Pith Number

pith:OVL4XADG

pith:2013:OVL4XADG44PWT522MWAHEZZUUN

not attested not anchored not stored refs pending

On the structure of $\mathbb{N}$-graded Vertex Operator Algebras

Gaywalee Yamskulna, Geoffrey Mason

arxiv:1310.0545 v1 · 2013-10-02 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVL4XADG44PWT522MWAHEZZUUN}

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	2026-05-18T03:11:34.938151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7557cb8066e71f69f75a6580726734a3407c1f33c5910ba7e3e98e7108629d31

Aliases

arxiv: 1310.0545 · arxiv_version: 1310.0545v1 · doi: 10.48550/arxiv.1310.0545 · pith_short_12: OVL4XADG44PW · pith_short_16: OVL4XADG44PWT522 · pith_short_8: OVL4XADG

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/OVL4XADG44PWT522MWAHEZZUUN \
  | 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: 7557cb8066e71f69f75a6580726734a3407c1f33c5910ba7e3e98e7108629d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38445d00adc7f0982a29559989fe318618280f39d0da0b752b4aa87d5768f9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-10-02T02:21:10Z",
    "title_canon_sha256": "c6bc1286baa59957338c7b5c0c49b133e0c4764388d1e9dbe2a7db4b711b7717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0545",
    "kind": "arxiv",
    "version": 1
  }
}