Pith Number

pith:F4Z3CPEO

pith:2008:F4Z3CPEO63YWR6B22DJT3JCJZX

not attested not anchored not stored refs pending

Groebner-Shirshov Bases for Lie Algebras: after A. I. Shirshov

L. A. Bokut, Yuqun Chen

arxiv:0804.1254 v1 · 2008-04-08 · 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{F4Z3CPEO63YWR6B22DJT3JCJZX}

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	2026-05-18T04:34:55.631243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f33b13c8ef6f168f83ad0d33da449cdd80d602b8f8d3eb5a094c7da416a22c5

Aliases

arxiv: 0804.1254 · arxiv_version: 0804.1254v1 · doi: 10.48550/arxiv.0804.1254 · pith_short_12: F4Z3CPEO63YW · pith_short_16: F4Z3CPEO63YWR6B2 · pith_short_8: F4Z3CPEO

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/F4Z3CPEO63YWR6B22DJT3JCJZX \
  | 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: 2f33b13c8ef6f168f83ad0d33da449cdd80d602b8f8d3eb5a094c7da416a22c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6485de73bbd4497185eaabe1f9b9c9e2a3cbd2ee90e042c34beafc5f6091ab26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-04-08T19:59:59Z",
    "title_canon_sha256": "201fb7318938874c5ebb562b907719e44cdd9fc20c8a51e9cb6650bc7518ee8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1254",
    "kind": "arxiv",
    "version": 1
  }
}