Pith Number

pith:I445X6JJ

pith:2014:I445X6JJ3MN4G5VZHMFGBRQ2E2

not attested not anchored not stored refs pending

Uniform central limit theorems for the Grenander estimator

Jakob S\"ohl

arxiv:1411.6419 v4 · 2014-11-24 · 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{I445X6JJ3MN4G5VZHMFGBRQ2E2}

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	2026-05-18T01:37:49.274675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4739dbf929db1bc376b93b0a60c61a26a16a9b51a1e190591cbbc352dc6429c7

Aliases

arxiv: 1411.6419 · arxiv_version: 1411.6419v4 · doi: 10.48550/arxiv.1411.6419 · pith_short_12: I445X6JJ3MN4 · pith_short_16: I445X6JJ3MN4G5VZ · pith_short_8: I445X6JJ

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/I445X6JJ3MN4G5VZHMFGBRQ2E2 \
  | 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: 4739dbf929db1bc376b93b0a60c61a26a16a9b51a1e190591cbbc352dc6429c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4127946030333023b74393d6bdde762a015ed4cf12c1e45d53229ea5993b0a7a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-11-24T11:52:16Z",
    "title_canon_sha256": "5004ffc03e7aa00958121f6d307211f774f15383014bfa101b36661b1c2176cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6419",
    "kind": "arxiv",
    "version": 4
  }
}