Pith Number

pith:QMBPJEZZ

pith:2011:QMBPJEZZ4E3T6KIP53GS57R3SO

not attested not anchored not stored refs pending

A simple variance inequality for U-statistics of a Markov chain with applications

Eric Moulines (LTCI), Gersende Fort (LTCI), Pierre Priouret (LPMA), Pierre Vandekerkhove (LAMA)

arxiv:1107.2576 v1 · 2011-07-13 · 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{QMBPJEZZ4E3T6KIP53GS57R3SO}

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	2026-05-18T03:32:05.943598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8302f49339e1373f290feecd2efe3b9396cddab02c4585707f8c071bcf26e728

Aliases

arxiv: 1107.2576 · arxiv_version: 1107.2576v1 · doi: 10.48550/arxiv.1107.2576 · pith_short_12: QMBPJEZZ4E3T · pith_short_16: QMBPJEZZ4E3T6KIP · pith_short_8: QMBPJEZZ

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/QMBPJEZZ4E3T6KIP53GS57R3SO \
  | 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: 8302f49339e1373f290feecd2efe3b9396cddab02c4585707f8c071bcf26e728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2cefdc6ae25840c9660b4b8027a26d9bb88ff62156de4ad0e669fc3f8b87c6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-07-13T15:21:55Z",
    "title_canon_sha256": "f27413c59402d4a5c3b723b42d8275dde1fe08003445e51e7b1e4dadc5b4c124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2576",
    "kind": "arxiv",
    "version": 1
  }
}