Pith Number

pith:5ADE5XOZ

pith:2011:5ADE5XOZMARHIKZPZM57D72MHV

not attested not anchored not stored refs pending

Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices (The Extended Version)

A. Jarosz, A. Swiech, G. Livan, M. A. Nowak, Z. Burda

arxiv:1103.3964 v1 · 2011-03-21 · cond-mat.stat-mech · 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{5ADE5XOZMARHIKZPZM57D72MHV}

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.

Receipt and verification

First computed	2026-05-18T04:19:21.734161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8064eddd96022742b2fcb3bf1ff4c3d78d0dd70d92311237f8ce1d06c88cdcc

Aliases

arxiv: 1103.3964 · arxiv_version: 1103.3964v1 · doi: 10.48550/arxiv.1103.3964 · pith_short_12: 5ADE5XOZMARH · pith_short_16: 5ADE5XOZMARHIKZP · pith_short_8: 5ADE5XOZ

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/5ADE5XOZMARHIKZPZM57D72MHV \
  | 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: e8064eddd96022742b2fcb3bf1ff4c3d78d0dd70d92311237f8ce1d06c88cdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40558dc14b3b3771bfaf4cc3ebab14d336f9600d72c47a821d0590fc8459f7cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-03-21T10:40:17Z",
    "title_canon_sha256": "94c72314645c30ebd0f9f69938db3d50000aef16ea6cbbee7041f2e76a27b9a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3964",
    "kind": "arxiv",
    "version": 1
  }
}