Pith Number

pith:KXY4O6VR

pith:2012:KXY4O6VRZE3H632PYPR7HA2RA6

not attested not anchored not stored refs pending

Representations of Modular Skew Group Algebras

Liping Li

arxiv:1211.0333 v3 · 2012-11-02 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXY4O6VRZE3H632PYPR7HA2RA6}

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	2026-05-18T02:54:05.325943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f1c77ab1c9367f6f4fc3e3f3835107a73f2a61863c781d90441fed565618d1

Aliases

arxiv: 1211.0333 · arxiv_version: 1211.0333v3 · doi: 10.48550/arxiv.1211.0333 · pith_short_12: KXY4O6VRZE3H · pith_short_16: KXY4O6VRZE3H632P · pith_short_8: KXY4O6VR

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/KXY4O6VRZE3H632PYPR7HA2RA6 \
  | 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: 55f1c77ab1c9367f6f4fc3e3f3835107a73f2a61863c781d90441fed565618d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f7365e705b9a7e4ba310ecb4913dc4aad7a883b1baf4424098a28265e24cbf",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-02T00:25:56Z",
    "title_canon_sha256": "96f9091db9df12a5607f063085bfd36267a4537ba3765cf31d2fa3023b76ceb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0333",
    "kind": "arxiv",
    "version": 3
  }
}