Pith Number

pith:R7S5HJTO

pith:2012:R7S5HJTOX2PPW7CJJY2G3WLEWY

not attested not anchored not stored refs pending

Toroidal vertex algebras and their modules

Haisheng Li, Qing Wang, Shaobin Tan

arxiv:1201.5820 v1 · 2012-01-27 · 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{R7S5HJTOX2PPW7CJJY2G3WLEWY}

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	2026-05-18T04:03:44.437454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe5d3a66ebe9efb7c494e346dd964b600ad9d8478d496072569c99c40eb751c

Aliases

arxiv: 1201.5820 · arxiv_version: 1201.5820v1 · doi: 10.48550/arxiv.1201.5820 · pith_short_12: R7S5HJTOX2PP · pith_short_16: R7S5HJTOX2PPW7CJ · pith_short_8: R7S5HJTO

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/R7S5HJTOX2PPW7CJJY2G3WLEWY \
  | 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: 8fe5d3a66ebe9efb7c494e346dd964b600ad9d8478d496072569c99c40eb751c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1401a3b556dee854908ec1903a7b81c4282e9e3bbf2f1a98fa26048fa355784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-27T16:29:26Z",
    "title_canon_sha256": "a142d9edec154a0ba7477c6f5fe1fafa77af46fbf42538de2f373f85e59f8a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5820",
    "kind": "arxiv",
    "version": 1
  }
}