Pith Number

pith:BCBGVFXG

pith:2010:BCBGVFXG56Y4PN34FPGJLYLLWN

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for $L$-algebras

Jiapeng Huang, L.A. Bokut, Yuqun Chen

arxiv:1005.0118 v1 · 2010-05-02 · 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{BCBGVFXG56Y4PN34FPGJLYLLWN}

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	2026-05-18T02:24:09.468663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08826a96e6efb1c7b77c2bcc95e16bb3430b529384d425ccadd281bb237ded8a

Aliases

arxiv: 1005.0118 · arxiv_version: 1005.0118v1 · doi: 10.48550/arxiv.1005.0118 · pith_short_12: BCBGVFXG56Y4 · pith_short_16: BCBGVFXG56Y4PN34 · pith_short_8: BCBGVFXG

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/BCBGVFXG56Y4PN34FPGJLYLLWN \
  | 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: 08826a96e6efb1c7b77c2bcc95e16bb3430b529384d425ccadd281bb237ded8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f996d2924aa8d6605475887d916acfb4507e32afd0bdf3612c606da59baca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-05-02T02:20:47Z",
    "title_canon_sha256": "ad306063bb20eabda0021627ff8b78de510581282308876019751a2165d5a2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0118",
    "kind": "arxiv",
    "version": 1
  }
}