Vela
✦ 5 frontiers

frontiers / frontier

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

back to review

add a finding

verified — A frozen deterministic verifier re-checked the claim and passed.accepted

Erdős Problem #193 remains OPEN. Statement: Let $S \subseteq \mathbb{Z}^3$ be a finite set and let $A = \lbrace a_1, a_2, \ldots \rbrace$ be an infinite $S$-walk, so that $a_{i+1} - a_i \in S$ for all $i$. Must $A$ contain three collinear points? Topics: geometry. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A231255.

id
vpr_f045bf50dbed301f
frontier
Erdős problems frontier
kind
finding.add
created
2026-05-30
findings
+1
state
null → d9cf00d9

accept gate

1 of 4 on record
—
signature
reviewer:erdos-db-trust · no key registered on this bundle
✓
chain
null → d9cf00d9
—
witness
no verifier attachment on record for this target
—
grade
in state · unreviewed

timeline

  1. 2026-05-30proposeproposed · finding.addagent — machine actor, no signing keyagent:erdos-spine-ingestvpr_f045bf50dbed301fCandidate claim vc_859705d5902fcf10 imported from artifact packet cap_61973ee16b553d57
  2. 2026-05-30acceptfinding.assertedreviewer:erdos-db-trustreviewer:erdos-db-trustnull→d9cf00d9vev_bd4d263d926376e5Candidate claim vc_859705d5902fcf10 imported from artifact packet cap_61973ee16b553d57

proposed

reason

Candidate claim vc_859705d5902fcf10 imported from artifact packet cap_61973ee16b553d57

finding type

open_question

proposed confidence

0.99

confidence basis

agent-imported candidate claim; reviewer acceptance required

provenance

proposed by

agent — machine actor, no signing keyagent:erdos-spine-ingest

actor type

agent

created at

2026-05-30

target type

finding

affected

inspect finding →

Erdős Problem #193 remains OPEN. Statement: Let $S \subseteq \mathbb{Z}^3$ be a finite set and let $A = \lbrace a_1, a_2, \ldots \rbrace$ be an infinite $S$-walk, so that $a_{i+1} - a_i \in S$ for all $i$. Must $A$ contain three collinear points? Topics: geometry. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A231255.

vf_a8f7162df54cd58f

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

Search Vela

Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.