Pith Number

pith:EU36VQEZ

pith:2026:EU36VQEZ6DMV4HPMBNHS23NZ7Z

not attested not anchored not stored refs pending

No involutions in the missing Moore graph

Yawara Ishida

arxiv:2606.29183 v1 · 2026-06-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU36VQEZ6DMV4HPMBNHS23NZ7Z}

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	2026-06-30T01:17:56.181356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2537eac099f0d95e1dec0b4f2d6db9fe4b7ede179e7c033e21ab553c9433598b

Aliases

arxiv: 2606.29183 · arxiv_version: 2606.29183v1 · doi: 10.48550/arxiv.2606.29183 · pith_short_12: EU36VQEZ6DMV · pith_short_16: EU36VQEZ6DMV4HPM · pith_short_8: EU36VQEZ

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/EU36VQEZ6DMV4HPMBNHS23NZ7Z \
  | 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: 2537eac099f0d95e1dec0b4f2d6db9fe4b7ede179e7c033e21ab553c9433598b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b44462ec8c3a7cb267a3f436f0ee3d2a303de6e0452e56dfe48d7292d95aff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-28T04:07:02Z",
    "title_canon_sha256": "6ab18d0ef5b6a06596bb8662aeb3afa406ffcdf365b9a822fe243701de0a06ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29183",
    "kind": "arxiv",
    "version": 1
  }
}