Pith Number

pith:LHJVWC2R

pith:2007:LHJVWC2RIBYHUYKQ3Q2MJNDPXU

not attested not anchored not stored refs pending

W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)

C. Dong, W. Zhang

arxiv:0711.4624 v1 · 2007-11-28 · 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{LHJVWC2RIBYHUYKQ3Q2MJNDPXU}

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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	2026-07-04T15:05:55.998340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d35b0b5140707a6150dc34c4b46fbd239ec397dbfb5dcc8535659ea0690428

Aliases

arxiv: 0711.4624 · arxiv_version: 0711.4624v1 · doi: 10.48550/arxiv.0711.4624 · pith_short_12: LHJVWC2RIBYH · pith_short_16: LHJVWC2RIBYHUYKQ · pith_short_8: LHJVWC2R

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/LHJVWC2RIBYHUYKQ3Q2MJNDPXU \
  | 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: 59d35b0b5140707a6150dc34c4b46fbd239ec397dbfb5dcc8535659ea0690428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3d1c91b269f10c803d241459d2c6cc9bd6508490e02d3c965f8d2001a71f39",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-11-28T23:42:00Z",
    "title_canon_sha256": "dbf6eb5f9ae7c0ef4b70741206a1e3dffff7f032a690b9f935e40d152cdd00bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4624",
    "kind": "arxiv",
    "version": 1
  }
}