Pith Number

pith:WD6JLQ3P

pith:2013:WD6JLQ3PBZVEWMFNRGJLAVTNDI

not attested not anchored not stored refs pending

Revisiting the number of simple $K_4$-groups

Shaohua Zhang, Wujie Shi

arxiv:1307.8079 v1 · 2013-07-30 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD6JLQ3PBZVEWMFNRGJLAVTNDI}

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

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	2026-05-18T03:17:12.484601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fc95c36f0e6a4b30ad8992b0566d1a330942c7965c52583cb938185ec2f094

Aliases

arxiv: 1307.8079 · arxiv_version: 1307.8079v1 · doi: 10.48550/arxiv.1307.8079 · pith_short_12: WD6JLQ3PBZVE · pith_short_16: WD6JLQ3PBZVEWMFN · pith_short_8: WD6JLQ3P

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/WD6JLQ3PBZVEWMFNRGJLAVTNDI \
  | 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: b0fc95c36f0e6a4b30ad8992b0566d1a330942c7965c52583cb938185ec2f094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1c42f0910061d9c01a6a65c4b770e4013fec332d9ff8d99148cab807e9f871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-30T18:30:09Z",
    "title_canon_sha256": "0a251599c7dd2e86c9a11bca2861e1d8edd4dfe4520a28250aeaecc37fb792f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8079",
    "kind": "arxiv",
    "version": 1
  }
}