frontiers / 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

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Finding bundle

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Erdos-Turan additive-bases conjecture (1941, open): for every additive basis A of order h for the natural numbers, the representation function r_A(n) cannot be bounded. The h=2 case is open.

id: vf_02969d7f9dcc0e53
frontier: Erdős problems frontier
version: 1
confidence: 0.70

no incoming links yet

file

/frontier/erdos-problems/at/vev_4b77c5e9514c97f9permalink · after_hash f02629b612e8c77f…

vf_02969d7f9dcc0e53 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_4b77c5e9514c97f9

cite

raw json · vf_02969d7f9dcc0e53 (2.0 KB)

machine twin · index.json

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  "text": "Erdos-Turan additive-bases conjecture (1941, open): for every additive basis A of order h for the natural numbers, the representation function r_A(n) cannot be bounded. The h=2 case is open.",
  "type": "theoretical"
 },
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  "species_unverified": [],
  "species_verified": [],
  "text": "Additive bases and representation-function asymptotics. Open for h=2 even with substantial partial progress."
 },
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  "extraction_confidence": 1,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
  "score": 0.7
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 "created": "2026-05-10T19:27:57.657240+00:00",
 "evidence": {
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  "evidence_spans": [],
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  "model_system": "",
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  "citation_count": null,
  "doi": null,
  "extraction": {
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  "source_type": "published_paper",
  "title": "Erdos, Turan 1941, J. London Math. Soc.",
  "year": 1941
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Unsealed — 0 attachment(s) on record, awaiting independent verification.

0 attachments · 0 distinct checker actors · 0 methods

blame · custody trail

produced byreviewer:erdos-db-trustfinding.asserted · 2026-05-30vev_4b77c5e9514c97f9

checked byno verifier attachment on record

accepted byno accept signed

history · 1 event

e1149/1271finding.assertedreviewer:erdos-db-trust2026-05-30→f02629b612

record state

frontier-owned

Review status

unreviewed

finding statement

finding type

theoretical

No entity list is declared.

evidence

source-bound

1 atoms

theoretical · manual state transition

proof impact

packet context

1 events

1 reviewable changes and 0 evaluation records are attached to this finding id.

evidence

method

manual state transition

evidence type

theoretical

conditions

species_unverified
species_verified
text: Additive bases and representation-function asymptotics. Open for h=2 even with substantial partial progress.

provenance

source title

Erdos, Turan 1941, J. London Math. Soc.

authors

agent:vela-curation-bot

Source records

source record

declared

Erdos, Turan 1941, J. London Math. Soc.

vs_44d952874922ee86

title:Erdos, Turan 1941, J. London Math. Soc.

1941manual_curation

Evidence atoms

vea_fb4fdfd031a8dfe7theoretical · unknown
Erdos-Turan additive-bases conjecture (1941, open): for every additive basis A of order h for the natural numbers, the representation function r_A(n) cannot be bounded. The h=2 case is open.
vs_44d952874922ee86 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_4b77c5e9514c97f9finding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_ed8ad0f7f0ffd788finding.add
Manual finding added to frontier state
applied · agent:vela-curation-bot · 2026-05-10

evaluations

No evaluation record targets this finding id.

Review status

theoretical

1 atoms

1 events

Source records

Erdos, Turan 1941, J. London Math. Soc.

Evidence atoms

Typed links

Review, event, and evaluation records

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