Pith Number

pith:GKATQHHM

pith:2019:GKATQHHMYRM4QUWB4LZTJ422UW

not attested not anchored not stored refs pending

Mesoscopic central limit theorem for the circular beta-ensembles and applications

Gaultier Lambert

arxiv:1902.06611 v1 · 2019-02-18 · 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{GKATQHHMYRM4QUWB4LZTJ422UW}

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	2026-05-17T23:53:44.984066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3281381cecc459c852c1e2f334f35aa5a5069f88c18f36816ca6e5eab51c9565

Aliases

arxiv: 1902.06611 · arxiv_version: 1902.06611v1 · doi: 10.48550/arxiv.1902.06611 · pith_short_12: GKATQHHMYRM4 · pith_short_16: GKATQHHMYRM4QUWB · pith_short_8: GKATQHHM

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/GKATQHHMYRM4QUWB4LZTJ422UW \
  | 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: 3281381cecc459c852c1e2f334f35aa5a5069f88c18f36816ca6e5eab51c9565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1697ebf0f2c23c728a6ed6b1c0e8d3701e29480124ef7833d199c3d3caff1663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-18T15:25:44Z",
    "title_canon_sha256": "43d56fba9413672fb0fde2eaa5813c13e7e4f0b717d7b000f848d585e6d75a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06611",
    "kind": "arxiv",
    "version": 1
  }
}