Pith Number

pith:7M4UBZJR

pith:2026:7M4UBZJRWMLYVT467K7FH6OM5S

not attested not anchored not stored refs pending

Cayley graphs of quasirandom groups

Luca Sabatini

arxiv:2606.03801 v1 · 2026-06-02 · math.GR · 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{7M4UBZJRWMLYVT467K7FH6OM5S}

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	2026-06-03T02:06:02.793170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3940e531b3178acf9efabe53f9ccecbe82e0ff21cba1bd6db5d086f76181da

Aliases

arxiv: 2606.03801 · arxiv_version: 2606.03801v1 · doi: 10.48550/arxiv.2606.03801 · pith_short_12: 7M4UBZJRWMLY · pith_short_16: 7M4UBZJRWMLYVT46 · pith_short_8: 7M4UBZJR

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/7M4UBZJRWMLYVT467K7FH6OM5S \
  | 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: fb3940e531b3178acf9efabe53f9ccecbe82e0ff21cba1bd6db5d086f76181da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b1119e89e07a4bc96423a07a9ed61fa6c03512a6af6c879a355bf1de712dcb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-02T15:49:08Z",
    "title_canon_sha256": "e916d8a7765c3e314e5cbeaa2e69d7553266db12276b76c1f7fc2dd35b38578a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03801",
    "kind": "arxiv",
    "version": 1
  }
}