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Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
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

Reviewable change

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finding.note

claimed — no verifier run, no signed judgmentopen

Erdős Problem #172 remains OPEN. Statement: Is it true that in any finite colouring of $\mathbb{N}$ there exist arbitrarily large finite $A$ such that all sums and products of distinct elements in $A$ are the same colour? Topics: additive combinatorics, ramsey theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

id
vpr_195ccab7ef53af51
frontier
Erdős problems frontier
kind
finding.note
created
2026-06-10

A proposal; no authority until an accepted review event.

accept gate

0 of 4 on record
·
signature
no terminal verdict yet
·
chain
no state transition yet
—
witness
no verifier attachment on record for this target
—
grade
in state · unreviewed

timeline

  1. 2026-06-10proposeproposed · finding.noteagent — machine actor, no signing keyagent:semantic-edge-extractorvpr_195ccab7ef53af51SEMANTIC-EDGE DRAFT -> Erdos #645 (vf_8b85ef50f5aabb8d) [related, confidence 0.5]: Both are partition-regularity (Ramsey) statements over finite colourings of N seeking monochromatic additive structure (sums in 172, 3-term APs in 645). -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.

proposed

reason

SEMANTIC-EDGE DRAFT -> Erdos #645 (vf_8b85ef50f5aabb8d) [related, confidence 0.5]: Both are partition-regularity (Ramsey) statements over finite colourings of N seeking monochromatic additive structure (sums in 172, 3-term APs in 645). -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.

provenance

proposed by

agent — machine actor, no signing keyagent:semantic-edge-extractor

actor type

human

created at

2026-06-10

target type

finding

affected

inspect finding →

Erdős Problem #172 remains OPEN. Statement: Is it true that in any finite colouring of $\mathbb{N}$ there exist arbitrarily large finite $A$ such that all sums and products of distinct elements in $A$ are the same colour? Topics: additive combinatorics, ramsey theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

vf_db6cc07678873270

Diff

Read-only frontier; diff not recomputed.

Review chain

  1. 01request

    Change request

    Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.

    open review →
  2. 02packet

    Diff packet

    The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.

    open the campaign →
  3. 03checks

    Check output

    Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.

    inspect checks →
  4. 04review

    Reviewer decision

    A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.

    read queue →
  5. 05accepted

    Accepted event

    Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.

    inspect events →

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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