Pith Number

pith:UXK32HBE

pith:2017:UXK32HBET7DXO2QOOX3EDKUKEH

not attested not anchored not stored refs pending

Jackknife multiplier bootstrap: finite sample approximations to the $U$-process supremum with applications

Kengo Kato, Xiaohui Chen

arxiv:1708.02705 v4 · 2017-08-09 · math.ST · math.PR · stat.ME · 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{UXK32HBET7DXO2QOOX3EDKUKEH}

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	2026-05-17T23:54:03.264601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d5bd1c249fc7776a0e75f641aa8a21c468cfa65c0ce60171b22f9f648c4300

Aliases

arxiv: 1708.02705 · arxiv_version: 1708.02705v4 · doi: 10.48550/arxiv.1708.02705 · pith_short_12: UXK32HBET7DX · pith_short_16: UXK32HBET7DXO2QO · pith_short_8: UXK32HBE

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/UXK32HBET7DXO2QOOX3EDKUKEH \
  | 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: a5d5bd1c249fc7776a0e75f641aa8a21c468cfa65c0ce60171b22f9f648c4300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda9e501c7945fefb005560cfd5328fe56c33f98653c5ae06320dd63239294af",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-08-09T03:43:03Z",
    "title_canon_sha256": "46d0d3407911dd34fa554bcfb13969ebda0d09466b2832a1b3e30f17f2ae760f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02705",
    "kind": "arxiv",
    "version": 4
  }
}