Pith Number

pith:ROX7BBWR

pith:2010:ROX7BBWRIM3PKRUO6HXGLPYGY2

not attested not anchored not stored refs pending

Universality for generalized Wigner matrices with Bernoulli distribution

Horng-Tzer Yau, Jun Yin, L\'aszl\'o Erdos

arxiv:1003.3813 v7 · 2010-03-19 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROX7BBWRIM3PKRUO6HXGLPYGY2}

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	2026-05-18T04:12:21.280560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8baff086d14336f5468ef1ee65bf06c69c6dd14d40c07a2576e030963d5ecc84

Aliases

arxiv: 1003.3813 · arxiv_version: 1003.3813v7 · doi: 10.48550/arxiv.1003.3813 · pith_short_12: ROX7BBWRIM3P · pith_short_16: ROX7BBWRIM3PKRUO · pith_short_8: ROX7BBWR

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/ROX7BBWRIM3PKRUO6HXGLPYGY2 \
  | 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: 8baff086d14336f5468ef1ee65bf06c69c6dd14d40c07a2576e030963d5ecc84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea4c94fff7d6fec7e5c8c729a5e3c4c47e4e589cb02cdc55b1675c10e231c26",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-19T15:26:30Z",
    "title_canon_sha256": "a5f8420449686c5f44ad92bb0694628606d1234a39e87a7710cd0a343d550d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3813",
    "kind": "arxiv",
    "version": 7
  }
}