Pith Number

pith:QHBBYHWY

pith:2010:QHBBYHWYCM2TVCEE7P37XJT6YS

not attested not anchored not stored refs pending

The Isaacs-Navarro Conjecture for covering groups of the symmetric and alternating groups in odd characteristic

Jean-Baptiste Gramain

arxiv:1003.4704 v2 · 2010-03-24 · 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{QHBBYHWYCM2TVCEE7P37XJT6YS}

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	2026-05-18T03:37:05.946118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c21c1ed813353a8884fbf7fba67ec4a1f9203f26c44f2d15c0816c18605627

Aliases

arxiv: 1003.4704 · arxiv_version: 1003.4704v2 · doi: 10.48550/arxiv.1003.4704 · pith_short_12: QHBBYHWYCM2T · pith_short_16: QHBBYHWYCM2TVCEE · pith_short_8: QHBBYHWY

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/QHBBYHWYCM2TVCEE7P37XJT6YS \
  | 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: 81c21c1ed813353a8884fbf7fba67ec4a1f9203f26c44f2d15c0816c18605627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32885a356d92c2411afd127a7b89b7f09f0bc98e4138544243f0569fb3dd39ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-03-24T17:47:57Z",
    "title_canon_sha256": "cb165d755260011d9eed436a8113c8404c20c668a649c4b83d7fae2b00e9aa7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4704",
    "kind": "arxiv",
    "version": 2
  }
}