Pith Number

pith:RET3SRD6

pith:2025:RET3SRD6DKPHKOT6HRTSIQZV3P

not attested not anchored not stored refs pending

Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure

Kohei Noda, Sung-Soo Byun

arxiv:2503.14942 v1 · 2025-03-19 · math.PR · 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{RET3SRD6DKPHKOT6HRTSIQZV3P}

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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

Spectral moments of complex and symplectic non-Hermitian random matrices

Receipt and verification

First computed	2026-07-05T10:34:28.036510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8927b9447e1a9e753a7e3c67244335dbe50ab83aa11b7d799095de720dfbcff5

Aliases

arxiv: 2503.14942 · arxiv_version: 2503.14942v1 · doi: 10.48550/arxiv.2503.14942 · pith_short_12: RET3SRD6DKPH · pith_short_16: RET3SRD6DKPHKOT6 · pith_short_8: RET3SRD6

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/RET3SRD6DKPHKOT6HRTSIQZV3P \
  | 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: 8927b9447e1a9e753a7e3c67244335dbe50ab83aa11b7d799095de720dfbcff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f508cbca248e7d3e0e5abbfa0ed13c0c151a290809e42a932d30ae062e9b0238",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-19T07:16:38Z",
    "title_canon_sha256": "1fbc86846621b970928f774475c8c90f378f7dcd907880c418eeb13005284117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.14942",
    "kind": "arxiv",
    "version": 1
  }
}