Pith Number

pith:E55MEACR

pith:2025:E55MEACRG2ADONNC7SI3G2VCN6

not attested not anchored not stored refs pending

Orthogonal polynomials in the spherical ensemble with two insertions

Arno B.J. Kuijlaars, Peter J. Forrester, Sampad Lahiry, Sung-Soo Byun

arxiv:2503.15732 v2 · 2025-03-19 · math.CA · math-ph · 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{E55MEACRG2ADONNC7SI3G2VCN6}

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

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge

Receipt and verification

First computed	2026-07-05T11:05:42.408383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277ac2005136803735a2fc91b36aa26f96db9fd1a946addd76d2f1269663f761

Aliases

arxiv: 2503.15732 · arxiv_version: 2503.15732v2 · doi: 10.48550/arxiv.2503.15732 · pith_short_12: E55MEACRG2AD · pith_short_16: E55MEACRG2ADONNC · pith_short_8: E55MEACR

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/E55MEACRG2ADONNC7SI3G2VCN6 \
  | 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: 277ac2005136803735a2fc91b36aa26f96db9fd1a946addd76d2f1269663f761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f40554a8e3c2cadeb6378260c9708b4219e6315cc732f72d0be62f46dcd43c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-03-19T22:56:29Z",
    "title_canon_sha256": "246e399e2ce94743b6e788a75128bb5f0c04fab1f0bf8fa532d6e8a614b5f0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15732",
    "kind": "arxiv",
    "version": 2
  }
}