Pith Number

pith:VUQRIVCG

pith:2014:VUQRIVCGGRRJHJTMMMKDDQKWPU

not attested not anchored not stored refs pending

Representations of the parafermion vertex operator algebras

Chongying Dong, Li Ren

arxiv:1411.6085 v4 · 2014-11-22 · 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{VUQRIVCGGRRJHJTMMMKDDQKWPU}

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	2026-05-18T01:02:14.103001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad21145446346293a66c631431c1567d283f70320dc3e15181cbed7cedf3a470

Aliases

arxiv: 1411.6085 · arxiv_version: 1411.6085v4 · doi: 10.48550/arxiv.1411.6085 · pith_short_12: VUQRIVCGGRRJ · pith_short_16: VUQRIVCGGRRJHJTM · pith_short_8: VUQRIVCG

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/VUQRIVCGGRRJHJTMMMKDDQKWPU \
  | 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: ad21145446346293a66c631431c1567d283f70320dc3e15181cbed7cedf3a470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab15c4849f829a2d533126c4c1bbb9c016d5dfe931c275a8066975500b51c74",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-22T06:22:44Z",
    "title_canon_sha256": "7c612814f7d52e2314338d4416de03b19e30e65530c5258716928832e0c16e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6085",
    "kind": "arxiv",
    "version": 4
  }
}