evidence boundary
supportsfrontiers / 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
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_5341891a61bd1666"}
- id
- vea_8dfd52f9558f7ea9
- frontier
- Erdős problems frontier
- source
- vs_f2fd1bdcb90881ff
- finding
- vf_6bf3b133b2018523
finding binding
boundopen_question
Erdős Problem #701 remains OPEN. Statement: Let $\mathcal{F}$ be a family of sets closed under taking subsets (i.e. if $B\subseteq A\in\mathcal{F}$ then $B\in \mathcal{F}$). There exists some element $x$ such that whenever $\mathcal{F}'\subseteq \mathcal{F}$ is an intersecting subfamily we have $$\lvert \mathcal{F}'\rvert \leq \lvert \{ A\in \mathcal{F} : x\in A\}\rvert.$$ Topics: combinatorics, intersecting family. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_5341891a61bd1666
vs_f2fd1bdcb90881ff
review context
unverified1 events
1 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_5341891a61bd1666"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_daafb53a1e6dd7d6
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_89e76d9a10aa07a5finding.assertedCandidate claim vc_5341891a61bd1666 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_6df4b9fa51076460finding.addCandidate claim vc_5341891a61bd1666 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.