Pith Number

pith:MXM4HBXU

pith:2014:MXM4HBXU45V4O642XZA2EPWIEL

not attested not anchored not stored refs pending

Purity, algebraic compactness, direct sum decompositions, and representation type

Birge Huisgen-Zimmermann

arxiv:1407.2360 v1 · 2014-07-09 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXM4HBXU45V4O642XZA2EPWIEL}

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	2026-05-18T02:48:01.832342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d9c386f4e76bc77b9abe41a23ec822f250e1aa258df263f00352e074bbbed4

Aliases

arxiv: 1407.2360 · arxiv_version: 1407.2360v1 · doi: 10.48550/arxiv.1407.2360 · pith_short_12: MXM4HBXU45V4 · pith_short_16: MXM4HBXU45V4O642 · pith_short_8: MXM4HBXU

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/MXM4HBXU45V4O642XZA2EPWIEL \
  | 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: 65d9c386f4e76bc77b9abe41a23ec822f250e1aa258df263f00352e074bbbed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb68e6daba8d42f4966446349aeccc93d442ae492deccd972d786916dcfaede7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-09T05:33:22Z",
    "title_canon_sha256": "8e23fa0a890ebb8e884ffbf584bf9350c7cd698770181dec1186a95872a31fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2360",
    "kind": "arxiv",
    "version": 1
  }
}