Pith Number

pith:JWFNZZX7

pith:2014:JWFNZZX7TPBWBNQA2XAHQJUBA5

not attested not anchored not stored refs pending

Quantum dimensions and fusion rules for parafermion vertex operator algebras

Chongying Dong, Qing Wang

arxiv:1411.7429 v1 · 2014-11-27 · 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{JWFNZZX7TPBWBNQA2XAHQJUBA5}

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	2026-05-18T02:32:38.037169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569

Aliases

arxiv: 1411.7429 · arxiv_version: 1411.7429v1 · doi: 10.48550/arxiv.1411.7429 · pith_short_12: JWFNZZX7TPBW · pith_short_16: JWFNZZX7TPBWBNQA · pith_short_8: JWFNZZX7

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/JWFNZZX7TPBWBNQA2XAHQJUBA5 \
  | 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: 4d8adce6ff9bc360b600d5c0782681076f99634f2feed164217710d1f5671569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808ba205a908f3d80d207b0b2fed5be49a05c17e40480cf8aab4f17e80e540a0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-27T00:16:48Z",
    "title_canon_sha256": "6ab2ea5fa1baeb8ac45cc399834e56ac618b9117899b389201bcf74c430f030b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7429",
    "kind": "arxiv",
    "version": 1
  }
}