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

Evidence atom

back to sources

Erdős Problem #125: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (positive-lower-density variant — the formalized statement is a variant, not necessarily the full original problem). Independently re-verified locally 2026-06-10: full lake build of google-deepmind/alphaproof-nexus-results@0647711a7118 under their pinned toolchain leanprover/lean4:v4.27.0 succeeded (8062 jobs); static scan clean (no sorry, no native_decide, no custom axioms). Artifacts: erdos_125.variants.positive_lower_density.lean sha256:12e2df1ba973bde5. AI involvement: machine-generated proof, machine-checked (Lean kernel is the referee); statement faithfulness NOT yet independently attested — see paper section 4 for DeepMind's own expert validation.

id
vea_dac2556dbc0341d2
frontier
Erdős problems frontier
source
vs_974edbe83fb562d4
finding
vf_63cf7f09150f3200

evidence boundary

unknown

computational

finding binding

bound

theoretical

Erdős Problem #125: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (positive-lower-density variant — the formalized statement is a variant, not necessarily the full original problem). Independently re-verified locally 2026-06-10: full lake build of google-deepmind/alphaproof-nexus-results@0647711a7118 under their pinned toolchain leanprover/lean4:v4.27.0 succeeded (8062 jobs); static scan clean (no sorry, no native_decide, no custom axioms). Artifacts: erdos_125.variants.positive_lower_density.lean sha256:12e2df1ba973bde5. AI involvement: machine-generated proof, machine-checked (Lean kernel is the referee); statement faithfulness NOT yet independently attested — see paper section 4 for DeepMind's own expert validation.

source binding

source-bound

AlphaProof Nexus results repo (Apache-2.0), arXiv:2605.22763

vs_974edbe83fb562d4

review context

unverified

2 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

Erdős Problem #125: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (positive-lower-density variant — the formalized statement is a variant, not necessarily the full original problem). Independently re-verified locally 2026-06-10: full lake build of google-deepmind/alphaproof-nexus-results@0647711a7118 under their pinned toolchain leanprover/lean4:v4.27.0 succeeded (8062 jobs); static scan clean (no sorry, no native_decide, no custom axioms). Artifacts: erdos_125.variants.positive_lower_density.lean sha256:12e2df1ba973bde5. AI involvement: machine-generated proof, machine-checked (Lean kernel is the referee); statement faithfulness NOT yet independently attested — see paper section 4 for DeepMind's own expert validation.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_31afc6e75b3698c0

caveats

  • missing evidence locator

Review, event, and evaluation records

3

events

  • vev_5eed37046f752d69statement.attested

    statement-faithfulness attestation

    reviewer:will-blairreviewer:will-blair · 2026-06-10

  • vev_f48dea4a3bad0f06finding.asserted

    Manual finding added to frontier state

    reviewer:will-blairreviewer:will-blair · 2026-06-10

reviewable changes

  • vpr_ca7bf2842136ed6afinding.add

    Manual finding added to frontier state

    agent — machine actor, no signing keyapplied · agent:nexus-ingest-2026-06-10 · 2026-06-10

evaluations

No evaluation rows are attached.

finding.noted · reviewer:will-blair · 2 days

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.