Pith Number

pith:3AZ67RAV

pith:2008:3AZ67RAVQRMLS5PKIKRWUUM2JG

not attested not anchored not stored refs pending

Isomorphism and Morita equivalence of graph algebras

Gene Abrams, Mark Tomforde

arxiv:0810.2569 v2 · 2008-10-14 · math.OA · 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{3AZ67RAVQRMLS5PKIKRWUUM2JG}

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	2026-07-04T17:17:10.444762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d833efc4158458b975ea42a36a519a49beff41c3cea9b48543c7d12299ca7599

Aliases

arxiv: 0810.2569 · arxiv_version: 0810.2569v2 · doi: 10.48550/arxiv.0810.2569 · pith_short_12: 3AZ67RAVQRML · pith_short_16: 3AZ67RAVQRMLS5PK · pith_short_8: 3AZ67RAV

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/3AZ67RAVQRMLS5PKIKRWUUM2JG \
  | 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: d833efc4158458b975ea42a36a519a49beff41c3cea9b48543c7d12299ca7599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79485c9fd7b4632936a9399be1a5c26110350d02f30f9f46d8b277a68babbd03",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-10-14T22:20:21Z",
    "title_canon_sha256": "e5844fd18f3ff25e7b56aea41e3ca0bd11007241e10ae675a26f2583e69b7414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2569",
    "kind": "arxiv",
    "version": 2
  }
}