Pith Number

pith:4L3LXAP5

pith:2022:4L3LXAP5R3S2XQCPI6FFT4WB5B

not attested not anchored not stored refs pending

Local Laws and a Mesoscopic CLT for $\beta$-ensembles

Luke Peilen

arxiv:2208.14940 v2 · 2022-08-31 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L3LXAP5R3S2XQCPI6FFT4WB5B}

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.

Cited by

1 paper in Pith

Asymptotics of the partition function for $\beta$-ensembles at high temperature

Receipt and verification

First computed	2026-07-05T05:19:54.842898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f6bb81fd8ee5abc04f478a59f2c1e849b9de7588d04cef5c8402611b5afa5c

Aliases

arxiv: 2208.14940 · arxiv_version: 2208.14940v2 · doi: 10.48550/arxiv.2208.14940 · pith_short_12: 4L3LXAP5R3S2 · pith_short_16: 4L3LXAP5R3S2XQCP · pith_short_8: 4L3LXAP5

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/4L3LXAP5R3S2XQCPI6FFT4WB5B \
  | 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: e2f6bb81fd8ee5abc04f478a59f2c1e849b9de7588d04cef5c8402611b5afa5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbd24a66ce6b5693cf3cd5f3d0d567dc639d827ba29a7c57382a4c442703c0a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-08-31T16:16:41Z",
    "title_canon_sha256": "8c7e092183437b18fab27f02300a521c52eea89d4164f131ddc22a1f602488d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14940",
    "kind": "arxiv",
    "version": 2
  }
}