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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Finding bundle

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Erdos-Heilbronn conjecture (1964, solved 1996 by Dias da Silva and Hamidoune): for a prime p and a subset A of Z/pZ, the cardinality of the restricted sumset A +_hat A is at least min(p, 2|A| - 3).

id: vf_25ef36d5afd13aa7
frontier: Erdős problems frontier
version: 1
confidence: 0.95

no incoming links yet

file

/frontier/erdos-problems/at/vev_9a5efe8213cf9bbcpermalink · after_hash f4248ea9e18be913…

vf_25ef36d5afd13aa7 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_9a5efe8213cf9bbc

cite

raw json · vf_25ef36d5afd13aa7 (2.0 KB)

machine twin · index.json

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  "text": "Erdos-Heilbronn conjecture (1964, solved 1996 by Dias da Silva and Hamidoune): for a prime p and a subset A of Z/pZ, the cardinality of the restricted sumset A +_hat A is at least min(p, 2|A| - 3).",
  "type": "theoretical"
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 "conditions": {
  "age_group": null,
  "cell_type": null,
  "clinical_trial": false,
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  "duration": null,
  "human_data": false,
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  "species_unverified": [],
  "species_verified": [],
  "text": "Restricted sumsets in cyclic groups of prime order; solved using exterior-algebra method."
 },
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  "extraction_confidence": 1,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
  "score": 0.95
 },
 "created": "2026-05-10T19:27:57.561550+00:00",
 "evidence": {
  "effect_size": null,
  "evidence_spans": [],
  "method": "manual state transition",
  "model_system": "",
  "p_value": null,
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 "flags": {
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  "gravity_well": false,
  "negative_space": false,
  "retracted": false
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 "id": "vf_25ef36d5afd13aa7",
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  "citation_count": null,
  "doi": null,
  "extraction": {
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  "source_type": "published_paper",
  "title": "Dias da Silva, Hamidoune 1994, Bull. London Math. Soc.",
  "year": 1994
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Unsealed — 0 attachment(s) on record, awaiting independent verification.

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blame · custody trail

produced byreviewer:erdos-db-trustfinding.asserted · 2026-05-30vev_5bc1811fe85b6c80

checked byno verifier attachment on record

accepted byno accept signed

history · 1 event

e520/1288finding.assertedreviewer:erdos-db-trust2026-05-30→d8c5a1baa4

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: Restricted sumsets in cyclic groups of prime order; solved using exterior-algebra method.

provenance

source title

Dias da Silva, Hamidoune 1994, Bull. London Math. Soc.

authors

agent:vela-curation-bot

Source records

source record

declared

Dias da Silva, Hamidoune 1994, Bull. London Math. Soc.

vs_1c18c0ae0a0aac06

title:Dias da Silva, Hamidoune 1994, Bull. London Math. Soc.

1994manual_curation

Evidence atoms

vea_03a6f7606a49013ftheoretical · unknown
Erdos-Heilbronn conjecture (1964, solved 1996 by Dias da Silva and Hamidoune): for a prime p and a subset A of Z/pZ, the cardinality of the restricted sumset A +_hat A is at least min(p, 2|A| - 3).
vs_1c18c0ae0a0aac06 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_5bc1811fe85b6c80finding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_69261777d0301b5cfinding.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

Dias da Silva, Hamidoune 1994, Bull. London Math. Soc.

Evidence atoms

Typed links

Review, event, and evaluation records

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