Pith Number

pith:ZHBII4AZ

pith:2013:ZHBII4AZCHO5EENZEE3YOCFNWF

not attested not anchored not stored refs pending

Smooth Embeddings for the Suzuki and Ree Curves

Abdulla Eid, Iwan Duursma

arxiv:1311.1999 v1 · 2013-11-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHBII4AZCHO5EENZEE3YOCFNWF}

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	2026-05-18T03:07:41.788214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c284701911ddd211b921378708adb1488f492e55cc6ef85dff3d6b39e5aebc

Aliases

arxiv: 1311.1999 · arxiv_version: 1311.1999v1 · doi: 10.48550/arxiv.1311.1999 · pith_short_12: ZHBII4AZCHO5 · pith_short_16: ZHBII4AZCHO5EENZ · pith_short_8: ZHBII4AZ

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/ZHBII4AZCHO5EENZEE3YOCFNWF \
  | 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: c9c284701911ddd211b921378708adb1488f492e55cc6ef85dff3d6b39e5aebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0b2968c3dd06f23199ef321e81ebf00b0ad63e53f42047842ef93a8b4378c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-08T15:14:54Z",
    "title_canon_sha256": "03194e7e8393a3b71ff3a270ff0db825a95904857ac5ca70f6e6021789f6afa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1999",
    "kind": "arxiv",
    "version": 1
  }
}