Pith Number

pith:WCBVP2YC

pith:2011:WCBVP2YCHT5KILOEUGKQHNW7LB

not attested not anchored not stored refs pending

A characterization of vertex operator algebras $V_{Z\alpha}^{+}$: I

Chongying Dong, Cuipo Jiang

arxiv:1110.1882 v1 · 2011-10-09 · 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{WCBVP2YCHT5KILOEUGKQHNW7LB}

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	2026-05-18T04:11:19.413708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08357eb023cfaa42dc4a19503b6df5878855cf4175a1b1a7b2d4cc28fc60d87

Aliases

arxiv: 1110.1882 · arxiv_version: 1110.1882v1 · doi: 10.48550/arxiv.1110.1882 · pith_short_12: WCBVP2YCHT5K · pith_short_16: WCBVP2YCHT5KILOE · pith_short_8: WCBVP2YC

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/WCBVP2YCHT5KILOEUGKQHNW7LB \
  | 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: b08357eb023cfaa42dc4a19503b6df5878855cf4175a1b1a7b2d4cc28fc60d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48facc946b00d0d21a1cdd3bf6e7a1c3b47fb559ce25e79ff4b75cae27524563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-09T20:41:09Z",
    "title_canon_sha256": "13687a99186fe7a9f1e976d7cd162819fcc2a43a19070d9815c42adbffc7a67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1882",
    "kind": "arxiv",
    "version": 1
  }
}