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_bc525da52a3c21a4"}

id: vea_6326cacfed6a65a4
frontier: Erdős problems frontier
source: vs_500795905cb72070
finding: vf_1321ba201d47f508

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #64 has status 'falsifiable'. Statement: Does every finite graph with minimum degree at least $3$ contain a cycle of length $2^k$ for some $k \geq 2$? Topics: graph theory, cycles. Erdős prize: $1000. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_bc525da52a3c21a4

vs_500795905cb72070

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_bc525da52a3c21a4"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_9b4a10d1a9abfefc

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_464db504c635b2fdfinding.asserted
Candidate claim vc_bc525da52a3c21a4 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_9a21dff4282f0339finding.note
SEMANTIC-EDGE DRAFT -> Erdos #108 (vf_af9a340f76a26927) [related, confidence 0.5]: Both are forcing problems for cycle lengths from a degree/chromatic hypothesis — 64 forces a cycle of length 2^k from min degree 3, 108 forces cycles of given girth/length from large chromatic number. -- 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_e586f370a65c8ea5finding.add
Candidate claim vc_bc525da52a3c21a4 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_bc525da52a3c21a4

1 events

Review, event, and evaluation records

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