Pith Number

pith:AKGILLV2

pith:2025:AKGILLV2GOBPLYMZCKYS6SZINH

not attested not anchored not stored refs pending

Hyperpfaffian Correlations for Beta-Ensembles: Beta an Even Square Integer

Christopher D. Sinclair, Jonathan M. Wells

arxiv:2509.05487 v1 · 2025-09-05 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKGILLV2GOBPLYMZCKYS6SZINH}

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.

Cited by

1 paper in Pith

Fugacity-Resolved Stabilizer Entropy in Critical Quantum Chains: Discrete Selberg Sums and Exactly Solvable R\'enyi Indices

Receipt and verification

First computed	2026-07-05T12:05:48.410907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028c85aeba3382f5e19912b12f4b2869decf330e2860116d199de205a1cdc6a6

Aliases

arxiv: 2509.05487 · arxiv_version: 2509.05487v1 · doi: 10.48550/arxiv.2509.05487 · pith_short_12: AKGILLV2GOBP · pith_short_16: AKGILLV2GOBPLYMZ · pith_short_8: AKGILLV2

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/AKGILLV2GOBPLYMZCKYS6SZINH \
  | 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: 028c85aeba3382f5e19912b12f4b2869decf330e2860116d199de205a1cdc6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97048d3179c3fd87c3fec8b2c65045a86bc7c0eee64266a36ae6481754f764c6",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-09-05T20:28:29Z",
    "title_canon_sha256": "a2c5b4411f46bedeeaff3ade0cbbb2ba095123152c3376f1d917bbe0fbade2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05487",
    "kind": "arxiv",
    "version": 1
  }
}