Pith Number

pith:ZFZTGBO5

pith:2026:ZFZTGBO5PMN2KQAOHODKVN7K7Y

not attested not anchored not stored refs pending

On Terwilliger $\mathbb{F}$-algebras of factorial association schemes II

Yu Jiang

arxiv:2606.11321 v1 · 2026-06-09 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFZTGBO5PMN2KQAOHODKVN7K7Y}

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	2026-06-11T00:08:19.262165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9733305dd7b1ba5400e3b86aab7eafe068d5e9184207e8ac3a8d9926c97e9ae

Aliases

arxiv: 2606.11321 · arxiv_version: 2606.11321v1 · doi: 10.48550/arxiv.2606.11321 · pith_short_12: ZFZTGBO5PMN2 · pith_short_16: ZFZTGBO5PMN2KQAO · pith_short_8: ZFZTGBO5

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/ZFZTGBO5PMN2KQAOHODKVN7K7Y \
  | 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: c9733305dd7b1ba5400e3b86aab7eafe068d5e9184207e8ac3a8d9926c97e9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75548e7bc54f0f0685c76273465bac365fdc618f03bdf095a40ae0c5ca19e54f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T18:03:12Z",
    "title_canon_sha256": "f3d34abc64fe74d0d544effcb02167cb92e966a1cb7cb480aba789a18a21bc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11321",
    "kind": "arxiv",
    "version": 1
  }
}