Pith Number

pith:CGLAODQG

pith:2007:CGLAODQGCHOC7JEIDZL42Y2DJ3

not attested not anchored not stored refs pending

Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

Benjamin Schlein, Horng-Tzer Yau, L\'aszl\'o Erd\H{o}s

arxiv:0711.1730 v3 · 2007-11-12 · 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{CGLAODQGCHOC7JEIDZL42Y2DJ3}

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	2026-07-04T15:45:00.033271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1196070e0611dc2fa4881e57cd63434ed63f8c65ccf8b9a6c241d389d67ff15f

Aliases

arxiv: 0711.1730 · arxiv_version: 0711.1730v3 · doi: 10.48550/arxiv.0711.1730 · pith_short_12: CGLAODQGCHOC · pith_short_16: CGLAODQGCHOC7JEI · pith_short_8: CGLAODQG

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/CGLAODQGCHOC7JEIDZL42Y2DJ3 \
  | 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: 1196070e0611dc2fa4881e57cd63434ed63f8c65ccf8b9a6c241d389d67ff15f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995fb150bda7e6cf627aa040d3f947a4ad2297fa8501b4164804b3c7b0db480b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-11-12T09:48:46Z",
    "title_canon_sha256": "02fb9c00c50d0ba752d0d7ef51c06153aabcf4dc8d58ef7984491fb1c0fb3b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1730",
    "kind": "arxiv",
    "version": 3
  }
}