Pith Number

pith:HZWY574P

pith:2018:HZWY574P647FI4HQMV6NSE4HIV

not attested not anchored not stored refs pending

Formations of finite groups with the M. Hall property

Alexander Bors, Karl Auinger

arxiv:1803.04684 v2 · 2018-03-13 · 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{HZWY574P647FI4HQMV6NSE4HIV}

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	2026-05-18T00:04:07.836079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6d8eff8ff73e5470f0657cd913874558ee370d37b960704e112e9a6e0a3bec

Aliases

arxiv: 1803.04684 · arxiv_version: 1803.04684v2 · doi: 10.48550/arxiv.1803.04684 · pith_short_12: HZWY574P647F · pith_short_16: HZWY574P647FI4HQ · pith_short_8: HZWY574P

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/HZWY574P647FI4HQMV6NSE4HIV \
  | 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: 3e6d8eff8ff73e5470f0657cd913874558ee370d37b960704e112e9a6e0a3bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110d4c9761b5e925eeca573a171a14e9bb00cc70ea2d9b3c33ca5cce312daabc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-13T08:54:10Z",
    "title_canon_sha256": "662ad97699fc7d3f44173be7ea5a9403adf506678ad5b837c6d94ef27466294a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04684",
    "kind": "arxiv",
    "version": 2
  }
}