Pith Number

pith:7V4ZDO7J

pith:2011:7V4ZDO7J5RN23IQCIC5Z7ZF3SO

not attested not anchored not stored refs pending

On the mean speed of convergence of empirical and occupation measures in Wasserstein distance

Emmanuel Boissard, Thibaut Le Gouic

arxiv:1105.5263 v1 · 2011-05-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7V4ZDO7J5RN23IQCIC5Z7ZF3SO}

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	2026-05-18T04:21:12.952110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7991bbe9ec5bada20240bb9fe4bb93b893c1e0cc492b5d97a7b24d2634609a

Aliases

arxiv: 1105.5263 · arxiv_version: 1105.5263v1 · doi: 10.48550/arxiv.1105.5263 · pith_short_12: 7V4ZDO7J5RN2 · pith_short_16: 7V4ZDO7J5RN23IQC · pith_short_8: 7V4ZDO7J

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/7V4ZDO7J5RN23IQCIC5Z7ZF3SO \
  | 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: fd7991bbe9ec5bada20240bb9fe4bb93b893c1e0cc492b5d97a7b24d2634609a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "456c7645b1cef3b9b26cfdd030d60bcc062bd246a993b00838e574900b286e23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-26T12:41:46Z",
    "title_canon_sha256": "9d9f11a291e2620b69903f9c16131bb5c94fc8fcebd7dbd2f97c0e746df5c179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5263",
    "kind": "arxiv",
    "version": 1
  }
}