Pith Number

pith:UREV6OJO

pith:2016:UREV6OJOLSBRPDEISM6FMAPW36

not attested not anchored not stored refs pending

Central limit theorem for linear groups

Jean-Fran\c{c}ois Quint, Yves Benoist

arxiv:1603.09086 v1 · 2016-03-30 · 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{UREV6OJOLSBRPDEISM6FMAPW36}

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	2026-05-18T01:13:53.427159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4495f392e5c83178c88933c5601f6df92a42974b842e5eaa323682aab03279e

Aliases

arxiv: 1603.09086 · arxiv_version: 1603.09086v1 · doi: 10.48550/arxiv.1603.09086 · pith_short_12: UREV6OJOLSBR · pith_short_16: UREV6OJOLSBRPDEI · pith_short_8: UREV6OJO

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/UREV6OJOLSBRPDEISM6FMAPW36 \
  | 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: a4495f392e5c83178c88933c5601f6df92a42974b842e5eaa323682aab03279e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37abc0120df0aa989f9d083870762842304f2cac72f69ad148b8075a95b28e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-30T09:05:46Z",
    "title_canon_sha256": "84d2138752be1bda72a72659d82fad0e849e71d3c4a2f6a969d42fdb9962ef46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09086",
    "kind": "arxiv",
    "version": 1
  }
}