Pith Number

pith:DUEH7UOJ

pith:2010:DUEH7UOJ4AUBYMKY5MIHW7L6HU

not attested not anchored not stored refs pending

Nil algebras with restricted growth

Agata Smoktunowicz, Alexander Young, T H Lenagan

arxiv:1008.4461 v1 · 2010-08-26 · 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{DUEH7UOJ4AUBYMKY5MIHW7L6HU}

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	2026-05-18T04:41:45.276142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d087fd1c9e0281c3158eb107b7d7e3d2b6a0b38bf09ca0e9da066e87eccbe1e

Aliases

arxiv: 1008.4461 · arxiv_version: 1008.4461v1 · doi: 10.48550/arxiv.1008.4461 · pith_short_12: DUEH7UOJ4AUB · pith_short_16: DUEH7UOJ4AUBYMKY · pith_short_8: DUEH7UOJ

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/DUEH7UOJ4AUBYMKY5MIHW7L6HU \
  | 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: 1d087fd1c9e0281c3158eb107b7d7e3d2b6a0b38bf09ca0e9da066e87eccbe1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613fb7922a94e414ced659a6783cad14faffd3ef84c571be28d5134138bbeb32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-26T09:05:23Z",
    "title_canon_sha256": "f6fc9f9e2e606bfbe562430392a10bdb79b0a3fdd36d9d6560d5ade7f7686b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4461",
    "kind": "arxiv",
    "version": 1
  }
}