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_4fd8e66c1b786f35"}

id: vea_7fdf2e1346318f57
frontier: Erdős problems frontier
source: vs_cf76479507d77b95
finding: vf_c89f4d7a1f57556e

evidence boundary

supports

computational

finding binding

bound

theoretical

Erdős Problem #43 has been DISPROVED (a counterexample is known). Topics: number theory, sidon sets, additive combinatorics. Erdős prize: $100. Statement is machine-verified in Lean (formal-conjectures). OEIS: A143824, A227590, A003022, possible.

source binding

source-bound

cap_61973ee16b553d57 · vc_4fd8e66c1b786f35

vs_cf76479507d77b95

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_4fd8e66c1b786f35"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_9e64c7841a75adba

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_9073979719308609finding.asserted
Candidate claim vc_4fd8e66c1b786f35 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_45897095d08659dcfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #44 (vf_a357c9d8ac3d6b26) [related, confidence 0.88]: P44 states the 2√N upper bound on precisely the extremal Sidon function f(N) that P43 defines. -- 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_a5c6d4c2c71d9598finding.add
Candidate claim vc_4fd8e66c1b786f35 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

computational

theoretical

cap_61973ee16b553d57 · vc_4fd8e66c1b786f35

1 events

Review, event, and evaluation records

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