Pith Number

pith:SWUOJLXC

pith:2012:SWUOJLXC7ERMCSK4Z47A3HRHEH

not attested not anchored not stored refs pending

Ideals in Graph Algebras

Efren Ruiz, Mark Tomforde

arxiv:1205.1247 v4 · 2012-05-06 · 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{SWUOJLXC7ERMCSK4Z47A3HRHEH}

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	2026-05-18T03:28:06.149951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a8e4aee2f922c1495ccf3e0d9e2721f0091f0a75d5c0ad4864604c1c233ac0

Aliases

arxiv: 1205.1247 · arxiv_version: 1205.1247v4 · doi: 10.48550/arxiv.1205.1247 · pith_short_12: SWUOJLXC7ERM · pith_short_16: SWUOJLXC7ERMCSK4 · pith_short_8: SWUOJLXC

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/SWUOJLXC7ERMCSK4Z47A3HRHEH \
  | 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: 95a8e4aee2f922c1495ccf3e0d9e2721f0091f0a75d5c0ad4864604c1c233ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0c36b8b1896eedc8491d2aca0fc911a12ded0efefddd32b56c425140f1a19d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-06T20:54:55Z",
    "title_canon_sha256": "e6d649fa6a9d5e578b47933d578a3edca2c2994b71a0fc6593d3df213e63162a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1247",
    "kind": "arxiv",
    "version": 4
  }
}