Pith Number

pith:UKH52WC6

pith:2018:UKH52WC6QE5YSYYHFMTHPQ37CF

not attested not anchored not stored refs pending

Hoeffding's lemma for Markov Chains and its applications to statistical learning

Bai Jiang, Jianqing Fan, Qiang Sun

arxiv:1802.00211 v4 · 2018-02-01 · math.ST · 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{UKH52WC6QE5YSYYHFMTHPQ37CF}

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	2026-05-18T00:10:28.170832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28fdd585e813b8963072b2677c37f115cbc29c79b7dfcb28f9cd33ab401f983

Aliases

arxiv: 1802.00211 · arxiv_version: 1802.00211v4 · doi: 10.48550/arxiv.1802.00211 · pith_short_12: UKH52WC6QE5Y · pith_short_16: UKH52WC6QE5YSYYH · pith_short_8: UKH52WC6

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/UKH52WC6QE5YSYYHFMTHPQ37CF \
  | 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: a28fdd585e813b8963072b2677c37f115cbc29c79b7dfcb28f9cd33ab401f983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e730bdfb6fbcd86a96f705b0121a9726cb9c7a94af972be1183cacce6900cf5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-02-01T09:36:24Z",
    "title_canon_sha256": "cca9d4c790e7e13efb49f6dbc8dc3e34c4bcee44bc491bfc56164d5613a40526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00211",
    "kind": "arxiv",
    "version": 4
  }
}