Pith Number

pith:OMIGYI3I

pith:2012:OMIGYI3IZ3P3NKLJG27PAVQQM5

not attested not anchored not stored refs pending

On non-congruent numbers with 1 modulo 4 prime factors

Shenxing Zhang, Yi Ouyang

arxiv:1208.2149 v1 · 2012-08-10 · 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{OMIGYI3IZ3P3NKLJG27PAVQQM5}

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	2026-05-18T03:48:59.984210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73106c2368cedfb6a96936bef056106762408e8aed3d85cb1a7b270a84cb8cfd

Aliases

arxiv: 1208.2149 · arxiv_version: 1208.2149v1 · doi: 10.48550/arxiv.1208.2149 · pith_short_12: OMIGYI3IZ3P3 · pith_short_16: OMIGYI3IZ3P3NKLJ · pith_short_8: OMIGYI3I

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/OMIGYI3IZ3P3NKLJG27PAVQQM5 \
  | 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: 73106c2368cedfb6a96936bef056106762408e8aed3d85cb1a7b270a84cb8cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57d0d04559b3867b054466bd7455d51c7cae3eef36b77006381783c195bca87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-10T11:56:25Z",
    "title_canon_sha256": "da8e5b789590425d9de77ce25301799c5ca81efe86ea77460e20dc1ae01b89f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2149",
    "kind": "arxiv",
    "version": 1
  }
}