Pith Number

pith:E7TCAQCC

pith:2011:E7TCAQCCNLHRJV3HXZDP7KXM5O

not attested not anchored not stored refs pending

Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices

Alessandro Pizzo, Alexander Soshnikov, David Renfrew

arxiv:1103.1170 v5 · 2011-03-06 · 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{E7TCAQCCNLHRJV3HXZDP7KXM5O}

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	2026-05-18T02:02:59.139373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e62040426acf14d767be46ffaaeceb81c82ca94ccf868a59582eb5bd8c90de

Aliases

arxiv: 1103.1170 · arxiv_version: 1103.1170v5 · doi: 10.48550/arxiv.1103.1170 · pith_short_12: E7TCAQCCNLHR · pith_short_16: E7TCAQCCNLHRJV3H · pith_short_8: E7TCAQCC

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/E7TCAQCCNLHRJV3HXZDP7KXM5O \
  | 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: 27e62040426acf14d767be46ffaaeceb81c82ca94ccf868a59582eb5bd8c90de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872b311b705c6cd2acd0dc0d8fb3015b605fbc20dec3a1ce21555ac76f0d9cd7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-06T22:49:20Z",
    "title_canon_sha256": "159047515e98aae9a528ac1776d9bf05c8c46678f09ef5e4834d0ec59275faac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1170",
    "kind": "arxiv",
    "version": 5
  }
}