Pith Number

pith:ULOOMIPP

pith:2014:ULOOMIPPRVKAZNRIHB5WD67LIK

not attested not anchored not stored refs pending

Rota-Baxter operators on Witt and Virasoro algebras

Chengming Bai, Ming Liu, Naihuan Jing, Xu Gao

arxiv:1407.3159 v3 · 2014-07-11 · math-ph · math.MP · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULOOMIPPRVKAZNRIHB5WD67LIK}

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	2026-05-18T01:09:32.377467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2dce621ef8d540cb628387b61fbeb42815b0d3cb175d6998691a68faf27a93a

Aliases

arxiv: 1407.3159 · arxiv_version: 1407.3159v3 · doi: 10.48550/arxiv.1407.3159 · pith_short_12: ULOOMIPPRVKA · pith_short_16: ULOOMIPPRVKAZNRI · pith_short_8: ULOOMIPP

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/ULOOMIPPRVKAZNRIHB5WD67LIK \
  | 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: a2dce621ef8d540cb628387b61fbeb42815b0d3cb175d6998691a68faf27a93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5922696ef4ea701417f7074ad50aaab57933ed47ef2b99630e399c90765cfb86",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-11T13:48:41Z",
    "title_canon_sha256": "384352f1698b2d26609592cbd13fb8b3423504f8572d5f7bafc2883e9688bd83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3159",
    "kind": "arxiv",
    "version": 3
  }
}