Pith Number

pith:KL67CSHD

pith:2008:KL67CSHDD2MDMNKUQDSPWPEDUO

not attested not anchored not stored refs pending

Groebner-Shirshov bases for dialgebras

Cihua Liu, L.A. Bokut, Yuqun Chen

arxiv:0804.0638 v4 · 2008-04-04 · 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{KL67CSHDD2MDMNKUQDSPWPEDUO}

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	2026-05-18T04:41:35.182373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fdf148e31e9836355480e4fb3c83a3b8e20b41aa90c920596d18beae36f19e

Aliases

arxiv: 0804.0638 · arxiv_version: 0804.0638v4 · doi: 10.48550/arxiv.0804.0638 · pith_short_12: KL67CSHDD2MD · pith_short_16: KL67CSHDD2MDMNKU · pith_short_8: KL67CSHD

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/KL67CSHDD2MDMNKUQDSPWPEDUO \
  | 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: 52fdf148e31e9836355480e4fb3c83a3b8e20b41aa90c920596d18beae36f19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71c19578f913d588c1c66c854e015eb67bca0cef06f943e44a25e5fb75d2b50e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-04-04T01:08:13Z",
    "title_canon_sha256": "9e4e41b93fc5925e81dca66647107256992f045fd3de68f16d9aad0ce6791560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0638",
    "kind": "arxiv",
    "version": 4
  }
}