Pith Number

pith:352OU5BT

pith:2011:352OU5BTT5GYFK7S3ZB3FBY2WZ

not attested not anchored not stored refs pending

Coprime subdegrees for primitive permutation groups and completely reducible linear groups

Cheryl Praeger, Pablo Spiga, Robert Guralnick, Silvio Dolfi

arxiv:1109.6559 v2 · 2011-09-29 · 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{352OU5BTT5GYFK7S3ZB3FBY2WZ}

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	2026-05-18T04:05:57.383637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df74ea74339f4d82abf2de43b2871ab650f763f294710c905dc84aa8b0733b53

Aliases

arxiv: 1109.6559 · arxiv_version: 1109.6559v2 · doi: 10.48550/arxiv.1109.6559 · pith_short_12: 352OU5BTT5GY · pith_short_16: 352OU5BTT5GYFK7S · pith_short_8: 352OU5BT

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/352OU5BTT5GYFK7S3ZB3FBY2WZ \
  | 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: df74ea74339f4d82abf2de43b2871ab650f763f294710c905dc84aa8b0733b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed25a5c95b05b080b9121ccaf3a141cc3f3d1ac05d271f72ddbca2eaa6b8d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-29T15:29:06Z",
    "title_canon_sha256": "57d09bcef8ee24440608ab0890bf2697043f5165e332a3a65c6fa118c0551acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6559",
    "kind": "arxiv",
    "version": 2
  }
}