Pith Number

pith:W4XKNVRW

pith:2018:W4XKNVRWTDTM7NTPGBFL757ALX

not attested not anchored not stored refs pending

On Efficiency of the Plug-in Principle for Estimating Smooth Integrated Functionals of a Nonincreasing Density

Bodhisattva Sen, Rajarshi Mukherjee

arxiv:1808.07915 v3 · 2018-08-23 · 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{W4XKNVRWTDTM7NTPGBFL757ALX}

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	2026-05-17T23:48:40.229702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72ea6d63698e6cfb66f304abff7e05dfa5a96ca8f6192ea8d78deb38a4640c2

Aliases

arxiv: 1808.07915 · arxiv_version: 1808.07915v3 · doi: 10.48550/arxiv.1808.07915 · pith_short_12: W4XKNVRWTDTM · pith_short_16: W4XKNVRWTDTM7NTP · pith_short_8: W4XKNVRW

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/W4XKNVRWTDTM7NTPGBFL757ALX \
  | 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: b72ea6d63698e6cfb66f304abff7e05dfa5a96ca8f6192ea8d78deb38a4640c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fce82ddde92cb7184fcfc7b25e209e1ad2bc8ab8c6f9944524d68d7f3352d0d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-08-23T19:21:40Z",
    "title_canon_sha256": "1af59410cd76bd45c5dcebe490095ef9eae0bbb3c03d38d2496c5def712d3884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07915",
    "kind": "arxiv",
    "version": 3
  }
}