Pith Number

pith:EMUZCMSJ

pith:2013:EMUZCMSJ4QKECSNIIIZMBZ5IFS

not attested not anchored not stored refs pending

Vertex operator algebras associated to the Virasoro algebra over an arbitrary field

Chongying Dong, Li Ren

arxiv:1308.0087 v1 · 2013-08-01 · math.QA · 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{EMUZCMSJ4QKECSNIIIZMBZ5IFS}

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	2026-05-18T03:17:00.629053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2329913249e4144149a84232c0e7a82ca7d237bcb1590f97fce32620eb2e846f

Aliases

arxiv: 1308.0087 · arxiv_version: 1308.0087v1 · doi: 10.48550/arxiv.1308.0087 · pith_short_12: EMUZCMSJ4QKE · pith_short_16: EMUZCMSJ4QKECSNI · pith_short_8: EMUZCMSJ

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/EMUZCMSJ4QKECSNIIIZMBZ5IFS \
  | 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: 2329913249e4144149a84232c0e7a82ca7d237bcb1590f97fce32620eb2e846f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921335b10b022a285ed7216092038481d879a3f0623b79df2e6800f52a61a7e2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-01T03:36:25Z",
    "title_canon_sha256": "6c3c00271b4e8aa9e450be8d41188b0f5b2a243d1d18976c6503c5ecf0025ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0087",
    "kind": "arxiv",
    "version": 1
  }
}