Pith Number

pith:E4OB6DEH

pith:2011:E4OB6DEH3RUHWFS5VWSV5HDNTB

not attested not anchored not stored refs pending

Transportation inequalities: From Poisson to Gibbs measures

Liming Wu, Shi Shen, Xinyu Wang, Yutao ma

arxiv:1102.2297 v1 · 2011-02-11 · 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{E4OB6DEH3RUHWFS5VWSV5HDNTB}

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	2026-05-18T04:28:56.302720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271c1f0c87dc687b165dada55e9c6d9854abb2ebc7177e78e7c6ac41971326e3

Aliases

arxiv: 1102.2297 · arxiv_version: 1102.2297v1 · doi: 10.48550/arxiv.1102.2297 · pith_short_12: E4OB6DEH3RUH · pith_short_16: E4OB6DEH3RUHWFS5 · pith_short_8: E4OB6DEH

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/E4OB6DEH3RUHWFS5VWSV5HDNTB \
  | 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: 271c1f0c87dc687b165dada55e9c6d9854abb2ebc7177e78e7c6ac41971326e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a30ddc6d7a81e0ff7edd29293b85a77e8736855c149bb811e141f9e630c03d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-11T07:36:22Z",
    "title_canon_sha256": "b624bba3cec06c72530f9831c695aa62a3d3c3731b5e2c3c2be9128156b4ec74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2297",
    "kind": "arxiv",
    "version": 1
  }
}