Pith Number

pith:C7XN7YE2

pith:2012:C7XN7YE2SO4IZTU5UTDK73TZDB

not attested not anchored not stored refs pending

Products of conjugacy classes in finite and algebraic simple groups

Gunter Malle, Pham Huu Tiep, Robert M. Guralnick

arxiv:1202.2627 v3 · 2012-02-13 · math.GR · 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{C7XN7YE2SO4IZTU5UTDK73TZDB}

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	2026-05-18T04:01:25.525522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17eedfe09a93b88cce9da4c6afee7918493038e9c80474b31407ef52245f9cbe

Aliases

arxiv: 1202.2627 · arxiv_version: 1202.2627v3 · doi: 10.48550/arxiv.1202.2627 · pith_short_12: C7XN7YE2SO4I · pith_short_16: C7XN7YE2SO4IZTU5 · pith_short_8: C7XN7YE2

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/C7XN7YE2SO4IZTU5UTDK73TZDB \
  | 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: 17eedfe09a93b88cce9da4c6afee7918493038e9c80474b31407ef52245f9cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b09c71a0d1e38c4bc4f48d749245b545e08dd1e7bdf9647d5beed9f5587e1b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-13T04:53:34Z",
    "title_canon_sha256": "63afdd08da8e60253a60aa6fc9bf202d0146d3abe42de0cf42bc4dac07b6a011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2627",
    "kind": "arxiv",
    "version": 3
  }
}