Pith Number

pith:PJ2X3IRC

pith:2012:PJ2X3IRCZQKR3TRGYPU453QJ5V

not attested not anchored not stored refs pending

The Loewy length of a tensor product of modules of a dihedral two-group

Christopher C. Gill, Erik Darp\"o

arxiv:1202.5385 v2 · 2012-02-24 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ2X3IRCZQKR3TRGYPU453QJ5V}

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	2026-05-18T03:59:48.982153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a757da222cc151dce26c3e9ceee09ed46e099c4ad531c5f9219bf05b5a60e79

Aliases

arxiv: 1202.5385 · arxiv_version: 1202.5385v2 · doi: 10.48550/arxiv.1202.5385 · pith_short_12: PJ2X3IRCZQKR · pith_short_16: PJ2X3IRCZQKR3TRG · pith_short_8: PJ2X3IRC

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/PJ2X3IRCZQKR3TRGYPU453QJ5V \
  | 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: 7a757da222cc151dce26c3e9ceee09ed46e099c4ad531c5f9219bf05b5a60e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445c58681529680701e725488f30e8725868847d254372bdb4c5a12fb1d1ad97",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-24T07:54:26Z",
    "title_canon_sha256": "eca04c2f04f2223d293a6171fcdf4901881f711d5ead68cbaedadf7193b296dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5385",
    "kind": "arxiv",
    "version": 2
  }
}