Pith Number

pith:AQIOMRJB

pith:2013:AQIOMRJBI4D65RRJDNZPVFAYRO

not attested not anchored not stored refs pending

$N$-point Virasoro Algebras and Their Modules of Densities

Ben Cox, Kaiming Zhao, Rencai Lu, Xiangqian Guo

arxiv:1308.6815 v1 · 2013-08-30 · 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{AQIOMRJBI4D65RRJDNZPVFAYRO}

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	2026-05-18T03:14:30.811798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0410e645214707eec6291b72fa94188b9f5950d1e15964595960809a84d036ee

Aliases

arxiv: 1308.6815 · arxiv_version: 1308.6815v1 · doi: 10.48550/arxiv.1308.6815 · pith_short_12: AQIOMRJBI4D6 · pith_short_16: AQIOMRJBI4D65RRJ · pith_short_8: AQIOMRJB

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/AQIOMRJBI4D65RRJDNZPVFAYRO \
  | 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: 0410e645214707eec6291b72fa94188b9f5950d1e15964595960809a84d036ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c00e11f022f1602939b3741afedcaf5b3d7d0a31be877d2e07934988b020934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-30T18:23:57Z",
    "title_canon_sha256": "e861d238cf61feffb7d949bb3cfc18738076ca5327e17d12a56439e5ffe8f111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6815",
    "kind": "arxiv",
    "version": 1
  }
}