Pith Number

pith:KS4JKHJP

pith:2009:KS4JKHJPSSHWVFBPRGX2NO4O4E

not attested not anchored not stored refs pending

Bounds for the relative n-th nilpotency degree in compact groups

Francesco G. Russo (Universita' degli Studi di Palermo, Iran), Italy), Malayer, Palermo, Rashid Rezaei (University of Malayer

arxiv:0910.4716 v4 · 2009-10-25 · math.GR · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS4JKHJPSSHWVFBPRGX2NO4O4E}

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	2026-05-18T03:53:17.868306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b8951d2f948f6a942f89afa6bb8ee124101f5edba7d7434eb9b6f1b46df8fb

Aliases

arxiv: 0910.4716 · arxiv_version: 0910.4716v4 · doi: 10.48550/arxiv.0910.4716 · pith_short_12: KS4JKHJPSSHW · pith_short_16: KS4JKHJPSSHWVFBP · pith_short_8: KS4JKHJP

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/KS4JKHJPSSHWVFBPRGX2NO4O4E \
  | 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: 54b8951d2f948f6a942f89afa6bb8ee124101f5edba7d7434eb9b6f1b46df8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f2d2727a46a236ccfbb243b3c727c81b21e49f1211ab3e4e6e77791217e506",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-25T13:05:45Z",
    "title_canon_sha256": "4f8724415a0c62a1a540ccc3bca62ea45ff36619cba686dea8f69542199dc446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4716",
    "kind": "arxiv",
    "version": 4
  }
}