Pith Number

pith:CSYDJ7VN

pith:2010:CSYDJ7VNFSIG3NA32Z3HO2VB2E

not attested not anchored not stored refs pending

Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices

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

arxiv:1007.3594 v1 · 2010-07-21 · 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{CSYDJ7VNFSIG3NA32Z3HO2VB2E}

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	2026-05-18T03:23:48.131673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b034fead2c906db41bd676776aa1d132ded98803c5fe19bc56ddd4ced85771

Aliases

arxiv: 1007.3594 · arxiv_version: 1007.3594v1 · doi: 10.48550/arxiv.1007.3594 · pith_short_12: CSYDJ7VNFSIG · pith_short_16: CSYDJ7VNFSIG3NA3 · pith_short_8: CSYDJ7VN

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/CSYDJ7VNFSIG3NA32Z3HO2VB2E \
  | 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: 14b034fead2c906db41bd676776aa1d132ded98803c5fe19bc56ddd4ced85771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df5f8302924753afba14b18471ccde502d38371930065e4e8a7de96aa122570",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-07-21T09:33:36Z",
    "title_canon_sha256": "14b6a7888018654f33302bbc9222dbf43fd2517cb6ae26ab6c373a2a4369683f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3594",
    "kind": "arxiv",
    "version": 1
  }
}