Pith Number

pith:3NWPUIDW

pith:2009:3NWPUIDWDK4EJGNI74VAB4YBTY

not attested not anchored not stored refs pending

On Odd Order Nilpotent Groups With Class 2

Vivek Kumar Jain

arxiv:0906.3645 v1 · 2009-06-19 · 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{3NWPUIDWDK4EJGNI74VAB4YBTY}

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	2026-05-18T04:05:46.998415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6cfa20761ab84499a8ff2a00f3019e015af2a39797f10de6fd0327204dbef7

Aliases

arxiv: 0906.3645 · arxiv_version: 0906.3645v1 · doi: 10.48550/arxiv.0906.3645 · pith_short_12: 3NWPUIDWDK4E · pith_short_16: 3NWPUIDWDK4EJGNI · pith_short_8: 3NWPUIDW

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/3NWPUIDWDK4EJGNI74VAB4YBTY \
  | 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: db6cfa20761ab84499a8ff2a00f3019e015af2a39797f10de6fd0327204dbef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71a7e18f0efd9b92f5c7212681a5f56c4006a430ba2b4e4d43c67f593ca264b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-06-19T11:41:27Z",
    "title_canon_sha256": "adbb62e79734b55f56159cd0df631923579bd110be63dadab59cb14141501f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3645",
    "kind": "arxiv",
    "version": 1
  }
}