Pith Number

pith:IFCZO6QJ

pith:2017:IFCZO6QJHCVICEJZAWOTU5KRQT

not attested not anchored not stored refs pending

A Central Limit Theorem for Wasserstein type distances between two different laws

Jean-Claude Fort, Philippe Berthet, Thierry Klein

arxiv:1710.09763 v2 · 2017-10-26 · 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{IFCZO6QJHCVICEJZAWOTU5KRQT}

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	2026-05-18T00:31:50.125695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4145977a0938aa811139059d3a755184e597281f392b30790716e344dfe97680

Aliases

arxiv: 1710.09763 · arxiv_version: 1710.09763v2 · doi: 10.48550/arxiv.1710.09763 · pith_short_12: IFCZO6QJHCVI · pith_short_16: IFCZO6QJHCVICEJZ · pith_short_8: IFCZO6QJ

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/IFCZO6QJHCVICEJZAWOTU5KRQT \
  | 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: 4145977a0938aa811139059d3a755184e597281f392b30790716e344dfe97680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e18da2400b8f4fbce0b0958a9ceba8d0a99d823b59496af238b60f965c012cc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-10-26T15:39:51Z",
    "title_canon_sha256": "3282c5ef538ae66a15637b2f4f147ae395adbfa0712632bb480ac4db95ddcd90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09763",
    "kind": "arxiv",
    "version": 2
  }
}