Pith Number

pith:C53LCIC2

pith:2012:C53LCIC2RD67CCE5MOWPQLCFZT

not attested not anchored not stored refs pending

Mirror Extensions of Vertex Operator Algebras

Chongying Dong, Feng Xu, Xiangyu Jiao

arxiv:1211.0931 v2 · 2012-11-05 · 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{C53LCIC2RD67CCE5MOWPQLCFZT}

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	2026-05-18T03:41:00.822784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1776b1205a88fdf1089d63acf82c45cce91219a54f87939d14f13cdc3bb4e5af

Aliases

arxiv: 1211.0931 · arxiv_version: 1211.0931v2 · doi: 10.48550/arxiv.1211.0931 · pith_short_12: C53LCIC2RD67 · pith_short_16: C53LCIC2RD67CCE5 · pith_short_8: C53LCIC2

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/C53LCIC2RD67CCE5MOWPQLCFZT \
  | 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: 1776b1205a88fdf1089d63acf82c45cce91219a54f87939d14f13cdc3bb4e5af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a18394d16d0722df5beee93656bc52b723e3def1286e9748181d3bc5a1bf77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-05T17:09:55Z",
    "title_canon_sha256": "04c6b6130982a8ecb96abecc00358bc74b22fb5d7bb6b6970c7ef23681a4e1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0931",
    "kind": "arxiv",
    "version": 2
  }
}