Pith Number

pith:7PAZNOAQ

pith:2008:7PAZNOAQWUWSJOJFTD7CLITFPA

not attested not anchored not stored refs pending

On the mean density of complex eigenvalues for an ensemble of random matrices with prescribed singular values

Yan V. Fyodorov, Yi Wei

arxiv:0809.2726 v2 · 2008-09-16 · 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{7PAZNOAQWUWSJOJFTD7CLITFPA}

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	2026-07-04T17:12:45.018871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc196b810b52d24b92598fe25a265781a9f1725ac2998e77b45de73261d7511

Aliases

arxiv: 0809.2726 · arxiv_version: 0809.2726v2 · doi: 10.48550/arxiv.0809.2726 · pith_short_12: 7PAZNOAQWUWS · pith_short_16: 7PAZNOAQWUWSJOJF · pith_short_8: 7PAZNOAQ

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/7PAZNOAQWUWSJOJFTD7CLITFPA \
  | 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: fbc196b810b52d24b92598fe25a265781a9f1725ac2998e77b45de73261d7511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30ef9ab83bad3fb6bbf65316e91f365dd37bd503c4e6f8d1658e25e9f04d77d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-16T14:15:13Z",
    "title_canon_sha256": "59303de5705173957b1fcee7c739d459508898e0629ada6e89f2ee1851c93be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2726",
    "kind": "arxiv",
    "version": 2
  }
}