Pith Number

pith:534U5QAK

pith:2016:534U5QAKTK2X7MDHENLCCRBNZV

not attested not anchored not stored refs pending

Finite groups with coprime fixed-point-free automorphisms and applications

Lei Wang, Yin Liu

arxiv:1609.05635 v2 · 2016-09-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{534U5QAKTK2X7MDHENLCCRBNZV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:25:02.206823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef94ec00a9ab57fb067235621442dcd693afcd2c84048dc39294a9e1cf14876

Aliases

arxiv: 1609.05635 · arxiv_version: 1609.05635v2 · doi: 10.48550/arxiv.1609.05635 · pith_short_12: 534U5QAKTK2X · pith_short_16: 534U5QAKTK2X7MDH · pith_short_8: 534U5QAK

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/534U5QAKTK2X7MDHENLCCRBNZV \
  | 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: eef94ec00a9ab57fb067235621442dcd693afcd2c84048dc39294a9e1cf14876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0ef36ca02c28a3fc01fa094a75ee3478a10d1892370c1aafad7c41dd97a5f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-19T08:45:18Z",
    "title_canon_sha256": "4855b5221b279281c85b14c72b90756be3ad5560b41723ef53c63c836b901853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05635",
    "kind": "arxiv",
    "version": 2
  }
}