Pith Number

pith:6N7YD52Z

pith:2013:6N7YD52ZRW5GML2BEOTFK3B4SH

not attested not anchored not stored refs pending

Characterizations of the exceptional vertex operator algebras of central charge $1$: II

Xianzu Lin

arxiv:1311.2116 v2 · 2013-11-09 · math.RT · math-ph · math.MP · 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{6N7YD52ZRW5GML2BEOTFK3B4SH}

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	2026-05-18T03:07:03.426790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37f81f7598dba662f4123a6556c3c91e57a0d1d1450adf79c426aee9a918d74

Aliases

arxiv: 1311.2116 · arxiv_version: 1311.2116v2 · doi: 10.48550/arxiv.1311.2116 · pith_short_12: 6N7YD52ZRW5G · pith_short_16: 6N7YD52ZRW5GML2B · pith_short_8: 6N7YD52Z

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/6N7YD52ZRW5GML2BEOTFK3B4SH \
  | 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: f37f81f7598dba662f4123a6556c3c91e57a0d1d1450adf79c426aee9a918d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c172fc676566c32c2c7a281d5f6b1cdae5a743a5b4f25230abef28564adfb35e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-09T00:57:20Z",
    "title_canon_sha256": "0c49bc21596cbdaa37563d282bc5b4c29b9c68ed63a42fb0f5cb37921a44c82e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2116",
    "kind": "arxiv",
    "version": 2
  }
}