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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_0fd4f80f9f47105f"}

id: vea_c65e09288ceec7fe
frontier: Erdős problems frontier
source: vs_af37665d93eba8f2
finding: vf_125d481fdd040806

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #158 remains OPEN. Statement: Let `A` be an infinite `B₂[2]` set. Must `liminf |A ∩ {1, ..., N}| * N ^ (- 1 / 2) = 0`? Topics: sidon sets. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_0fd4f80f9f47105f

vs_af37665d93eba8f2

review context

unverified

1 events

3 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_0fd4f80f9f47105f"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_91be48c7767a02d0

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_e9eb9cc07d5d6addfinding.asserted
Candidate claim vc_0fd4f80f9f47105f imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_6e59842c6611aadbfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #30 (vf_04c2ff267458866e) [generalizes, confidence 0.75]: A Sidon set is a B_2[1] set, hence 158's B_2[g] maximum-size problem strictly generalizes 30's maximum Sidon set size in {1,...,N}. -- 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_b86596894bc5f75dfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #155 (vf_55921775986ed4e2) [generalizes, confidence 0.8]: B_2[g] sets in 158 generalize Sidon sets (the g=1 case), so the extremal size questions in 158 generalize the largest-Sidon-subset quantity F(N) studied in 155. -- 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_caa95cca99579497finding.add
Candidate claim vc_0fd4f80f9f47105f 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_0fd4f80f9f47105f

1 events

Review, event, and evaluation records

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