Pith Number

pith:GVA33B7T

pith:2009:GVA33B7TMM3FLI3WKDFVY3Z6Y3

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for Rota-Baxter algebras

L.A. Bokut, Xueming Deng, Yuqun Chen

arxiv:0908.2281 v2 · 2009-08-17 · 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{GVA33B7TMM3FLI3WKDFVY3Z6Y3}

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	2026-05-18T04:34:55.475220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3541bd87f3633655a37650cb5c6f3ec6fcc2e65a4cc6dd12341a5f81619b9540

Aliases

arxiv: 0908.2281 · arxiv_version: 0908.2281v2 · doi: 10.48550/arxiv.0908.2281 · pith_short_12: GVA33B7TMM3F · pith_short_16: GVA33B7TMM3FLI3W · pith_short_8: GVA33B7T

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/GVA33B7TMM3FLI3WKDFVY3Z6Y3 \
  | 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: 3541bd87f3633655a37650cb5c6f3ec6fcc2e65a4cc6dd12341a5f81619b9540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362d3515ab0f2f841be42de17e8b37b024152424a61cd890360d45244b821c88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-08-17T04:49:05Z",
    "title_canon_sha256": "a8ca937b3d4056abfee17810767fc6649571d0e23b64e0c403757ad9156035ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2281",
    "kind": "arxiv",
    "version": 2
  }
}