Pith Number

pith:BHWEWSEZ

pith:2019:BHWEWSEZAQGMIEXH2LMJKSMRWX

not attested not anchored not stored refs pending

Refined Estimates Concerning Sumsets Contained in the Roots of Unity

Brandon Hanson, Giorgis Petridis

arxiv:1905.09134 v3 · 2019-05-22 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHWEWSEZAQGMIEXH2LMJKSMRWX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Linear programming bounds for cliques in Paley graphs

Receipt and verification

First computed	2026-07-05T01:00:46.964720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ec4b4899040cc412e7d2d8954991b5de011c9c17f664b276612c2e20813832

Aliases

arxiv: 1905.09134 · arxiv_version: 1905.09134v3 · doi: 10.48550/arxiv.1905.09134 · pith_short_12: BHWEWSEZAQGM · pith_short_16: BHWEWSEZAQGMIEXH · pith_short_8: BHWEWSEZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BHWEWSEZAQGMIEXH2LMJKSMRWX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09ec4b4899040cc412e7d2d8954991b5de011c9c17f664b276612c2e20813832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa58e0b5b97d7e1875c5a19aa2e2201676145ebfa53b27e01f0c475ba4bdff1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-22T13:40:20Z",
    "title_canon_sha256": "229df8a0f08edfd61683acbf2160507b058fa7a8c9d234cc1e6ce16b66a72a51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09134",
    "kind": "arxiv",
    "version": 3
  }
}