Pith Number

pith:47V3EBHK

pith:2020:47V3EBHKCTBCO3XBDIHD3PQCQ7

not attested not anchored not stored refs pending

Diagonal groups and arcs over groups

Cheryl E. Praeger, Michael Kinyon, Peter J. Cameron, R. A. Bailey

arxiv:2010.16338 v2 · 2020-10-30 · math.CO · math.GR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47V3EBHKCTBCO3XBDIHD3PQCQ7}

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	2026-07-05T05:06:01.115544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ebb204ea14c2276ee11a0e3dbe0287f2cfb2d4fc314ea497023903382c14cf

Aliases

arxiv: 2010.16338 · arxiv_version: 2010.16338v2 · doi: 10.48550/arxiv.2010.16338 · pith_short_12: 47V3EBHKCTBC · pith_short_16: 47V3EBHKCTBCO3XB · pith_short_8: 47V3EBHK

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/47V3EBHKCTBCO3XBDIHD3PQCQ7 \
  | 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: e7ebb204ea14c2276ee11a0e3dbe0287f2cfb2d4fc314ea497023903382c14cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcc2371d1a9ec6c0b8d5678f8dbd39028351c35db469d324d069188a4de9b485",
    "cross_cats_sorted": [
      "math.GR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-30T15:56:11Z",
    "title_canon_sha256": "e4a3eaca531078ce69172bc072daae27dfaf6ed651f09d46d6c44e977e90b1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.16338",
    "kind": "arxiv",
    "version": 2
  }
}