Pith Number

pith:OP6HE526

pith:2014:OP6HE5265OTBBJDWFQKQ5Y52KQ

not attested not anchored not stored refs pending

The extensions of $L_{sl_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$

Chongying Dong, Xingjun Lin

arxiv:1411.7081 v1 · 2014-11-26 · 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{OP6HE5265OTBBJDWFQKQ5Y52KQ}

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	2026-05-18T01:31:46.180696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fc72775eeba610a4762c150ee3ba5408445009024111fe5f907f6147d82b2a

Aliases

arxiv: 1411.7081 · arxiv_version: 1411.7081v1 · doi: 10.48550/arxiv.1411.7081 · pith_short_12: OP6HE5265OTB · pith_short_16: OP6HE5265OTBBJDW · pith_short_8: OP6HE526

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/OP6HE5265OTBBJDWFQKQ5Y52KQ \
  | 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: 73fc72775eeba610a4762c150ee3ba5408445009024111fe5f907f6147d82b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e36abafca133d1e1270e32431793a5104c3b962f95a7e8348654ae378ac09c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-26T01:46:29Z",
    "title_canon_sha256": "94413f45393e5501ed8986bbe353b17cd7b1a57cd084a7bc2fc7dd310f3a0703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7081",
    "kind": "arxiv",
    "version": 1
  }
}