Pith Number

pith:2K5UFUF5

pith:2016:2K5UFUF5ULUV224SWIJZBLM4HI

not attested not anchored not stored refs pending

Inference for the mode of a log-concave density

Charles R. Doss, Jon A. Wellner

arxiv:1611.10348 v3 · 2016-11-30 · 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{2K5UFUF5ULUV224SWIJZBLM4HI}

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	2026-05-18T00:14:22.891087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2bb42d0bda2e95d6b92b21390ad9c3a27f061ad4cf053ca6c481897a9a237f0

Aliases

arxiv: 1611.10348 · arxiv_version: 1611.10348v3 · doi: 10.48550/arxiv.1611.10348 · pith_short_12: 2K5UFUF5ULUV · pith_short_16: 2K5UFUF5ULUV224S · pith_short_8: 2K5UFUF5

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/2K5UFUF5ULUV224SWIJZBLM4HI \
  | 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: d2bb42d0bda2e95d6b92b21390ad9c3a27f061ad4cf053ca6c481897a9a237f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ed78c0c641bdaa9302fd061808624c486807b640952eff743d8b955e3ca1a0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-30T20:43:40Z",
    "title_canon_sha256": "4e14c525acf74da3cfde4ee2c5da02ad3473f659206a694afc80d803ce92a29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10348",
    "kind": "arxiv",
    "version": 3
  }
}