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_0fdd15875f2299e9"}

id: vea_71ac78f6798be101
frontier: Erdős problems frontier
source: vs_73fe5212d640e313
finding: vf_b2c9adf370bbc6a8

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #96 remains OPEN. Statement: If $n$ points in $\mathbb{R}^2$ form a convex polygon then there are $O(n)$ many pairs which are distance $1$ apart. Topics: geometry, distances, convex. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.

source binding

source-bound

cap_61973ee16b553d57 · vc_0fdd15875f2299e9

vs_73fe5212d640e313

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_0fdd15875f2299e9"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_dce4c485f760c06c

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_fe1c8a3527ae424dfinding.asserted
Candidate claim vc_0fdd15875f2299e9 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_428a37f45781880dfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #1085 (vf_cd90f1defdd5e12b) [specializes, confidence 0.65]: Problem 96 counts unit distances among the vertices of a convex n-gon, a convex-position restriction of the maximum-unit-distances problem 1085 for n points in R^d. -- 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_6f7c0a3575418a63finding.add
Candidate claim vc_0fdd15875f2299e9 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_0fdd15875f2299e9

1 events

Review, event, and evaluation records

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