Pith Number

pith:BJFYAJA5

pith:2017:BJFYAJA53X4Q3EZBIWKYRXILNF

not attested not anchored not stored refs pending

Parafermion vertex operator algebras and W-algebras

Ching Hung Lam, Hiromichi Yamada, Tomoyuki Arakawa

arxiv:1701.06229 v1 · 2017-01-22 · 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{BJFYAJA53X4Q3EZBIWKYRXILNF}

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	2026-05-18T00:52:18.922597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4b80241dddf90d9321459588dd0b695b0973a4619f298c2a46cf1bc3210590

Aliases

arxiv: 1701.06229 · arxiv_version: 1701.06229v1 · doi: 10.48550/arxiv.1701.06229 · pith_short_12: BJFYAJA53X4Q · pith_short_16: BJFYAJA53X4Q3EZB · pith_short_8: BJFYAJA5

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/BJFYAJA53X4Q3EZBIWKYRXILNF \
  | 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: 0a4b80241dddf90d9321459588dd0b695b0973a4619f298c2a46cf1bc3210590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0570ed133a8aca9a0d335dec57dbb5bf5b2d07e12248510e042bfe0766b188b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-22T22:39:12Z",
    "title_canon_sha256": "aeb6b2ec8906cceae7431d474472c789d0f80ea6cb2729e5f58cb45c353b5994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06229",
    "kind": "arxiv",
    "version": 1
  }
}