Pith Number

pith:QAHP2ASA

pith:2019:QAHP2ASAW7PB4E2F3MRDY55EM4

not attested not anchored not stored refs pending

On some extension of Gauss' work and applications

Dong Hwa Shin, Ho Yun Jung, Ja Kyung Koo

arxiv:1905.11690 v1 · 2019-05-28 · 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{QAHP2ASAW7PB4E2F3MRDY55EM4}

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	2026-05-17T23:44:52.642502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

800efd0240b7de1e1345db223c77a46707a15f46a96c51e9e69dc8d1e9ec49ce

Aliases

arxiv: 1905.11690 · arxiv_version: 1905.11690v1 · doi: 10.48550/arxiv.1905.11690 · pith_short_12: QAHP2ASAW7PB · pith_short_16: QAHP2ASAW7PB4E2F · pith_short_8: QAHP2ASA

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/QAHP2ASAW7PB4E2F3MRDY55EM4 \
  | 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: 800efd0240b7de1e1345db223c77a46707a15f46a96c51e9e69dc8d1e9ec49ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7071cb25facb4e72d647f5f1a97b0588b4ab2c8a8447de9c1d5fb3f43aefcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-28T09:02:07Z",
    "title_canon_sha256": "ee0f301455836a9f3ef8440cc72d92c454d562fb23068361d4e9f9dce42ab515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11690",
    "kind": "arxiv",
    "version": 1
  }
}