Pith Number

pith:A7STCGCL

pith:2008:A7STCGCLKJM7JLDQCN73MWZTWY

not attested not anchored not stored refs pending

Anti-commutative Groebner-Shirshov basis of a free Lie algebra

L. A. Bokut, Yu Li, Yuqun Chen

arxiv:0804.0914 v1 · 2008-04-06 · 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{A7STCGCLKJM7JLDQCN73MWZTWY}

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	2026-05-18T02:15:53.947036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e531184b5259f4ac70137fb65b33b624da92212eddbe9bfb3efda44cfe69ae

Aliases

arxiv: 0804.0914 · arxiv_version: 0804.0914v1 · doi: 10.48550/arxiv.0804.0914 · pith_short_12: A7STCGCLKJM7 · pith_short_16: A7STCGCLKJM7JLDQ · pith_short_8: A7STCGCL

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/A7STCGCLKJM7JLDQCN73MWZTWY \
  | 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: 07e531184b5259f4ac70137fb65b33b624da92212eddbe9bfb3efda44cfe69ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d9e02f933e0412c7cc79962a8a47d305b793edbbc0bb2cce3f51c3dfdd8c9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-04-06T15:35:07Z",
    "title_canon_sha256": "9c28b6bb9438ea7518d2b0f939120dfb9cadea64456b9613d2fce690fc60fb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0914",
    "kind": "arxiv",
    "version": 1
  }
}