Pith Number

pith:CVPO7IPU

pith:2011:CVPO7IPU5LPK4WFMWL3QOQNJZN

not attested not anchored not stored refs pending

Proportions of Cyclic Matrices in Maximal Reducible Matrix Groups and Algebras

Cheryl E. Praeger, Michael Giudici, Scott Brown

arxiv:1105.4078 v1 · 2011-05-20 · 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{CVPO7IPU5LPK4WFMWL3QOQNJZN}

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	2026-05-18T04:21:43.020651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155eefa1f4eadeae58acb2f70741a9cb6466494f14d3a855668b4ec2016fd686

Aliases

arxiv: 1105.4078 · arxiv_version: 1105.4078v1 · doi: 10.48550/arxiv.1105.4078 · pith_short_12: CVPO7IPU5LPK · pith_short_16: CVPO7IPU5LPK4WFM · pith_short_8: CVPO7IPU

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/CVPO7IPU5LPK4WFMWL3QOQNJZN \
  | 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: 155eefa1f4eadeae58acb2f70741a9cb6466494f14d3a855668b4ec2016fd686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e0052490a36a1040472bec38e9a5fd9495e2fd607c1a0d29572a76f9eb5dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-20T13:13:28Z",
    "title_canon_sha256": "b03ba9c1d2106cab858ae07705d3deb7c045c4222f83e3cd99c6f4af2bb9a270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4078",
    "kind": "arxiv",
    "version": 1
  }
}