Pith Number

pith:PY4S4CXZ

pith:2012:PY4S4CXZECNEJUPVHGDMSHAUNY

not attested not anchored not stored refs pending

Bernstein inequality and moderate deviations under strong mixing conditions

Emmanuel Rio, Florence Merlev\`ede, Magda Peligrad

arxiv:1202.4777 v1 · 2012-02-21 · 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{PY4S4CXZECNEJUPVHGDMSHAUNY}

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	2026-05-18T04:01:49.047967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e392e0af9209a44d1f53986c91c146e364db51959eb96428195d613518df744

Aliases

arxiv: 1202.4777 · arxiv_version: 1202.4777v1 · doi: 10.48550/arxiv.1202.4777 · pith_short_12: PY4S4CXZECNE · pith_short_16: PY4S4CXZECNEJUPV · pith_short_8: PY4S4CXZ

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/PY4S4CXZECNEJUPVHGDMSHAUNY \
  | 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: 7e392e0af9209a44d1f53986c91c146e364db51959eb96428195d613518df744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b74503d9debd30acbcbc233ded0166db06ce26656d98a40d7abef4ad456c30f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-21T22:05:41Z",
    "title_canon_sha256": "9833855730c0a56be63b20317741106c41c71779cbae8ed826cbc0f83809ca64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4777",
    "kind": "arxiv",
    "version": 1
  }
}