Pith Number

pith:GJ74JFBK

pith:2017:GJ74JFBKVJPQ7KSHRA2PAUTX77

not attested not anchored not stored refs pending

CLT for fluctuations of $\beta$-ensembles with general potential

Florent Bekerman, Sylvia Serfaty, Thomas Lebl\'e

arxiv:1706.09663 v2 · 2017-06-29 · 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{GJ74JFBKVJPQ7KSHRA2PAUTX77}

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	2026-05-18T00:24:10.062660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

327fc4942aaa5f0faa478834f05277ffd184638c25db20824ed93422fad90d16

Aliases

arxiv: 1706.09663 · arxiv_version: 1706.09663v2 · doi: 10.48550/arxiv.1706.09663 · pith_short_12: GJ74JFBKVJPQ · pith_short_16: GJ74JFBKVJPQ7KSH · pith_short_8: GJ74JFBK

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/GJ74JFBKVJPQ7KSHRA2PAUTX77 \
  | 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: 327fc4942aaa5f0faa478834f05277ffd184638c25db20824ed93422fad90d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21f3d695c56be20bf1a7edea722164315083af45d734aaabb1f3821cb17d101",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-29T10:24:21Z",
    "title_canon_sha256": "27f2ceb93472d6683840acd16ba7aef960305833463f1e8599c5d472c8ec5b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09663",
    "kind": "arxiv",
    "version": 2
  }
}