Pith Number

pith:LNLU4YLS

pith:2026:LNLU4YLSPYLVE7PZTJQXNV64PW

not attested not anchored not stored refs pending

Schur rings over cyclic groups having Almost Commutative Terwilliger algebras

Nicholas L. Bastian, Stephen P. Humphries

arxiv:2606.19095 v1 · 2026-06-17 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNLU4YLSPYLVE7PZTJQXNV64PW}

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	2026-06-19T16:11:56.452988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b574e61727e17527df99a6176d7dc7d85b31393394d27db2ab2ac82ce34e08b

Aliases

arxiv: 2606.19095 · arxiv_version: 2606.19095v1 · doi: 10.48550/arxiv.2606.19095 · pith_short_12: LNLU4YLSPYLV · pith_short_16: LNLU4YLSPYLVE7PZ · pith_short_8: LNLU4YLS

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/LNLU4YLSPYLVE7PZTJQXNV64PW \
  | 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: 5b574e61727e17527df99a6176d7dc7d85b31393394d27db2ab2ac82ce34e08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3348c73ce8bb7be131c2e9975211795412df38a3d35c10257067ac7464c86dd8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-17T14:05:42Z",
    "title_canon_sha256": "9f49d2bf9adc47f78aea37ef91f61a8d969d0de52c05c22684eb0a304e9ffbc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19095",
    "kind": "arxiv",
    "version": 1
  }
}