Pith Number

pith:L4AF2ZBE

pith:2015:L4AF2ZBEUNUTNKBPYCGJ2HDA6O

not attested not anchored not stored refs pending

Recent exact and asymptotic results for products of independent random matrices

Gernot Akemann, Jesper R. Ipsen

arxiv:1502.01667 v2 · 2015-02-05 · 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{L4AF2ZBEUNUTNKBPYCGJ2HDA6O}

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

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T01:29:03.496257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f005d6424a36936a82fc08c9d1c60f39e5633430de539b9c3f6814d913ede19

Aliases

arxiv: 1502.01667 · arxiv_version: 1502.01667v2 · doi: 10.48550/arxiv.1502.01667 · pith_short_12: L4AF2ZBEUNUT · pith_short_16: L4AF2ZBEUNUTNKBP · pith_short_8: L4AF2ZBE

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/L4AF2ZBEUNUTNKBPYCGJ2HDA6O \
  | 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: 5f005d6424a36936a82fc08c9d1c60f39e5633430de539b9c3f6814d913ede19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ed715c79f8c2abd71e974d408b7861991002159d3b920754c85c8b36a1cfb3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-05T18:19:28Z",
    "title_canon_sha256": "53ea2454f0df6542985329e2e111f94bbe021511c5944c1c40f55d86c0c26ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01667",
    "kind": "arxiv",
    "version": 2
  }
}