Pith Number

pith:PK3RQ5PW

pith:2011:PK3RQ5PWJH64MBODHJN22QEEPD

not attested not anchored not stored refs pending

On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-Identically Distributed Entries

Alexander Soshnikov, David Renfrew, Sean O'Rourke

arxiv:1104.1663 v4 · 2011-04-09 · math.PR · 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{PK3RQ5PWJH64MBODHJN22QEEPD}

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	2026-05-18T02:45:12.895752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab71875f649fdc605c33a5bad408478e594b86204bfea8a1f2d8ce9eec7a822

Aliases

arxiv: 1104.1663 · arxiv_version: 1104.1663v4 · doi: 10.48550/arxiv.1104.1663 · pith_short_12: PK3RQ5PWJH64 · pith_short_16: PK3RQ5PWJH64MBOD · pith_short_8: PK3RQ5PW

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/PK3RQ5PWJH64MBODHJN22QEEPD \
  | 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: 7ab71875f649fdc605c33a5bad408478e594b86204bfea8a1f2d8ce9eec7a822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f0189946c776a2c9a07663469cd7bf46e9a55beede98a5a41462306c197786",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-09T00:40:31Z",
    "title_canon_sha256": "82b864830e7b01a2d702305b98d96dc6524649c565056f9a245ae6cf10f21d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1663",
    "kind": "arxiv",
    "version": 4
  }
}