Pith Number

pith:ZK6ULT7J

pith:2014:ZK6ULT7J5S726MNBGJJR7SN2LL

not attested not anchored not stored refs pending

Direct products of modules and the pure semisimplicity conjecture. Part II

Birge Huisgen-Zimmermann, Manuel Saor\'in

arxiv:1407.2365 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{ZK6ULT7J5S726MNBGJJR7SN2LL}

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	2026-05-18T02:48:01.811786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabd45cfe9ecbfaf31a132531fc9ba5acc7b01ed5540fab5a9a829905e463043

Aliases

arxiv: 1407.2365 · arxiv_version: 1407.2365v1 · doi: 10.48550/arxiv.1407.2365 · pith_short_12: ZK6ULT7J5S72 · pith_short_16: ZK6ULT7J5S726MNB · pith_short_8: ZK6ULT7J

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/ZK6ULT7J5S726MNBGJJR7SN2LL \
  | 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: cabd45cfe9ecbfaf31a132531fc9ba5acc7b01ed5540fab5a9a829905e463043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04981565933c61b9ba889eca8abaadbe3a086a04853b8515d0f0404bc42e7ad7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-09T06:17:23Z",
    "title_canon_sha256": "c1225ae78afbf6f0a0dd9b8237841a94ea3e4153609239878d07f9246393cb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2365",
    "kind": "arxiv",
    "version": 1
  }
}