Pith Number

pith:UWPZGBFQ

pith:2012:UWPZGBFQ2JEGRL3K2OXJ7HBLVC

not attested not anchored not stored refs pending

Coprime commutators in PSL(2,q)

Marco Antonio Pellegrini, Pavel Shumyatsky

arxiv:1209.6377 v1 · 2012-09-27 · 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{UWPZGBFQ2JEGRL3K2OXJ7HBLVC}

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	2026-05-18T03:44:33.091071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a59f9304b0d24868af6ad3ae9f9c2ba89383dfbe78060df508b6abe6d6140c9b

Aliases

arxiv: 1209.6377 · arxiv_version: 1209.6377v1 · doi: 10.48550/arxiv.1209.6377 · pith_short_12: UWPZGBFQ2JEG · pith_short_16: UWPZGBFQ2JEGRL3K · pith_short_8: UWPZGBFQ

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/UWPZGBFQ2JEGRL3K2OXJ7HBLVC \
  | 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: a59f9304b0d24868af6ad3ae9f9c2ba89383dfbe78060df508b6abe6d6140c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "158ef95240eccd0569c2186c9ad0ac057ff90989cc8942da2099e3f4fa0f93c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-27T21:20:20Z",
    "title_canon_sha256": "bcb6dc2690625c4995319690ac6f73e24b6a2ecaecefdef4e442c14271753e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6377",
    "kind": "arxiv",
    "version": 1
  }
}