record state
frontier-ownedfrontiers / 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
e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null
Finding bundle
back to stateErdős Problem #91 remains OPEN. Statement: Suppose $A\subset \mathbb{R}^2$ has $\lvert A\rvert=n$ and minimises the number of distinct distances between points in $A$. Prove that for large $n$ there are at least two (and probably many) such $A$ which are non-similar. Topics: geometry, distances. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A186704, possible.
- id
- vf_6b4ba8010dbbad76
- frontier
- Erdős problems frontier
- version
- 1
- confidence
- 0.99
no incoming links yet
file
/frontier/erdos-problems/at/vev_9a5efe8213cf9bbcpermalink · after_hash f4248ea9e18be913…vf_6b4ba8010dbbad76 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_9a5efe8213cf9bbcciteraw json · vf_6b4ba8010dbbad76 (2.5 KB)
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"text": "Erdős Problem #91 remains OPEN. Statement: Suppose $A\\subset \\mathbb{R}^2$ has $\\lvert A\\rvert=n$ and minimises the number of distinct distances between points in $A$. Prove that for large $n$ there are at least two (and probably many) such $A$ which are non-similar. Topics: geometry, distances. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A186704, possible.",
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"created": "2026-05-30T00:42:06.826507+00:00",
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"title": "cap_61973ee16b553d57 · vc_31964684fa99ab60",
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}Unsealed — 0 attachment(s) on record, awaiting independent verification.
0 attachments · 0 distinct checker actors · 0 methods
blame · custody trail
vev_4af268e8e302a49dhistory · 1 event
finding statement
finding typeopen_question
No entity list is declared.
evidence
source-bound1 atoms
computational · ScienceClaw-shaped artifact packet import · agent artifact packet
proof impact
packet context1 events
3 reviewable changes and 0 evaluation records are attached to this finding id.
evidence
method
ScienceClaw-shaped artifact packet import
evidence type
computational
system
agent artifact packet
evidence spans
span recorded
conditions
- species_unverified
- species_verified
- text
- Agent-imported candidate claim; scope requires review.
provenance
source title
cap_61973ee16b553d57 · vc_31964684fa99ab60
authors
Erdős Open-Problem spine ingest
Source records
1Evidence atoms
1- vea_63808c788d6b3809computational · supports
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vs_4c4a558cf98a404e · span:0 · artifact_to_state_import
Typed links
0outgoing
No outgoing links.
incoming
No incoming links.
Review, event, and evaluation records
4events
vev_4af268e8e302a49dfinding.assertedCandidate claim vc_31964684fa99ab60 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_510517003bcf45cbfinding.noteSEMANTIC-EDGE DRAFT -> Erdos #89 (vf_9e0543dd7357caf2) [related, confidence 0.55]: Problem 91's notion of a distance-count-minimizing optimal configuration is the extremal object underlying the distinct-distances lower bound problem 89. -- 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_91365d0b0506c6cffinding.addCandidate claim vc_31964684fa99ab60 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_f877dcb9fa6d6b8cfinding.noteSEMANTIC-EDGE DRAFT -> Erdos #98 (vf_ffd1943974b46af5) [depends_on, confidence 0.7]: An 'optimal' set in 91 is defined as one achieving the minimum distinct-distance count, which is exactly the function h(n) studied in 98, so 91's definition is parasitic on that minimum. -- 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
evaluations
No evaluation record targets this finding id.