Pith Number

pith:NTXB5LYV

pith:2010:NTXB5LYVNBR2GFBVI4FQ5T3EH6

not attested not anchored not stored refs pending

Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra

Jing Li, Mingjun Zeng, Yuqun Chen

arxiv:1009.0196 v1 · 2010-09-01 · 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{NTXB5LYVNBR2GFBVI4FQ5T3EH6}

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	2026-05-18T04:34:55.135573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cee1eaf156863a31435470b0ecf643fb162eb1fdbee604823c9555f019804d1

Aliases

arxiv: 1009.0196 · arxiv_version: 1009.0196v1 · doi: 10.48550/arxiv.1009.0196 · pith_short_12: NTXB5LYVNBR2 · pith_short_16: NTXB5LYVNBR2GFBV · pith_short_8: NTXB5LYV

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/NTXB5LYVNBR2GFBVI4FQ5T3EH6 \
  | 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: 6cee1eaf156863a31435470b0ecf643fb162eb1fdbee604823c9555f019804d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13248c609442817923a0977a11bee4354482fdc4c81c377e2739b26cb6fd2549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-09-01T14:54:38Z",
    "title_canon_sha256": "9a88892a064f26dfdb873fc70a8a75c3a08b897bc36aa19006b89c8bdbadafe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0196",
    "kind": "arxiv",
    "version": 1
  }
}