Pith Number

pith:PD5H7YGC

pith:2025:PD5H7YGCQVJDXWPGWPMXCGG56W

not attested not anchored not stored refs pending

Isotopisms of quadratic quasigroups

Jack Allsop

arxiv:2506.02446 v1 · 2025-06-03 · 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{PD5H7YGCQVJDXWPGWPMXCGG56W}

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	2026-07-05T11:15:02.095448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78fa7fe0c285523bd9e6b3d97118ddf5b9d2229a26f34be6e84960ea8423408c

Aliases

arxiv: 2506.02446 · arxiv_version: 2506.02446v1 · doi: 10.48550/arxiv.2506.02446 · pith_short_12: PD5H7YGCQVJD · pith_short_16: PD5H7YGCQVJDXWPG · pith_short_8: PD5H7YGC

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/PD5H7YGCQVJDXWPGWPMXCGG56W \
  | 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: 78fa7fe0c285523bd9e6b3d97118ddf5b9d2229a26f34be6e84960ea8423408c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2acf7e1fc83419f218384477ae12d58d7a6bb79e02628e2adeb35ec26116abb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-03T05:08:28Z",
    "title_canon_sha256": "6e4151480020ab8130cb9ad4a7dbeb51726af8d7dbaadff5e43f55857ac08086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02446",
    "kind": "arxiv",
    "version": 1
  }
}