Pith Number

pith:6R3ZTEMW

pith:2014:6R3ZTEMWWED7L4BVZ3BPCNGZ3O

not attested not anchored not stored refs pending

Simple Toroidal Vertex Algebras and Their Irreducible Modules

Fei Kong, Haisheng Li, Qing Wang, Shaobin Tan

arxiv:1408.0579 v1 · 2014-08-04 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R3ZTEMWWED7L4BVZ3BPCNGZ3O}

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	2026-05-18T02:45:56.752054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f477999196b107f5f035cec2f134d9db82043ac8a506903131752e4af7ef245b

Aliases

arxiv: 1408.0579 · arxiv_version: 1408.0579v1 · doi: 10.48550/arxiv.1408.0579 · pith_short_12: 6R3ZTEMWWED7 · pith_short_16: 6R3ZTEMWWED7L4BV · pith_short_8: 6R3ZTEMW

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/6R3ZTEMWWED7L4BVZ3BPCNGZ3O \
  | 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: f477999196b107f5f035cec2f134d9db82043ac8a506903131752e4af7ef245b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e76091617e171f7284f71893f5b87d713e28068f8d79167fa4f3816ae18e543",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-08-04T04:07:11Z",
    "title_canon_sha256": "3ab5676cb51cd54dcddc034c2a66132577416d150c2c020acbe2072962781197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0579",
    "kind": "arxiv",
    "version": 1
  }
}