Pith Number

pith:NEDRZDGO

pith:2010:NEDRZDGOJHVCT54PSLTXUO5LSH

not attested not anchored not stored refs pending

Central quotient versus commutator subgroup of groups

Manoj K. Yadav

arxiv:1011.2083 v4 · 2010-11-09 · 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{NEDRZDGOJHVCT54PSLTXUO5LSH}

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	2026-05-18T00:11:19.761885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69071c8cce49ea29f78f92e77a3bab91eab0cfa264ddb578a6b79dd65d70f7cc

Aliases

arxiv: 1011.2083 · arxiv_version: 1011.2083v4 · doi: 10.48550/arxiv.1011.2083 · pith_short_12: NEDRZDGOJHVC · pith_short_16: NEDRZDGOJHVCT54P · pith_short_8: NEDRZDGO

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/NEDRZDGOJHVCT54PSLTXUO5LSH \
  | 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: 69071c8cce49ea29f78f92e77a3bab91eab0cfa264ddb578a6b79dd65d70f7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506c9829617dbda31d344625ecceb0a5279403cee1dcef2205d958f5b01a5812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-09T13:46:45Z",
    "title_canon_sha256": "dc8ae4f1bfe35c06c1a7a2dbe1e7da4f104be5ef3338fe675ed1f788ee122aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2083",
    "kind": "arxiv",
    "version": 4
  }
}