Pith Number

pith:WRKMKHO4

pith:2014:WRKMKHO4K4YK26CE4Y2EZZ5YXP

not attested not anchored not stored refs pending

The conjugacy class number k(G) - a different perspective

Deepak Gumber, Hemant Kalra

arxiv:1404.4835 v1 · 2014-04-18 · 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{WRKMKHO4K4YK26CE4Y2EZZ5YXP}

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	2026-05-18T02:53:54.763643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b454c51ddc5730ad7844e6344ce7b8bbd3cc9731f63cd6c75d05c894cfefd9f7

Aliases

arxiv: 1404.4835 · arxiv_version: 1404.4835v1 · doi: 10.48550/arxiv.1404.4835 · pith_short_12: WRKMKHO4K4YK · pith_short_16: WRKMKHO4K4YK26CE · pith_short_8: WRKMKHO4

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/WRKMKHO4K4YK26CE4Y2EZZ5YXP \
  | 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: b454c51ddc5730ad7844e6344ce7b8bbd3cc9731f63cd6c75d05c894cfefd9f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2431ca25ff37f32a23fc1df144433dec8685cf65fc9c49e6c16a83a3e34b3f83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-18T16:30:50Z",
    "title_canon_sha256": "32b95454e062ccf85902d0f045e002b8d7b7c185dc8b77bf2013f31d33a710a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4835",
    "kind": "arxiv",
    "version": 1
  }
}