Pith Number

pith:REOO4P3U

pith:2009:REOO4P3UBN6OZYPJON7CPK6HDY

not attested not anchored not stored refs pending

Bootstrap for the Sample Mean and for U-Statistics of Mixing and Near Epoch Dependent Processes

Martin Wendler, Olimjon Sh. Sharipov

arxiv:0911.3083 v4 · 2009-11-16 · math.ST · math.PR · 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{REOO4P3UBN6OZYPJON7CPK6HDY}

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	2026-05-18T04:16:51.862809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891cee3f740b7cece1e9737e27abc71e23ca50898dc5943cd57d6a612f43203a

Aliases

arxiv: 0911.3083 · arxiv_version: 0911.3083v4 · doi: 10.48550/arxiv.0911.3083 · pith_short_12: REOO4P3UBN6O · pith_short_16: REOO4P3UBN6OZYPJ · pith_short_8: REOO4P3U

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/REOO4P3UBN6OZYPJON7CPK6HDY \
  | 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: 891cee3f740b7cece1e9737e27abc71e23ca50898dc5943cd57d6a612f43203a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02ac38ea3ca027950802d5c1b4ac343d4faf05d941c38a5c3a65eaafc6e2ea4",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-11-16T17:04:33Z",
    "title_canon_sha256": "06eedb62d2fd36644c96f766a98a45090a38c03d0de6dddfea8480b28e792019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3083",
    "kind": "arxiv",
    "version": 4
  }
}