Pith Number

pith:WCL3NPNG

pith:2013:WCL3NPNGRONOQ7VCGE3UK3F57L

not attested not anchored not stored refs pending

A simple bootstrap method for constructing nonparametric confidence bands for functions

Joel Horowitz, Peter Hall

arxiv:1309.4864 v1 · 2013-09-19 · 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{WCL3NPNGRONOQ7VCGE3UK3F57L}

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	2026-05-18T03:00:49.216472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b097b6bda68b9ae87ea23137456cbdfae85ead25a9b9e8b46b6629a0b447eaa6

Aliases

arxiv: 1309.4864 · arxiv_version: 1309.4864v1 · doi: 10.48550/arxiv.1309.4864 · pith_short_12: WCL3NPNGRONO · pith_short_16: WCL3NPNGRONOQ7VC · pith_short_8: WCL3NPNG

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/WCL3NPNGRONOQ7VCGE3UK3F57L \
  | 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: b097b6bda68b9ae87ea23137456cbdfae85ead25a9b9e8b46b6629a0b447eaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be7e8c4f9e82d54e561ae8e2d02d37355c23cde542e889d1559ba2d7ea5f220",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-19T06:07:09Z",
    "title_canon_sha256": "b2de8f7de05958748137b01da19a42b6ac2efc209adf86fdc0f229953edb7d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4864",
    "kind": "arxiv",
    "version": 1
  }
}