Pith Number

pith:TEEPYQCB

pith:2011:TEEPYQCBIYDUBY46NVCLYXBBTD

not attested not anchored not stored refs pending

Central limit theorem for Markov processes with spectral gap in the Wasserstein metric

Anna Walczuk, Tomasz Komorowski

arxiv:1102.1842 v6 · 2011-02-09 · 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{TEEPYQCBIYDUBY46NVCLYXBBTD}

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	2026-05-18T03:59:27.541331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9908fc4041460740e39e6d44bc5c2198d0ebd365419afe6e0bf24f6b80d84e49

Aliases

arxiv: 1102.1842 · arxiv_version: 1102.1842v6 · doi: 10.48550/arxiv.1102.1842 · pith_short_12: TEEPYQCBIYDU · pith_short_16: TEEPYQCBIYDUBY46 · pith_short_8: TEEPYQCB

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/TEEPYQCBIYDUBY46NVCLYXBBTD \
  | 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: 9908fc4041460740e39e6d44bc5c2198d0ebd365419afe6e0bf24f6b80d84e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbfd67614e3f5e6f9be4af9aa7d47460ab256ceb9ebe85dae149ba117ddc5e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-09T11:46:54Z",
    "title_canon_sha256": "4500ee9764313fdb1322705ae6da79ba1b9fca6658b4d241fb5f488b1d717d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1842",
    "kind": "arxiv",
    "version": 6
  }
}