proposed
reason
Candidate claim vc_1e6b6df0cd879f0c imported from artifact packet cap_61973ee16b553d57
finding type
theoretical
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős Problem #590 has been PROVED (Erdős's conjecture holds). Statement: Let $α$ be the infinite ordinal $\omega^{\omega}$. It was proved by Chang [Ch72] that 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: $250. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
accept gate
1 of 4 on recordtimeline
vpr_00ac9cb8f3299ee7Candidate claim vc_1e6b6df0cd879f0c imported from artifact packet cap_61973ee16b553d57null→443351d4vev_15c9d2da5e00d947Candidate claim vc_1e6b6df0cd879f0c imported from artifact packet cap_61973ee16b553d57proposed
reason
Candidate claim vc_1e6b6df0cd879f0c imported from artifact packet cap_61973ee16b553d57
finding type
theoretical
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-spine-ingest
actor type
agent
created at
2026-05-30
target type
finding
affected
inspect finding →Erdős Problem #590 has been PROVED (Erdős's conjecture holds). Statement: Let $α$ be the infinite ordinal $\omega^{\omega}$. It was proved by Chang [Ch72] that 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: $250. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
vf_488d07d058d4ffe9Read-only frontier; diff not recomputed.
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.
Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.