Pith Number

pith:4425YKQO

pith:2012:4425YKQOAWF4VIYYYX5MPFBA4P

not attested not anchored not stored refs pending

Classification of unital simple Leavitt path algebras of infinite graphs

Efren Ruiz, Mark Tomforde

arxiv:1210.6094 v4 · 2012-10-23 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4425YKQOAWF4VIYYYX5MPFBA4P}

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	2026-05-18T03:32:47.322136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e735dc2a0e058bcaa318c5fac79420e3de52048df2c616f7d90d0343e1cef5c1

Aliases

arxiv: 1210.6094 · arxiv_version: 1210.6094v4 · doi: 10.48550/arxiv.1210.6094 · pith_short_12: 4425YKQOAWF4 · pith_short_16: 4425YKQOAWF4VIYY · pith_short_8: 4425YKQO

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/4425YKQOAWF4VIYYYX5MPFBA4P \
  | 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: e735dc2a0e058bcaa318c5fac79420e3de52048df2c616f7d90d0343e1cef5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dfdbc371adef2cfd323b898b01bdd928ddbdd483bb8b88b8b33642538ced500",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-23T00:49:56Z",
    "title_canon_sha256": "b3127264950be0f015b5da588925ea1f05c95c2506730b5bc11cc16f493a62f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6094",
    "kind": "arxiv",
    "version": 4
  }
}