Pith Number

pith:JV3EPVXD

pith:2014:JV3EPVXDDZ3H3VAEPIHJDO7DGT

not attested not anchored not stored refs pending

The irreducible modules and fusion rules for the parafermion vertex operator algebras

Chongying Dong, Chunrui Ai, Li Ren, Xiangyu Jiao

arxiv:1412.8154 v2 · 2014-12-28 · 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{JV3EPVXDDZ3H3VAEPIHJDO7DGT}

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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	2026-05-18T01:02:14.047628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7647d6e31e767dd4047a0e91bbe334e06d04cbc92992727329590ab16fb698

Aliases

arxiv: 1412.8154 · arxiv_version: 1412.8154v2 · doi: 10.48550/arxiv.1412.8154 · pith_short_12: JV3EPVXDDZ3H · pith_short_16: JV3EPVXDDZ3H3VAE · pith_short_8: JV3EPVXD

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/JV3EPVXDDZ3H3VAEPIHJDO7DGT \
  | 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: 4d7647d6e31e767dd4047a0e91bbe334e06d04cbc92992727329590ab16fb698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdcf89ceda344e04b0b2da8a2722e689d35296d6c065944c815ff9933078ba0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-12-28T12:19:47Z",
    "title_canon_sha256": "524dd3c6603c2e75df7f152085248678d281a75747efb68bb9c4d7301535813e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8154",
    "kind": "arxiv",
    "version": 2
  }
}