Pith Number

pith:W4LHGPFK

pith:2014:W4LHGPFK753JOG7KFNK24ODMUA

not attested not anchored not stored refs pending

Finite p-groups with small automorphism group

Andrei Jaikin-Zapirain, Jon Gonzalez-Sanchez

arxiv:1406.5772 v2 · 2014-06-22 · 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{W4LHGPFK753JOG7KFNK24ODMUA}

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	2026-05-18T02:49:04.150718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b716733caaff76971bea2b55ae386ca02fad8473a25680975685b547b0ba9314

Aliases

arxiv: 1406.5772 · arxiv_version: 1406.5772v2 · doi: 10.48550/arxiv.1406.5772 · pith_short_12: W4LHGPFK753J · pith_short_16: W4LHGPFK753JOG7K · pith_short_8: W4LHGPFK

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/W4LHGPFK753JOG7KFNK24ODMUA \
  | 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: b716733caaff76971bea2b55ae386ca02fad8473a25680975685b547b0ba9314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891e172fc6187a83dbd312558fe6422faa13fa9d2f22a647aeffcdf907cb9907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-22T21:51:33Z",
    "title_canon_sha256": "cf2d92acd758a8de78df709439bbde1a6cd11324e0b94f1ace918be3d0f4cd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5772",
    "kind": "arxiv",
    "version": 2
  }
}