Pith Number

pith:RNP2VPYX

pith:2014:RNP2VPYXXTKPIWAQU3J3E2ODB6

not attested not anchored not stored refs pending

Direct sums of representations as modules over their endomorphism rings

Birge Huisgen-Zimmermann, Manuel Saor\'in

arxiv:1407.2364 v1 · 2014-07-09 · math.RT · 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{RNP2VPYXXTKPIWAQU3J3E2ODB6}

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	2026-05-18T02:48:01.819533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5faabf17bcd4f45810a6d3b269c30f95a2c5f2d8d271b21dfabb0edbf496b2

Aliases

arxiv: 1407.2364 · arxiv_version: 1407.2364v1 · doi: 10.48550/arxiv.1407.2364 · pith_short_12: RNP2VPYXXTKP · pith_short_16: RNP2VPYXXTKPIWAQ · pith_short_8: RNP2VPYX

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/RNP2VPYXXTKPIWAQU3J3E2ODB6 \
  | 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: 8b5faabf17bcd4f45810a6d3b269c30f95a2c5f2d8d271b21dfabb0edbf496b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00ee057e9304df024f1b787e50ecac304643c934e68f3ab23aaf8a2598c864f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-09T06:12:13Z",
    "title_canon_sha256": "b90452e351bd59c61820d72b021499d5c5241a73e28e1e3f8f6c854fe8f50e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2364",
    "kind": "arxiv",
    "version": 1
  }
}