Pith Number

pith:J33FMPRY

pith:2026:J33FMPRYCCKGMABKBAIWCCOMS3

not attested not anchored not stored refs pending

God numbers for Graphs, Games and Groups

C. Hou, M.H. Saleem, M.Z. Cassim, O. Knill, V. Seco Roopnaraine, Z. Adams

arxiv:2605.20243 v1 · 2026-05-18 · math.HO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J33FMPRYCCKGMABKBAIWCCOMS3}

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	2026-05-21T00:04:22.430933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef6563e38109466002a08116109cc96d3bf74c8bd68304156e975dbdf6b17e2

Aliases

arxiv: 2605.20243 · arxiv_version: 2605.20243v1 · doi: 10.48550/arxiv.2605.20243 · pith_short_12: J33FMPRYCCKG · pith_short_16: J33FMPRYCCKGMABK · pith_short_8: J33FMPRY

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/J33FMPRYCCKGMABKBAIWCCOMS3 \
  | 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: 4ef6563e38109466002a08116109cc96d3bf74c8bd68304156e975dbdf6b17e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28825b645036884cdbb09ace5cf535121cd0523a057aa80638ea54e7a8db4d2",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-05-18T03:01:06Z",
    "title_canon_sha256": "c47207f0d151941ce6ac9f5f2bebcb4303ff5cd4acd9da9d17257b5eeeb16542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20243",
    "kind": "arxiv",
    "version": 1
  }
}