Pith Number

pith:YM33ITJQ

pith:2017:YM33ITJQ7IS5JENIYPPLBJYKIQ

not attested not anchored not stored refs pending

Modular Virasoro Vertex Algebras and Affine Vertex Algebras

Haisheng Li, Qiang Mu, Xiangyu Jiao

arxiv:1711.00985 v2 · 2017-11-03 · 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{YM33ITJQ7IS5JENIYPPLBJYKIQ}

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	2026-05-18T00:31:18.332951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c337b44d30fa25d491a8c3deb0a70a441e633d185af2d17afab994456764914f

Aliases

arxiv: 1711.00985 · arxiv_version: 1711.00985v2 · doi: 10.48550/arxiv.1711.00985 · pith_short_12: YM33ITJQ7IS5 · pith_short_16: YM33ITJQ7IS5JENI · pith_short_8: YM33ITJQ

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/YM33ITJQ7IS5JENIYPPLBJYKIQ \
  | 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: c337b44d30fa25d491a8c3deb0a70a441e633d185af2d17afab994456764914f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1c044da532c3b5b3051c9f03cd2173bee63b3765523a630040e3b1329d34c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-11-03T00:41:56Z",
    "title_canon_sha256": "367088a189dd1b2563acbe96fa35c921611be374f24233f2f1aa6d258979cf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00985",
    "kind": "arxiv",
    "version": 2
  }
}