Pith Number

pith:B35UDE6Z

pith:2011:B35UDE6ZTFKNKZ6DISFB7STM7L

not attested not anchored not stored refs pending

Simple bounds for the convergence of empirical and occupation measures in 1-Wasserstein distance

Emmanuel Boissard

arxiv:1103.3188 v2 · 2011-03-16 · math.PR · 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{B35UDE6ZTFKNKZ6DISFB7STM7L}

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	2026-05-18T04:21:13.275860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0efb4193d99954d567c3448a1fca6cfafd14d79e8b56dd25ce7c806b89bce45a

Aliases

arxiv: 1103.3188 · arxiv_version: 1103.3188v2 · doi: 10.48550/arxiv.1103.3188 · pith_short_12: B35UDE6ZTFKN · pith_short_16: B35UDE6ZTFKNKZ6D · pith_short_8: B35UDE6Z

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/B35UDE6ZTFKNKZ6DISFB7STM7L \
  | 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: 0efb4193d99954d567c3448a1fca6cfafd14d79e8b56dd25ce7c806b89bce45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04c3aede1cc0a78069fcadd25540aa5d44df10a9eed37d3bf201765cc50c9f7",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-16T15:00:30Z",
    "title_canon_sha256": "5428d4805a794f96e47911ada003e97cd6445f3eaa36a3e5d69da6d7902e95c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3188",
    "kind": "arxiv",
    "version": 2
  }
}