Pith Number

pith:S5SHWP2L

pith:2020:S5SHWP2LIZ7GZFV6M6D3KZ473D

not attested not anchored not stored refs pending

Minor summation formula of hyperpfaffians and Selberg integrals

Jiang Zeng, Masao Ishikawa

arxiv:2008.09776 v3 · 2020-08-22 · math.CO · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5SHWP2LIZ7GZFV6M6D3KZ473D}

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

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

Receipt and verification

First computed	2026-07-05T05:08:24.353871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97647b3f4b467e6c96be6787b5679fd8d151eadf84487351a9fd034e82ee38a0

Aliases

arxiv: 2008.09776 · arxiv_version: 2008.09776v3 · doi: 10.48550/arxiv.2008.09776 · pith_short_12: S5SHWP2LIZ7G · pith_short_16: S5SHWP2LIZ7GZFV6 · pith_short_8: S5SHWP2L

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/S5SHWP2LIZ7GZFV6M6D3KZ473D \
  | 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: 97647b3f4b467e6c96be6787b5679fd8d151eadf84487351a9fd034e82ee38a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecbfc3476e35af726f875bd437b97834e1d3d67f867f9fce9662f797bf2e1c1",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-22T08:12:51Z",
    "title_canon_sha256": "eef21566955d81d78f2fffde5ba82b2abadf9682b1e080cc2b7301a3617ee9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09776",
    "kind": "arxiv",
    "version": 3
  }
}