vc_9c360ba5a320bbd1

id: vs_b9c88b00aeb07bea
frontier: Erdős problems frontier
type: synthetic_report

source boundary

frontier-owned

synthetic

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

2 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

external source

locator

title:cap_61973ee16b553d57 · vc_9c360ba5a320bbd1

imported

2026-05-30T00:42:06.826507+00:00

extraction mode

artifact_to_state_import

authors

Erdős Open-Problem spine ingest

caveats

source requires human review before being treated as evidence

Bound findings

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.
open_question · vf_26e65a6dc2cca455

Evidence atoms

vea_d19e8f1acaf5a768computational · supports
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_9c360ba5a320bbd1"}

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.