Pith Number

pith:2KMKVOVL

pith:2013:2KMKVOVLPNEGALPBFUA46ALERY

not attested not anchored not stored refs pending

Growth, entropy and commutativity of algebras satisfying prescribed relations

Agata Smoktunowicz

arxiv:1307.1839 v3 · 2013-07-07 · 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{2KMKVOVLPNEGALPBFUA46ALERY}

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	2026-05-18T02:55:18.448787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d298aabaab7b48602de12d01cf01648e3d2733090ee71196377905806e4744f7

Aliases

arxiv: 1307.1839 · arxiv_version: 1307.1839v3 · doi: 10.48550/arxiv.1307.1839 · pith_short_12: 2KMKVOVLPNEG · pith_short_16: 2KMKVOVLPNEGALPB · pith_short_8: 2KMKVOVL

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/2KMKVOVLPNEGALPBFUA46ALERY \
  | 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: d298aabaab7b48602de12d01cf01648e3d2733090ee71196377905806e4744f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e022dbde274e77d236ee6a9d45e62d6364e772caf1e0187676045649d852d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-07T08:44:09Z",
    "title_canon_sha256": "c667a94996cca5f3530f703c776578c0bb6cdc6f253d90a7b2c8f432bd6abc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1839",
    "kind": "arxiv",
    "version": 3
  }
}