Pith Number

pith:OZQALWWO

pith:2011:OZQALWWO5OKGX2S6RSL3SMUZIO

not attested not anchored not stored refs pending

Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem

A. Soffer, E. Carlen

arxiv:1106.2256 v1 · 2011-06-11 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZQALWWO5OKGX2S6RSL3SMUZIO}

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	2026-05-18T04:20:06.165686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766005daceeb946bea5e8c97b9329943a6e98bcbd5115dd773a5afa5ee7ac12c

Aliases

arxiv: 1106.2256 · arxiv_version: 1106.2256v1 · doi: 10.48550/arxiv.1106.2256 · pith_short_12: OZQALWWO5OKG · pith_short_16: OZQALWWO5OKGX2S6 · pith_short_8: OZQALWWO

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/OZQALWWO5OKGX2S6RSL3SMUZIO \
  | 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: 766005daceeb946bea5e8c97b9329943a6e98bcbd5115dd773a5afa5ee7ac12c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32a7770b379d45578eddd574f29abb798e231d7fb14db4e3785631b40aaf921",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-11T17:28:03Z",
    "title_canon_sha256": "295b30083ad0677c464f4bc27b2f70ee9367ab560c2f49823be97f0b700651f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2256",
    "kind": "arxiv",
    "version": 1
  }
}