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_18ab22bfdf5f22c9"}

id: vea_8fc5d06ca68775f8
frontier: Erdős problems frontier
source: vs_0074be58baf08d9a
finding: vf_4fec4a78d574b4f4

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #153 remains OPEN. Statement: Must `lim f n = ∞`? Topics: sidon sets. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_18ab22bfdf5f22c9

vs_0074be58baf08d9a

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_18ab22bfdf5f22c9"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_fa67c3b5c38688f0

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_d8aa0021f830b7e2finding.asserted
Candidate claim vc_18ab22bfdf5f22c9 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_79de17ad722141dcfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #152 (vf_d9e346b8e73b7626) [shares_technique, confidence 0.85]: 153 and 152 use the identical construction f(n) = minimum over Sidon sets A of size n of a functional of the gap/structure of A+A, differing only in which statistic of A+A is minimized. -- 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_9d64c119df77a7fdfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #155 (vf_55921775986ed4e2) [related, confidence 0.55]: 153 minimizes a gap-statistic of A+A over Sidon sets while 155 maximizes Sidon-set size; both are extremal problems over the same family of Sidon sets and their sumsets. -- 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_fc50b79729d12a7ffinding.add
Candidate claim vc_18ab22bfdf5f22c9 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_18ab22bfdf5f22c9

1 events

Review, event, and evaluation records

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