Pith Number

pith:UI3U6QEA

pith:2011:UI3U6QEAGMF4PHADRQZHIY4NCL

not attested not anchored not stored refs pending

The semicircle law for matrices with independent diagonals

Matthias L\"owe, Olga Friesen

arxiv:1108.3479 v2 · 2011-08-17 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI3U6QEAGMF4PHADRQZHIY4NCL}

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	2026-05-18T02:25:11.881178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2374f4080330bc79c038c3274638d12ebe12fb0c28b69a211613bf8ead14858

Aliases

arxiv: 1108.3479 · arxiv_version: 1108.3479v2 · doi: 10.48550/arxiv.1108.3479 · pith_short_12: UI3U6QEAGMF4 · pith_short_16: UI3U6QEAGMF4PHAD · pith_short_8: UI3U6QEA

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/UI3U6QEAGMF4PHADRQZHIY4NCL \
  | 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: a2374f4080330bc79c038c3274638d12ebe12fb0c28b69a211613bf8ead14858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec641d938c5f47192304224e569d0b719fe3881efe98359e6c9626fbf4b7a28",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-17T13:50:50Z",
    "title_canon_sha256": "519702a4553235f2a4851d159f779fd1ffe093f49562a828660a48283f5472fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3479",
    "kind": "arxiv",
    "version": 2
  }
}