Pith Number

pith:USEKUSMF

pith:2016:USEKUSMFN5CR7C664FPU3KAPOT

not attested not anchored not stored refs pending

Lectures on the local semicircle law for Wigner matrices

Antti Knowles, Florent Benaych-Georges

arxiv:1601.04055 v4 · 2016-01-15 · 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{USEKUSMFN5CR7C664FPU3KAPOT}

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	2026-05-18T00:06:12.696432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a488aa49856f451f8bdee15f4da80f74d17ad1e569006b2273f1675116a9b6c6

Aliases

arxiv: 1601.04055 · arxiv_version: 1601.04055v4 · doi: 10.48550/arxiv.1601.04055 · pith_short_12: USEKUSMFN5CR · pith_short_16: USEKUSMFN5CR7C66 · pith_short_8: USEKUSMF

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/USEKUSMFN5CR7C664FPU3KAPOT \
  | 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: a488aa49856f451f8bdee15f4da80f74d17ad1e569006b2273f1675116a9b6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d92f7655d89b0558a6dd900379d94848650c451bb9afdde6906ab725ee5964",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-15T20:31:48Z",
    "title_canon_sha256": "3667bc3195c82a22ae34b965f470a88c0f519e64cedbae291d455e571dd94db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04055",
    "kind": "arxiv",
    "version": 4
  }
}