Pith Number

pith:XU3M37T3

pith:2013:XU3M37T3BP5BNL4TNPP5ENHUNM

not attested not anchored not stored refs pending

Finite cycles of indecomposable modules

Andrzej Skowro\'nski, Jos\'e Antonio de la Pe\~na, Piotr Malicki

arxiv:1306.0929 v2 · 2013-06-04 · 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{XU3M37T3BP5BNL4TNPP5ENHUNM}

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	2026-05-18T02:19:50.884690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd36cdfe7b0bfa16af936bdfd234f46b11f92c69b9ee6a0f72d27089d592314e

Aliases

arxiv: 1306.0929 · arxiv_version: 1306.0929v2 · doi: 10.48550/arxiv.1306.0929 · pith_short_12: XU3M37T3BP5B · pith_short_16: XU3M37T3BP5BNL4T · pith_short_8: XU3M37T3

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/XU3M37T3BP5BNL4TNPP5ENHUNM \
  | 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: bd36cdfe7b0bfa16af936bdfd234f46b11f92c69b9ee6a0f72d27089d592314e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10863fa15e5812b540faef6d6ece3214b500bcecbfc11880ca1dbf188547564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-04T21:23:40Z",
    "title_canon_sha256": "e9ab2df51648113f600061452c60db29c1a6890731246ac9466e8f3f1fa0d62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0929",
    "kind": "arxiv",
    "version": 2
  }
}