Pith Number

pith:DMDKJLUZ

pith:2026:DMDKJLUZSDG64EGGW7QUNYBSW3

not attested not anchored not stored refs pending

Right groups, left quasigroups, and right heaps

Alberto Facchini, Andrea Albano, Marzia Mazzotta, Paola Stefanelli

arxiv:2606.09224 v1 · 2026-06-08 · 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{DMDKJLUZSDG64EGGW7QUNYBSW3}

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	2026-06-09T02:08:08.422682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b06a4ae9990cdee10c6b7e146e032b6dfd30ee08db78b78bb823c4f24394672

Aliases

arxiv: 2606.09224 · arxiv_version: 2606.09224v1 · doi: 10.48550/arxiv.2606.09224 · pith_short_12: DMDKJLUZSDG6 · pith_short_16: DMDKJLUZSDG64EGG · pith_short_8: DMDKJLUZ

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/DMDKJLUZSDG64EGGW7QUNYBSW3 \
  | 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: 1b06a4ae9990cdee10c6b7e146e032b6dfd30ee08db78b78bb823c4f24394672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5bbf0585b699075ac3283d8a3205e92c9114a3b9b447aea1f9c24da0e33ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-08T08:57:29Z",
    "title_canon_sha256": "8aeab6e8b7cc26265a7d72c8e16407f61f0f3510f2bc0cb235b8ee1d9514753f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09224",
    "kind": "arxiv",
    "version": 1
  }
}