Pith Number

pith:5JZQ65S6

pith:2009:5JZQ65S6ZVZSOZZKPMM6CA4WG3

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases and embeddings of algebras

L.A. Bokut, Qiuhui Mo, Yuqun Chen

arxiv:0908.1992 v1 · 2009-08-13 · 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{5JZQ65S6ZVZSOZZKPMM6CA4WG3}

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	2026-05-18T04:20:13.345727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea730f765ecd7327672a7b19e1039636eb8280eb3cd732e07430aebcad4fa099

Aliases

arxiv: 0908.1992 · arxiv_version: 0908.1992v1 · doi: 10.48550/arxiv.0908.1992 · pith_short_12: 5JZQ65S6ZVZS · pith_short_16: 5JZQ65S6ZVZSOZZK · pith_short_8: 5JZQ65S6

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/5JZQ65S6ZVZSOZZKPMM6CA4WG3 \
  | 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: ea730f765ecd7327672a7b19e1039636eb8280eb3cd732e07430aebcad4fa099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9df1a4351e6706d2d61b527e27771efe0a25f3cd038af619b6954ccc09cf421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-08-13T23:28:35Z",
    "title_canon_sha256": "eb70bc1e5828ef7bdda3b88f87ba70ee34d6959c9dd0e648b88c025d893ab3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1992",
    "kind": "arxiv",
    "version": 1
  }
}