Pith Number

pith:MXCATXQU

pith:2014:MXCATXQU4MBRP2RL2P3ESK3VBL

not attested not anchored not stored refs pending

Most switching classes with primitive automorphism groups contain graphs with trivial groups

Pablo Spiga, Peter J. Cameron

arxiv:1407.5288 v2 · 2014-07-20 · math.CO · 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{MXCATXQU4MBRP2RL2P3ESK3VBL}

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	2026-05-18T02:26:52.829534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c409de14e30317ea2bd3f6492b750ad25c99bdf43f80da92ba3bcdbf87c8b6

Aliases

arxiv: 1407.5288 · arxiv_version: 1407.5288v2 · doi: 10.48550/arxiv.1407.5288 · pith_short_12: MXCATXQU4MBR · pith_short_16: MXCATXQU4MBRP2RL · pith_short_8: MXCATXQU

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/MXCATXQU4MBRP2RL2P3ESK3VBL \
  | 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: 65c409de14e30317ea2bd3f6492b750ad25c99bdf43f80da92ba3bcdbf87c8b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd08468e56af23477de8924f6fc2c68b6c6bafc43daabbd24311aea3fd659b1b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-20T13:26:26Z",
    "title_canon_sha256": "74c137313cbf304f0fd685fa319b78d425190b270e5ab8b295d64771881c83bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5288",
    "kind": "arxiv",
    "version": 2
  }
}