Pith Number

pith:2VBPWFWC

pith:2016:2VBPWFWCZLODEL5S5DFKWA2JL3

not attested not anchored not stored refs pending

Limit Theorems for the Left Random Walk on GLd (R)

Christophe Cuny (MICS), Christophe Jan (IRMAR), Jerome Dedecker (MAP5)

arxiv:1603.02217 v1 · 2016-03-07 · 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{2VBPWFWCZLODEL5S5DFKWA2JL3}

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	2026-05-18T01:19:31.344391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d542fb16c2cadc322fb2e8caab03495ec7cd3c2c219c16b97f3334509ea3cbbf

Aliases

arxiv: 1603.02217 · arxiv_version: 1603.02217v1 · doi: 10.48550/arxiv.1603.02217 · pith_short_12: 2VBPWFWCZLOD · pith_short_16: 2VBPWFWCZLODEL5S · pith_short_8: 2VBPWFWC

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/2VBPWFWCZLODEL5S5DFKWA2JL3 \
  | 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: d542fb16c2cadc322fb2e8caab03495ec7cd3c2c219c16b97f3334509ea3cbbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec6a171c7c21c94ff6a2b5f3e6bec185471b6a6dead3a3947ddd3ff8dff2bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-07T19:32:30Z",
    "title_canon_sha256": "35c0bcf4e4cf630b43a0374f113736d48a5bfe1fef7cf9d3308f7ab969b1cc76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02217",
    "kind": "arxiv",
    "version": 1
  }
}