Pith Number

pith:7ROVK36E

pith:2010:7ROVK36EXS64DHFEMCTQCYIJ2M

not attested not anchored not stored refs pending

Stein couplings for normal approximation

Adrian R\"ollin, Louis H. Y. Chen

arxiv:1003.6039 v2 · 2010-03-31 · 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{7ROVK36EXS64DHFEMCTQCYIJ2M}

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.

Cited by

1 paper in Pith

Central limit theorem for high temperature spin models via martingale embedding

Receipt and verification

First computed	2026-05-18T04:38:48.401757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5d556fc4bcbdc19ca460a7016109d304e39c3057023aa7cbf5ec93017113f4

Aliases

arxiv: 1003.6039 · arxiv_version: 1003.6039v2 · doi: 10.48550/arxiv.1003.6039 · pith_short_12: 7ROVK36EXS64 · pith_short_16: 7ROVK36EXS64DHFE · pith_short_8: 7ROVK36E

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/7ROVK36EXS64DHFEMCTQCYIJ2M \
  | 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: fc5d556fc4bcbdc19ca460a7016109d304e39c3057023aa7cbf5ec93017113f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b0e725b350f53f8f1bca683655263e806ed444e80c05bc861f1a528d9c2052",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-31T12:46:30Z",
    "title_canon_sha256": "083a9de69c01d80d839dda8c207cf84900c2db8dfacd06aee7d35bf26e7dab35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6039",
    "kind": "arxiv",
    "version": 2
  }
}