Pith Number

pith:Z272M6OT

pith:2013:Z272M6OTV46ACLIVU2QRK5UP5E

not attested not anchored not stored refs pending

Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices

Alex Bloemendal, Antti Knowles, Horng-Tzer Yau, Jun Yin, Laszlo Erdos

arxiv:1308.5729 v4 · 2013-08-27 · math.PR · 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{Z272M6OTV46ACLIVU2QRK5UP5E}

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	2026-05-18T01:36:48.433094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebfa679d3af3c012d15a6a115768fe91e06fa5bdaa9814c35f5d09a96ce95f3

Aliases

arxiv: 1308.5729 · arxiv_version: 1308.5729v4 · doi: 10.48550/arxiv.1308.5729 · pith_short_12: Z272M6OTV46A · pith_short_16: Z272M6OTV46ACLIV · pith_short_8: Z272M6OT

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/Z272M6OTV46ACLIVU2QRK5UP5E \
  | 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: cebfa679d3af3c012d15a6a115768fe91e06fa5bdaa9814c35f5d09a96ce95f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ae055c23bb3496f1ba37325008fb5d9ac8a4133a2ddce9de11cdf8ee021971",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-27T00:56:13Z",
    "title_canon_sha256": "83fb3c48fc2ecb046db5d2c53e281977a55a80d26308e08902a3d2970e5d6ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5729",
    "kind": "arxiv",
    "version": 4
  }
}