source boundary
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
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Source record
back to sourcesAlphaProof Nexus results repo (Apache-2.0), arXiv:2605.22763
- id
- vs_974edbe83fb562d4
- frontier
- Erdős problems frontier
- type
- paper
finding bindings
record context7 findings
evidence atoms
materialized7 atoms
review context
inspectable14 events
7 reviewable changes and 0 evaluations are attached through this source or its findings.
citation
locator
title:AlphaProof Nexus results repo (Apache-2.0), arXiv:2605.22763
imported
2026-06-10T18:37:59.420744+00:00
extraction mode
manual_curation
authors
agent:nexus-ingest-2026-06-10
caveats
No caveats recorded.
Bound findings
7- Erdős Problem #152: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_152.lean sha256:fb9cf6bb4de746f9. 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.
theoretical ·
vf_16db6f3dba299e5f - Erdős Problem #138: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (difference 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_138.variants.difference.lean sha256:c43f8170bbf34046. 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.
theoretical ·
vf_20dd984366cd93dd - 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.
theoretical ·
vf_63cf7f09150f3200 - Erdős Problem #741: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_741.parts.i.lean sha256:481e87ebaa4058e5; erdos_741.parts.ii.lean sha256:77a222124ab3d8b8. 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.
theoretical ·
vf_748cf8097c3816cf - Erdős Problem #846: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_846.lean sha256:47f77fbc9646be4c. 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.
theoretical ·
vf_9e571c292bedde14 - Erdős Problem #26: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (Tenenbaum 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_26.variants.tenenbaum.lean sha256:5c48abbba23217e2. 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.
theoretical ·
vf_b4ecf5ea9e1f317b - Erdős Problem #12: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_12.parts.i.lean sha256:c42238294d8d2d88; erdos_12.parts.ii.lean sha256:f155135c1e845cb3. 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.
theoretical ·
vf_caaa525f7259eff1
Evidence atoms
7- vea_616a568d43305a43computational · unknown
Erdős Problem #741: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_741.parts.i.lean sha256:481e87ebaa4058e5; erdos_741.parts.ii.lean sha256:77a222124ab3d8b8. 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.
- vea_911ffbbf6a5c7fc5computational · unknown
Erdős Problem #12: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_12.parts.i.lean sha256:c42238294d8d2d88; erdos_12.parts.ii.lean sha256:f155135c1e845cb3. 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.
- vea_a83efb912970ca36computational · unknown
Erdős Problem #26: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (Tenenbaum 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_26.variants.tenenbaum.lean sha256:5c48abbba23217e2. 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.
- vea_d1b4d56c1a43621dcomputational · unknown
Erdős Problem #138: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) (difference 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_138.variants.difference.lean sha256:c43f8170bbf34046. 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.
- vea_dac2556dbc0341d2computational · unknown
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.
- vea_f98c147e91463d3ecomputational · unknown
Erdős Problem #846: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_846.lean sha256:47f77fbc9646be4c. 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.
- vea_fde25f9f7b8099f7computational · unknown
Erdős Problem #152: machine-found Lean proof published by AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026). 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_152.lean sha256:fb9cf6bb4de746f9. 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.
Review, event, and evaluation records
21events
vev_0ac5ebc07014f35dfinding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_3b8819af921c1ff5statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_46bd709b7fc35eb7statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_5eed37046f752d69statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_789565696f60b064statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_a760feb0699a1d52finding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_a7dca7e8eeb115b7finding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_ad684f20dc58e574finding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_b5c53ea42817da77statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_c84666a4c57ae067statement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_ca4cdc23c0039cdastatement.attestedstatement-faithfulness attestation
reviewer:will-blair · 2026-06-10
vev_d67b9bef6d75f358finding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_f48dea4a3bad0f06finding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
vev_fb780f6a65926e5efinding.assertedManual finding added to frontier state
reviewer:will-blair · 2026-06-10
reviewable changes
vpr_089c30e0921a29d1finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_0af2ba231edf71b2finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_0d222bed75fd4f43finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_a1df5641e48e1506finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_aedec97597c85498finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_ca7bf2842136ed6afinding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
vpr_eefe2b99ad531727finding.addManual finding added to frontier state
applied · agent:nexus-ingest-2026-06-10 · 2026-06-10
evaluations
No evaluation rows are attached.