Pith Number

pith:A4MOGV7Y

pith:2014:A4MOGV7YT4KSBH74N5SKTMHXIG

not attested not anchored not stored refs pending

Direct products of modules and the pure semisimplicity conjecture

Birge Huisgen-Zimmermann, Frank Okoh

arxiv:1407.2363 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{A4MOGV7YT4KSBH74N5SKTMHXIG}

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	2026-05-18T02:48:01.826688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0718e357f89f15209ffc6f64a9b0f741b2c14804e992c1d9a225c4c45039632e

Aliases

arxiv: 1407.2363 · arxiv_version: 1407.2363v1 · doi: 10.48550/arxiv.1407.2363 · pith_short_12: A4MOGV7YT4KS · pith_short_16: A4MOGV7YT4KSBH74 · pith_short_8: A4MOGV7Y

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/A4MOGV7YT4KSBH74N5SKTMHXIG \
  | 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: 0718e357f89f15209ffc6f64a9b0f741b2c14804e992c1d9a225c4c45039632e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a78311a702104630038b8eb7e3d63e87b7739d230f53dcadd0aabb334b67cc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-09T05:44:30Z",
    "title_canon_sha256": "8d64aff97b631a26a8a4d162a5e85b6eb750b959ec4a4e98164b28e1928290f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2363",
    "kind": "arxiv",
    "version": 1
  }
}