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_5dd8ba50d9d9a2e7"}

id: vea_04fc523ee9d267a2
frontier: Erdős problems frontier
source: vs_9a07d57817c8ce40
finding: vf_adb50d657b7bed82

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #592 remains OPEN. Statement: Determine which countable ordinals $β$ have the property that, if $α = \omega^β$, then in any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$. Topics: set theory, ramsey theory. Erdős prize: $1000. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_5dd8ba50d9d9a2e7

vs_9a07d57817c8ce40

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_5dd8ba50d9d9a2e7"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_26d5f6423451da3d

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_24f3ad002e06a1a6finding.asserted
Candidate claim vc_5dd8ba50d9d9a2e7 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_760198e68ab754aafinding.note
SEMANTIC-EDGE DRAFT -> Erdos #598 (vf_3be6fbb0bb72199c) [shares_technique, confidence 0.55]: Both are partition-calculus questions about arrow relations on infinite structures (592 on K_{ω^β} for countable ordinals, 598 on K_κ for κ=(2^{ℵ_0})^+), solved by the same Erdős–Rado ordinal/cardinal partition machinery. -- 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_d12b4e537812148efinding.add
Candidate claim vc_5dd8ba50d9d9a2e7 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_5dd8ba50d9d9a2e7

1 events

Review, event, and evaluation records

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