Pith Number

pith:TXJHDEXC

pith:1993:TXJHDEXCV3X2SVUR7YEERKJY3M

not attested not anchored not stored refs pending

Vertex Operator Superalgebras and Their Representations

Victor G. Kac, Weiqiang Wang

arxiv:hep-th/9312065 v1 · 1993-12-09 · hep-th · 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{TXJHDEXCV3X2SVUR7YEERKJY3M}

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.

Cited by

1 paper in Pith

Derivations on the triplet $W$-algebras with $\mathfrak{sl}_2$-symmetry

Receipt and verification

First computed	2026-07-04T15:08:52.049549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd27192e2aeefa95691fe0848a938db3a3f5d5f56147aa09c70e31b590e5c7e

Aliases

arxiv: hep-th/9312065 · arxiv_version: hep-th/9312065v1 · doi: 10.48550/arxiv.hep-th/9312065 · pith_short_12: TXJHDEXCV3X2 · pith_short_16: TXJHDEXCV3X2SVUR · pith_short_8: TXJHDEXC

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/TXJHDEXCV3X2SVUR7YEERKJY3M \
  | 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: 9dd27192e2aeefa95691fe0848a938db3a3f5d5f56147aa09c70e31b590e5c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98637a2b7f4a11b9686676d50386bf222b3bc5b454d6ecc74019a09c8e5bf733",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-09T03:21:46Z",
    "title_canon_sha256": "18c0bc6441f99245f97336ac104f32040e148896c9738f84d12f4df1c12eb37f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312065",
    "kind": "arxiv",
    "version": 1
  }
}