Pith Number

pith:FZZFIEPI

pith:2015:FZZFIEPIBQP26C6LWPABWMQJM2

not attested not anchored not stored refs pending

A theorem of Kaplansky revisited

Bamdad R. Yahaghi, Heydar Radjavi

arxiv:1508.00183 v2 · 2015-08-02 · 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{FZZFIEPIBQP26C6LWPABWMQJM2}

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	2026-05-18T01:35:43.194923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e725411e80c1faf0bcbb3c01b320966bb425f54cb018dfb21b7c86637213b34

Aliases

arxiv: 1508.00183 · arxiv_version: 1508.00183v2 · doi: 10.48550/arxiv.1508.00183 · pith_short_12: FZZFIEPIBQP2 · pith_short_16: FZZFIEPIBQP26C6L · pith_short_8: FZZFIEPI

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/FZZFIEPIBQP26C6LWPABWMQJM2 \
  | 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: 2e725411e80c1faf0bcbb3c01b320966bb425f54cb018dfb21b7c86637213b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df9cba1b59e6345ca5eb502e28838c12464b4a74fac3d0e32d56f6cbc109737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-02T02:47:25Z",
    "title_canon_sha256": "5f2ad59b6bdeef1d62fccef3d9df08cb6fed89b232b28e62b96f1af623a513ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00183",
    "kind": "arxiv",
    "version": 2
  }
}