Pith Number

pith:W2W42MXG

pith:2009:W2W42MXGA6S7CBZCZJXEV65FCW

not attested not anchored not stored refs pending

Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras

L.A. Bokut, Yu Li, Yuqun Chen

arxiv:0903.0706 v1 · 2009-03-04 · math.RA · 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{W2W42MXGA6S7CBZCZJXEV65FCW}

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	2026-07-04T17:22:54.480364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6adcd32e607a5f10722ca6e4afba515bc592a0f2fcf1daa7387d4f26f7892ef

Aliases

arxiv: 0903.0706 · arxiv_version: 0903.0706v1 · doi: 10.48550/arxiv.0903.0706 · pith_short_12: W2W42MXGA6S7 · pith_short_16: W2W42MXGA6S7CBZC · pith_short_8: W2W42MXG

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/W2W42MXGA6S7CBZCZJXEV65FCW \
  | 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: b6adcd32e607a5f10722ca6e4afba515bc592a0f2fcf1daa7387d4f26f7892ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01f508033174a77789e7ada59c836e1d06821ba73d9954c2fb9de476a9b413c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-03-04T07:39:24Z",
    "title_canon_sha256": "33dc4dddd222741681134dbc1742ee283c5fc5910664d53362de2e9b19df30b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0706",
    "kind": "arxiv",
    "version": 1
  }
}