Pith Number

pith:2PIPGUK4

pith:2020:2PIPGUK4Q3AGPTRM647GBUU4XH

not attested not anchored not stored refs pending

Mixed Moments for the Product of Ginibre Matrices

Nick Halmagyi, Shailesh Lal

arxiv:2007.10181 v1 · 2020-07-20 · math-ph · cond-mat.stat-mech · hep-th · math.MP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PIPGUK4Q3AGPTRM647GBUU4XH}

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

Spectral radius concentration for inhomogeneous random matrices with independent entries

Receipt and verification

First computed	2026-07-05T01:20:33.979046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d0f3515c86c067ce2cf73e60d29cb9c9625ae0e708e1c7834eff69ed450a3a

Aliases

arxiv: 2007.10181 · arxiv_version: 2007.10181v1 · doi: 10.48550/arxiv.2007.10181 · pith_short_12: 2PIPGUK4Q3AG · pith_short_16: 2PIPGUK4Q3AGPTRM · pith_short_8: 2PIPGUK4

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/2PIPGUK4Q3AGPTRM647GBUU4XH \
  | 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: d3d0f3515c86c067ce2cf73e60d29cb9c9625ae0e708e1c7834eff69ed450a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b20cd04734f9eec3b99d7029c7443d2ca4e39e6ef5fe4fa7b7ddcf9417c4df2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-07-20T15:13:18Z",
    "title_canon_sha256": "d5986dc45044c07c225ceee2fd865e0e3d85e367a1226e73b9b354dae80f9c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10181",
    "kind": "arxiv",
    "version": 1
  }
}