Pith Number

pith:I4ZB7UIL

pith:2018:I4ZB7UILJ4IREIKE3BZDS2QHZG

not attested not anchored not stored refs pending

Rademacher complexity for Markov chains : Applications to kernel smoothing and Metropolis-Hasting

Fran\c{c}ois Portier, Patrice Bertail

arxiv:1806.02107 v2 · 2018-06-06 · math.ST · stat.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4ZB7UILJ4IREIKE3BZDS2QHZG}

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	2026-05-18T00:11:23.190023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47321fd10b4f11122144d872396a07c9b773a9a70a17c67d05520117f806509d

Aliases

arxiv: 1806.02107 · arxiv_version: 1806.02107v2 · doi: 10.48550/arxiv.1806.02107 · pith_short_12: I4ZB7UILJ4IR · pith_short_16: I4ZB7UILJ4IREIKE · pith_short_8: I4ZB7UIL

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/I4ZB7UILJ4IREIKE3BZDS2QHZG \
  | 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: 47321fd10b4f11122144d872396a07c9b773a9a70a17c67d05520117f806509d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaaf1f8921569162158681d0a145dfb9179445236ffa693568c15073e34d4936",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-06T10:40:18Z",
    "title_canon_sha256": "53f61be7529741651572a2f6dc8ee8fe3119b41735c4680c83a01f31a067e208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02107",
    "kind": "arxiv",
    "version": 2
  }
}