Pith Number

pith:UYKCB5SH

pith:2023:UYKCB5SHBPUQG3OLIIGE2ZH4DR

not attested not anchored not stored refs pending

Genus $g$ Zhu Recursion for Vertex Operator Algebras and Their Modules

Michael P. Tuite, Michael Welby

arxiv:2312.13717 v2 · 2023-12-21 · math.QA · hep-th · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYKCB5SHBPUQG3OLIIGE2ZH4DR}

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	2026-07-05T09:27:52.099630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61420f6470be9036dcb420c4d64fc1c7c3cf0637e03f94e6027b86e22e73d36

Aliases

arxiv: 2312.13717 · arxiv_version: 2312.13717v2 · doi: 10.48550/arxiv.2312.13717 · pith_short_12: UYKCB5SHBPUQ · pith_short_16: UYKCB5SHBPUQG3OL · pith_short_8: UYKCB5SH

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/UYKCB5SHBPUQG3OLIIGE2ZH4DR \
  | 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: a61420f6470be9036dcb420c4d64fc1c7c3cf0637e03f94e6027b86e22e73d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e0c5b1576e1ff20e8f9541aff10c5bc194bde6622c63d9982d85afd3beda34",
    "cross_cats_sorted": [
      "hep-th",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-12-21T10:30:32Z",
    "title_canon_sha256": "95fe1f4fa0a77eb26477c3847b06546f5028f6759980eace50affeedac85c1b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13717",
    "kind": "arxiv",
    "version": 2
  }
}