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 discrepancy problem (1932 conjecture, solved 2015 by Tao): for every sign sequence and every constant C, there exist d, k such that the partial sum sum_{i=1}^k epsilon(id) exceeds C in absolute value.

id: vf_d60a12f70bf04aa8
frontier: Erdős problems frontier
version: 1
confidence: 0.95

no incoming links yet

file

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

vf_d60a12f70bf04aa8 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_9a5efe8213cf9bbc

cite

raw json · vf_d60a12f70bf04aa8 (2.1 KB)

machine twin · index.json

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  "type": "theoretical"
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  "text": "Sign sequences and homogeneous arithmetic progressions; long-open until Tao's solution leveraged Polymath5 and the Liouville-function correlation result."
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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_a49be9f2bf48ba6b

checked byno verifier attachment on record

accepted byno accept signed

history · 1 event

e880/1271finding.assertedreviewer:erdos-db-trust2026-05-30→b7a622e544

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: Sign sequences and homogeneous arithmetic progressions; long-open until Tao's solution leveraged Polymath5 and the Liouville-function correlation result.

provenance

source title

Tao 2016, Discrete Analysis (after Erdos 1932)

authors

agent:vela-curation-bot

Source records

source record

declared

Tao 2016, Discrete Analysis (after Erdos 1932)

vs_cfaf8b7f58398e02

title:Tao 2016, Discrete Analysis (after Erdos 1932)

2016manual_curation

Evidence atoms

vea_9098a6712c3e2928theoretical · unknown
Erdos discrepancy problem (1932 conjecture, solved 2015 by Tao): for every sign sequence and every constant C, there exist d, k such that the partial sum sum_{i=1}^k epsilon(id) exceeds C in absolute value.
vs_cfaf8b7f58398e02 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_a49be9f2bf48ba6bfinding.asserted
Manual finding added to frontier state
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_b4992db06109f914finding.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

Tao 2016, Discrete Analysis (after Erdos 1932)

Evidence atoms

Typed links

Review, event, and evaluation records

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