Pith Number

pith:PK6TXJOD

pith:2013:PK6TXJODTUOTINZJO4CGGHL53C

not attested not anchored not stored refs pending

Weak Commutation Relations and Eigenvalue Statistics for Products of Rectangular Random Matrices

J. R. Ipsen, M. Kieburg

arxiv:1310.4154 v2 · 2013-10-15 · math-ph · cond-mat.stat-mech · 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{PK6TXJODTUOTINZJO4CGGHL53C}

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	2026-05-18T02:56:21.023406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abd3ba5c39d1d3437297704631d7dd8bdfa729e3d87fd87c7c7166e7c2d9436

Aliases

arxiv: 1310.4154 · arxiv_version: 1310.4154v2 · doi: 10.48550/arxiv.1310.4154 · pith_short_12: PK6TXJODTUOT · pith_short_16: PK6TXJODTUOTINZJ · pith_short_8: PK6TXJOD

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/PK6TXJODTUOTINZJO4CGGHL53C \
  | 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: 7abd3ba5c39d1d3437297704631d7dd8bdfa729e3d87fd87c7c7166e7c2d9436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c25dde0aa40f2057fa071506d938d2284777e31cc3ccc0339679be768f55c2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-15T19:23:55Z",
    "title_canon_sha256": "43349ceb60ff6ec229126cda3a54dcf88d153a77f2d94ca4d0907e6e137545d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4154",
    "kind": "arxiv",
    "version": 2
  }
}