Pith Number

pith:P252KB6G

pith:2018:P252KB6GE4FBECHMCTBAJF5ZP4

not attested not anchored not stored refs pending

Equations in groups that are virtually direct products

Derek Holt, Laura Ciobanu, Sarah Rees

arxiv:1806.00244 v1 · 2018-06-01 · 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{P252KB6GE4FBECHMCTBAJF5ZP4}

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	2026-05-18T00:14:24.285258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ebba507c6270a1208ec14c20497b97f0b0d5595169b6db4893490bef60f22fd

Aliases

arxiv: 1806.00244 · arxiv_version: 1806.00244v1 · doi: 10.48550/arxiv.1806.00244 · pith_short_12: P252KB6GE4FB · pith_short_16: P252KB6GE4FBECHM · pith_short_8: P252KB6G

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/P252KB6GE4FBECHMCTBAJF5ZP4 \
  | 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: 7ebba507c6270a1208ec14c20497b97f0b0d5595169b6db4893490bef60f22fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a705dd8c25c5448850e1977556f7afe3f8388227dc77ff95f0060673a4905744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-01T09:00:38Z",
    "title_canon_sha256": "787f71822ad4404a0733aff1d3be3ef37084833cbc20f72964e0c142c68260e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00244",
    "kind": "arxiv",
    "version": 1
  }
}