Pith Number

pith:5KZESCBQ

pith:2014:5KZESCBQ4SRGSY5UHNVLTTHXFS

not attested not anchored not stored refs pending

Quantile of a Mixture

Carole Bernard, Steven Vanduffel

arxiv:1411.4824 v1 · 2014-11-18 · stat.OT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KZESCBQ4SRGSY5UHNVLTTHXFS}

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	2026-05-18T02:34:51.163312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab2490830e4a26963b43b6ab9ccf72cb5ed438f1b799147cd0dae236f2f04c6

Aliases

arxiv: 1411.4824 · arxiv_version: 1411.4824v1 · doi: 10.48550/arxiv.1411.4824 · pith_short_12: 5KZESCBQ4SRG · pith_short_16: 5KZESCBQ4SRGSY5U · pith_short_8: 5KZESCBQ

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/5KZESCBQ4SRGSY5UHNVLTTHXFS \
  | 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: eab2490830e4a26963b43b6ab9ccf72cb5ed438f1b799147cd0dae236f2f04c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7136825decca4d251646b91cdbf87fe895b856dba6045f956b19deeb57e3ad61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2014-11-18T12:28:16Z",
    "title_canon_sha256": "3a2289b149d13f15c3764a383c4f5dc0a069d6c7e20327a56083f4ee80966e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4824",
    "kind": "arxiv",
    "version": 1
  }
}