frontiers / frontier

Additive combinatorics: Sidon sets and N(h,k) bounds

id: vfr_496956067dc5ad79
license: CC-BY-4.0
findings: 22
accepted core: 1
contested: 1
links: 0
sources: 22
evidence: 22
avg conf: 0.83

used by 1 · replayed by 1 producer · second seat open

e33/33 · finding.asserted · reviewer:will · 2026-06-03 · null→e123

Finding bundle

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A Sidon set in {1,...,N} of size O(sqrt(N)) exists, attaining the elementary upper bound for h=2 sumsets up to a multiplicative constant.

id: vf_63f4bcd4f4904a08
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
version: 1
confidence: 0.95

no incoming links yet

file

/frontier/sidon-sets/at/vev_96a3ee14236bfe3fpermalink · after_hash eb552941b1fc0b6e…

vf_63f4bcd4f4904a08 · sidon-sets · snapshot sha256:8badc78d64f9cdb5b9e9594b0e2855d9295d4b99abf972db104f3b417fa630af · https://vela-site-next.fly.dev/frontier/sidon-sets/at/vev_96a3ee14236bfe3f

cite

raw json · vf_63f4bcd4f4904a08 (1.9 KB)

machine twin · index.json

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  "type": "theoretical"
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  "extraction_confidence": 1,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
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 "created": "2026-05-09T19:20:20.711955+00:00",
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  "citation_count": null,
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  "source_type": "published_paper",
  "title": "Erdos-Turan, 1941",
  "year": null
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produced byagent:research-bot-2026-05-09finding.asserted · 2026-05-09vev_96a3ee14236bfe3f

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accepted byno accept signed

history · 1 event

e1/33finding.assertedagent:research-bot-2026-05-092026-05-09→eb552941b1

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: Manually added finding; requires evidence review before scientific use.

provenance

source title

Erdos-Turan, 1941

authors

agent:research-bot-2026-05-09

Source records

source record

declared

Erdos-Turan, 1941

vs_dad56783e2506cf1

title:Erdos-Turan, 1941

manual_curation

Evidence atoms

vea_30334dad5d113f8etheoretical · unknown
A Sidon set in {1,...,N} of size O(sqrt(N)) exists, attaining the elementary upper bound for h=2 sumsets up to a multiplicative constant.
vs_dad56783e2506cf1 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_96a3ee14236bfe3ffinding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_0278b354889109bbfinding.add
Manual finding added to frontier state
applied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation record targets this finding id.

Review status

theoretical

1 atoms

1 events

Source records

Erdos-Turan, 1941

Evidence atoms

Typed links

Review, event, and evaluation records

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