Pith Number

pith:67JQ4V4X

pith:2018:67JQ4V4X5LRLHVAC6VILX4IMEV

not attested not anchored not stored refs pending

A sum of squares not divisible by a prime

Byeong-Kweon Oh, Kyoungmin Kim

arxiv:1805.03038 v1 · 2018-05-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67JQ4V4X5LRLHVAC6VILX4IMEV}

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.

Receipt and verification

First computed	2026-05-18T00:16:34.828006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d30e5797eae2b3d402f550bbf10c2571a9c772b54bbae9ac7d59ab1ba63d31

Aliases

arxiv: 1805.03038 · arxiv_version: 1805.03038v1 · doi: 10.48550/arxiv.1805.03038 · pith_short_12: 67JQ4V4X5LRL · pith_short_16: 67JQ4V4X5LRLHVAC · pith_short_8: 67JQ4V4X

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/67JQ4V4X5LRLHVAC6VILX4IMEV \
  | 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: f7d30e5797eae2b3d402f550bbf10c2571a9c772b54bbae9ac7d59ab1ba63d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba12f802b4d6dbf0f3b1e3245d2ea02239ba2c1ca572df2c6937b9e3d3df2624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-08T14:06:02Z",
    "title_canon_sha256": "648fd57ee4d5451276cddc46e8e968675ecb307e71b4a0ed7e1cb029f5d63ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03038",
    "kind": "arxiv",
    "version": 1
  }
}