Pith Number

pith:VS3ZFC6C

pith:2013:VS3ZFC6C56SNCMIOFDEOJCQFKG

not attested not anchored not stored refs pending

Circular law for random matrices with unconditional log-concave distribution

Djalil Chafai (LAMA), Rados{\l}aw Adamczak

arxiv:1303.5838 v1 · 2013-03-23 · math.PR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VS3ZFC6C56SNCMIOFDEOJCQFKG}

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	2026-05-18T01:37:21.859420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb7928bc2efa4d1310e28c8e48a0551a14015a9fd69773df3aa3650e8f0ab65

Aliases

arxiv: 1303.5838 · arxiv_version: 1303.5838v1 · doi: 10.48550/arxiv.1303.5838 · pith_short_12: VS3ZFC6C56SN · pith_short_16: VS3ZFC6C56SNCMIO · pith_short_8: VS3ZFC6C

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/VS3ZFC6C56SNCMIOFDEOJCQFKG \
  | 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: acb7928bc2efa4d1310e28c8e48a0551a14015a9fd69773df3aa3650e8f0ab65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ad81b1b969827ebb208a13f51c68f51679d78411020c8ba3c164192137fee6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-23T11:49:55Z",
    "title_canon_sha256": "8b750a596cde07b5790157bc1c3a7617610fa5f1b58cf00555a350f8b06e6618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5838",
    "kind": "arxiv",
    "version": 1
  }
}