Pith Number

pith:G73GWJCL

pith:2010:G73GWJCLRYPD6KUQIRMW4MFNBZ

not attested not anchored not stored refs pending

On perfect order subsets in finite groups

Bui Xuan Hai, Nguyen Trong Tuan

arxiv:1007.0568 v2 · 2010-07-04 · 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{G73GWJCLRYPD6KUQIRMW4MFNBZ}

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	2026-05-17T23:53:07.075132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f66b244b8e1e3f2a9044596e30ad0e43474e1027c18714ce25f875a064ae8a

Aliases

arxiv: 1007.0568 · arxiv_version: 1007.0568v2 · doi: 10.48550/arxiv.1007.0568 · pith_short_12: G73GWJCLRYPD · pith_short_16: G73GWJCLRYPD6KUQ · pith_short_8: G73GWJCL

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/G73GWJCLRYPD6KUQIRMW4MFNBZ \
  | 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: 37f66b244b8e1e3f2a9044596e30ad0e43474e1027c18714ce25f875a064ae8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb774b34db09c16b7fb0f54e429ef310cd2efd3ecacbd384a7f89ed379ddebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-07-04T16:38:11Z",
    "title_canon_sha256": "0f9bee2ccf0ccd6e7d0a9cf64f2a74de0df9b24c69ae508c881c41aff18accee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0568",
    "kind": "arxiv",
    "version": 2
  }
}