Pith Number

pith:4WL5BJGH

pith:2013:4WL5BJGHQIKFCOLJ5BGPYR7TH5

not attested not anchored not stored refs pending

AF Systems of Certain Cyclic Groups

Wenda Zhang, Zhiqiang Li

arxiv:1304.0813 v2 · 2013-04-02 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WL5BJGHQIKFCOLJ5BGPYR7TH5}

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	2026-05-18T01:11:35.537334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e597d0a4c78214513969e84cfc47f33f7049585d9defee96e0dc0cf662508ba7

Aliases

arxiv: 1304.0813 · arxiv_version: 1304.0813v2 · doi: 10.48550/arxiv.1304.0813 · pith_short_12: 4WL5BJGHQIKF · pith_short_16: 4WL5BJGHQIKFCOLJ · pith_short_8: 4WL5BJGH

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/4WL5BJGHQIKFCOLJ5BGPYR7TH5 \
  | 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: e597d0a4c78214513969e84cfc47f33f7049585d9defee96e0dc0cf662508ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b8334ef395f1704b6061acd8d942bc1e55024a1ffd6d7016a2173bb53b1683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-02T23:43:39Z",
    "title_canon_sha256": "2b3d0a777054f37fb565ee5f1617de5725ba761128642ac4cb6963468c4e41c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0813",
    "kind": "arxiv",
    "version": 2
  }
}