Pith Number

pith:ODK44KK3

pith:2019:ODK44KK3ZKPL72KYYY7J5BMH4A

not attested not anchored not stored refs pending

Words, permutations, and the nonsolvable length of a finite group

Alexander Bors, Aner Shalev

arxiv:1904.02370 v1 · 2019-04-04 · 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{ODK44KK3ZKPL72KYYY7J5BMH4A}

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	2026-05-17T23:49:23.885119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d5ce295bca9ebfe958c63e9e8587e03a076797a0c6a53acd779c53aa1c2df1

Aliases

arxiv: 1904.02370 · arxiv_version: 1904.02370v1 · doi: 10.48550/arxiv.1904.02370 · pith_short_12: ODK44KK3ZKPL · pith_short_16: ODK44KK3ZKPL72KY · pith_short_8: ODK44KK3

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/ODK44KK3ZKPL72KYYY7J5BMH4A \
  | 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: 70d5ce295bca9ebfe958c63e9e8587e03a076797a0c6a53acd779c53aa1c2df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da85d2696c5315756eaff9b9b33a8e269b883f15f24c209c0a04bb14acfdcf1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-04T06:14:33Z",
    "title_canon_sha256": "b96e45f2067448859bfba389e322e4b1fd35211054521c86edcfe584ee94d764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02370",
    "kind": "arxiv",
    "version": 1
  }
}