Pith Number

pith:5ZV2QFWI

pith:2011:5ZV2QFWIHYS2J5BZ5355VMGIHG

not attested not anchored not stored refs pending

Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices

Alexander Soshnikov, David Renfrew, Sean O'Rourke

arxiv:1106.0320 v1 · 2011-06-01 · 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{5ZV2QFWIHYS2J5BZ5355VMGIHG}

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	2026-05-18T04:20:50.641438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6ba816c83e25a4f439eefbdab0c8399d3b09db511803bd383e0b477809a8a9

Aliases

arxiv: 1106.0320 · arxiv_version: 1106.0320v1 · doi: 10.48550/arxiv.1106.0320 · pith_short_12: 5ZV2QFWIHYS2 · pith_short_16: 5ZV2QFWIHYS2J5BZ · pith_short_8: 5ZV2QFWI

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/5ZV2QFWIHYS2J5BZ5355VMGIHG \
  | 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: ee6ba816c83e25a4f439eefbdab0c8399d3b09db511803bd383e0b477809a8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9d772dd0889f67f1464e30fc2ebcecc9586dc4f1bd3fabd15c5f0765395525",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-01T21:01:40Z",
    "title_canon_sha256": "1d4de1644e588c2b4d0626ff90fb592fd24673d28bbc8520813cf7e617fee32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0320",
    "kind": "arxiv",
    "version": 1
  }
}