Pith Number

pith:XKARUQ7I

pith:2010:XKARUQ7ITOVJMTOF5YYI26XDFH

not attested not anchored not stored refs pending

Normal coverings of finite symmetric and alternating groups

Cheryl Praeger, Daniela Bubboloni

arxiv:1011.4368 v1 · 2010-11-19 · 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{XKARUQ7ITOVJMTOF5YYI26XDFH}

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	2026-05-18T04:35:14.300589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba811a43e89baa964dc5ee308d7ae329e047b2e70ecac5d599ca006e18a99116

Aliases

arxiv: 1011.4368 · arxiv_version: 1011.4368v1 · doi: 10.48550/arxiv.1011.4368 · pith_short_12: XKARUQ7ITOVJ · pith_short_16: XKARUQ7ITOVJMTOF · pith_short_8: XKARUQ7I

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/XKARUQ7ITOVJMTOF5YYI26XDFH \
  | 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: ba811a43e89baa964dc5ee308d7ae329e047b2e70ecac5d599ca006e18a99116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de90d638dad3f32b2cea2c97d73935647f2fa04153093615981e9d934be6796d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-19T08:34:50Z",
    "title_canon_sha256": "45898eb3945dc01148ff30fae1ca3bbcfc3d7109b4338ed9ff5e89b3ab213dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4368",
    "kind": "arxiv",
    "version": 1
  }
}