Pith Number

pith:P2ZCJA4J

pith:2015:P2ZCJA4JO2TPVLTOHIJ4D6WYIL

not attested not anchored not stored refs pending

The Schur-Wielandt theory for central S-rings

Gang Chen, Ilya Ponomarenko, Mikhail Muzychuk

arxiv:1505.01352 v1 · 2015-05-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2ZCJA4JO2TPVLTOHIJ4D6WYIL}

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	2026-05-17T23:55:05.515184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb224838976a6faae6e3a13c1fad842cd90c929245b0d27e316197dc9829dcd

Aliases

arxiv: 1505.01352 · arxiv_version: 1505.01352v1 · doi: 10.48550/arxiv.1505.01352 · pith_short_12: P2ZCJA4JO2TP · pith_short_16: P2ZCJA4JO2TPVLTO · pith_short_8: P2ZCJA4J

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/P2ZCJA4JO2TPVLTOHIJ4D6WYIL \
  | 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: 7eb224838976a6faae6e3a13c1fad842cd90c929245b0d27e316197dc9829dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557ec368d3eb77825ea30b6bda1fddd50ae3e0ef0c66a802c77215e1302b085a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-06T12:59:43Z",
    "title_canon_sha256": "206fc402ce96d40757d92424dab786ff78f11ade6ebae4257ed43fad3ac61fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01352",
    "kind": "arxiv",
    "version": 1
  }
}