Pith Number

pith:4JBBYTVJ

pith:2010:4JBBYTVJ3DBRKTAKRWJCGVHOIY

not attested not anchored not stored refs pending

Constructing $x^2$ for primes $p=ax^2+by^2$

Zhi-Hong Sun

arxiv:1012.3919 v1 · 2010-12-17 · 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{4JBBYTVJ3DBRKTAKRWJCGVHOIY}

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	2026-05-18T04:33:03.640243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2421c4ea9d8c3154c0a8d922354ee46275b5aa8d8d3e9512a836215036dfc6a

Aliases

arxiv: 1012.3919 · arxiv_version: 1012.3919v1 · doi: 10.48550/arxiv.1012.3919 · pith_short_12: 4JBBYTVJ3DBR · pith_short_16: 4JBBYTVJ3DBRKTAK · pith_short_8: 4JBBYTVJ

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/4JBBYTVJ3DBRKTAKRWJCGVHOIY \
  | 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: e2421c4ea9d8c3154c0a8d922354ee46275b5aa8d8d3e9512a836215036dfc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5cd2ef6e957b14af0d3c59080515de5e604820d992ae52192d26e077cfa044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-17T16:38:00Z",
    "title_canon_sha256": "5b73b01a24a0c747f830898e00cbaa75faae74a831b98776094b64cede209442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3919",
    "kind": "arxiv",
    "version": 1
  }
}