Pith Number

pith:TSAYHTW2

pith:2015:TSAYHTW24NL5D6PQ4HYMKYLP5G

not attested not anchored not stored refs pending

Classification of vertex operator algebras of class $\mathcal{S}^4$ with minimal conformal weight one

Atsushi Matsuo, Hiroki Shimakura, Hiroyuki Maruoka

arxiv:1509.05529 v1 · 2015-09-18 · 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{TSAYHTW24NL5D6PQ4HYMKYLP5G}

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	2026-05-18T01:32:42.929103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c8183cedae357d1f9f0e1f0c5616fe98df9536e810caac2e5eab27a08454405

Aliases

arxiv: 1509.05529 · arxiv_version: 1509.05529v1 · doi: 10.48550/arxiv.1509.05529 · pith_short_12: TSAYHTW24NL5 · pith_short_16: TSAYHTW24NL5D6PQ · pith_short_8: TSAYHTW2

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/TSAYHTW24NL5D6PQ4HYMKYLP5G \
  | 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: 9c8183cedae357d1f9f0e1f0c5616fe98df9536e810caac2e5eab27a08454405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1cfccb2ab46cd8152a25ac5cc0d29091eb0f6f1e827b2909b63da07d572a6aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-18T07:51:02Z",
    "title_canon_sha256": "0fb855700b7a8295f7da9970c2da555cb120aec7322d11be18965604467166e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05529",
    "kind": "arxiv",
    "version": 1
  }
}