Pith Number

pith:7RTIZHVI

pith:2010:7RTIZHVITWNYRLPDZ6DUN67EUG

not attested not anchored not stored refs pending

On minimal non-$CL$-groups

Daniele Ettore Otera (Universite' Paris-Sud 11, France), Francesco G. Russo (Universita' degli Studi di Palermo, Italy), Orsay cedex, Palermo

arxiv:1010.3876 v3 · 2010-10-19 · 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{7RTIZHVITWNYRLPDZ6DUN67EUG}

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	2026-05-17T23:58:26.438195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc668c9ea89d9b88ade3cf8746fbe4a1a879ecba4896fbc4d5392f6de6b0b5d6

Aliases

arxiv: 1010.3876 · arxiv_version: 1010.3876v3 · doi: 10.48550/arxiv.1010.3876 · pith_short_12: 7RTIZHVITWNY · pith_short_16: 7RTIZHVITWNYRLPD · pith_short_8: 7RTIZHVI

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/7RTIZHVITWNYRLPDZ6DUN67EUG \
  | 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: fc668c9ea89d9b88ade3cf8746fbe4a1a879ecba4896fbc4d5392f6de6b0b5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c682e9850ef842843346f717589b4b35d5bb78ce9a21ebbf13cebd775cb4d4ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-19T12:32:55Z",
    "title_canon_sha256": "2890bb03ba016d7c460371b0384782d5f9b8ad8eb9307e0fffb847c7f4eadabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3876",
    "kind": "arxiv",
    "version": 3
  }
}