Pith Number

pith:AHZOJDJG

pith:2010:AHZOJDJG4Z4YKP2YJTG6VM25YK

not attested not anchored not stored refs pending

Images of Locally Finite Derivations of Polynomial Algebras in Two Variables

Arno van den Essen, David Wright, Wenhua Zhao

arxiv:1004.0521 v2 · 2010-04-04 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHZOJDJG4Z4YKP2YJTG6VM25YK}

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	2026-07-05T04:47:37.052840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f2e48d26e679853f584ccdeab35dc28dae6f865d2f437cccff053076751fc9

Aliases

arxiv: 1004.0521 · arxiv_version: 1004.0521v2 · doi: 10.48550/arxiv.1004.0521 · pith_short_12: AHZOJDJG4Z4Y · pith_short_16: AHZOJDJG4Z4YKP2Y · pith_short_8: AHZOJDJG

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/AHZOJDJG4Z4YKP2YJTG6VM25YK \
  | 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: 01f2e48d26e679853f584ccdeab35dc28dae6f865d2f437cccff053076751fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18788bdd3177cb00b4491f3fc264553a90fb98df3630ec15bdb809888dc8fed2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-04T17:20:53Z",
    "title_canon_sha256": "5a3407fe893d7417a4e01e3fd6719cb157ff231b5d57eebcd7210e515b9ab7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0521",
    "kind": "arxiv",
    "version": 2
  }
}