Pith Number

pith:XHPW2U2S

pith:2011:XHPW2U2S5W3WTN5YUJICGQGRLY

not attested not anchored not stored refs pending

Eigenvectors of Wigner matrices: universality of global fluctuations

Florent Benaych-Georges

arxiv:1104.1219 v7 · 2011-04-07 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHPW2U2S5W3WTN5YUJICGQGRLY}

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	2026-05-18T03:44:34.080989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9df6d5352edb769b7b8a2502340d15e2c0bf63dbd802a7130c3665e05f8e7b3

Aliases

arxiv: 1104.1219 · arxiv_version: 1104.1219v7 · doi: 10.48550/arxiv.1104.1219 · pith_short_12: XHPW2U2S5W3W · pith_short_16: XHPW2U2S5W3WTN5Y · pith_short_8: XHPW2U2S

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/XHPW2U2S5W3WTN5YUJICGQGRLY \
  | 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: b9df6d5352edb769b7b8a2502340d15e2c0bf63dbd802a7130c3665e05f8e7b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f5381d6113b95a4817a74ebcb4fc680789bd3f409ec14b92285d736556f642",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-07T00:25:18Z",
    "title_canon_sha256": "d6087b9596302ecc77909732ced4abcfc94240241a90b05a3d887864199f3522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1219",
    "kind": "arxiv",
    "version": 7
  }
}