Pith Number

pith:M6ZNOIAX

pith:2015:M6ZNOIAXLYSJ5YFOCSBWZNHQPN

not attested not anchored not stored refs pending

Functional central limit theorems for single-stage samplings designs

Anne Ruiz-Gazen, H\'el\`ene Boistard, Hendrik P. Lopuha\"a

arxiv:1509.09273 v2 · 2015-09-30 · 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{M6ZNOIAXLYSJ5YFOCSBWZNHQPN}

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	2026-05-18T01:15:38.568781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b2d720175e249ee0ae14836cb4f07b6665d4f4da48ea2482223067867bd0dd

Aliases

arxiv: 1509.09273 · arxiv_version: 1509.09273v2 · doi: 10.48550/arxiv.1509.09273 · pith_short_12: M6ZNOIAXLYSJ · pith_short_16: M6ZNOIAXLYSJ5YFO · pith_short_8: M6ZNOIAX

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/M6ZNOIAXLYSJ5YFOCSBWZNHQPN \
  | 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: 67b2d720175e249ee0ae14836cb4f07b6665d4f4da48ea2482223067867bd0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f31d57b6041b84ad9271d5f01cee3c601ac13d7b696e56371231d3d94a22353",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-30T17:52:21Z",
    "title_canon_sha256": "ea21ec48863fbbdaa16fa13bc4fe2e05c83d3a283435e6f16bdb8084535d3c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09273",
    "kind": "arxiv",
    "version": 2
  }
}