Pith Number

pith:AA44WS24

pith:2015:AA44WS24BRYC4E6R6G5JYWTFFZ

not attested not anchored not stored refs pending

A law of the iterated logarithm for Grenander's estimator

Jon A. Wellner, Lutz Duembgen, Malcolm Wolff

arxiv:1502.00320 v1 · 2015-02-01 · 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{AA44WS24BRYC4E6R6G5JYWTFFZ}

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	2026-05-18T00:55:34.513420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0039cb4b5c0c702e13d1f1ba9c5a652e4e203351ab0d1fa46b1170005c7f9a21

Aliases

arxiv: 1502.00320 · arxiv_version: 1502.00320v1 · doi: 10.48550/arxiv.1502.00320 · pith_short_12: AA44WS24BRYC · pith_short_16: AA44WS24BRYC4E6R · pith_short_8: AA44WS24

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/AA44WS24BRYC4E6R6G5JYWTFFZ \
  | 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: 0039cb4b5c0c702e13d1f1ba9c5a652e4e203351ab0d1fa46b1170005c7f9a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf26d229b45a165d70f13567ae70d31847e20c471036a11a7020dca1ba33b09",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-02-01T22:02:59Z",
    "title_canon_sha256": "b948ff9cc7b1c1d6acc398a4aca2601912a1a379e6beb9a9a7afa25cb9be4f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00320",
    "kind": "arxiv",
    "version": 1
  }
}