Pith Number

pith:2OKZTK22

pith:2011:2OKZTK22A5Y2X6DDGN43LYECKS

not attested not anchored not stored refs pending

Existence of a Unique group of finite order

Shiv Datt Kumar, Sumit Kumar Upadhyay

arxiv:1104.3831 v1 · 2011-04-17 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OKZTK22A5Y2X6DDGN43LYECKS}

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	2026-05-18T04:23:55.621902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39599ab5a0771abf8633379b5e08254938adc4eed275b298c5525717261748c

Aliases

arxiv: 1104.3831 · arxiv_version: 1104.3831v1 · doi: 10.48550/arxiv.1104.3831 · pith_short_12: 2OKZTK22A5Y2 · pith_short_16: 2OKZTK22A5Y2X6DD · pith_short_8: 2OKZTK22

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/2OKZTK22A5Y2X6DDGN43LYECKS \
  | 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: d39599ab5a0771abf8633379b5e08254938adc4eed275b298c5525717261748c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e4b295415240bf0d5d877deabd61ac0005396072a38632e0931b0b3815a399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-04-17T17:50:38Z",
    "title_canon_sha256": "63ba550e1e84e7616279b0cc155e02853cf248d08b7b544110904b7f791d3539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3831",
    "kind": "arxiv",
    "version": 1
  }
}