Pith Number

pith:HKZJ3COT

pith:2026:HKZJ3COTCFY6RIUGRWNYJ5ZG6D

not attested not anchored not stored refs pending

Structure of Cayley Codes

Cheryl E. Praeger, Daniel Rademacher, Vishnuram Arumugam

arxiv:2606.28611 v1 · 2026-06-26 · 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{HKZJ3COTCFY6RIUGRWNYJ5ZG6D}

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	2026-06-30T00:15:20.547598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab29d89d31171e8a2868d9b84f726f0e987ecc3d771f0c3f09d85dee4a969ea

Aliases

arxiv: 2606.28611 · arxiv_version: 2606.28611v1 · doi: 10.48550/arxiv.2606.28611 · pith_short_12: HKZJ3COTCFY6 · pith_short_16: HKZJ3COTCFY6RIUG · pith_short_8: HKZJ3COT

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/HKZJ3COTCFY6RIUGRWNYJ5ZG6D \
  | 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: 3ab29d89d31171e8a2868d9b84f726f0e987ecc3d771f0c3f09d85dee4a969ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a0f07256a3a8112ccd1a61fcf04cdcc53af693a8906b181831d677c6e8579c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T21:11:11Z",
    "title_canon_sha256": "ea61cd0b91193c08f0be0fd7ec7dddd742494e0d496ed7796e24a6520640ea9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28611",
    "kind": "arxiv",
    "version": 1
  }
}