Pith Number

pith:IP7ZILYT

pith:2009:IP7ZILYTHRW4UCD5DQ2LFC7AFR

not attested not anchored not stored refs pending

Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie--Weiss model

Qi-Man Shao, Sourav Chatterjee

arxiv:0907.4450 v3 · 2009-07-25 · 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{IP7ZILYTHRW4UCD5DQ2LFC7AFR}

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	2026-05-18T04:24:36.396895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ff942f133c6dca087d1c34b28be02c586628fa2d4a04e135c8eacbf2e0967e

Aliases

arxiv: 0907.4450 · arxiv_version: 0907.4450v3 · doi: 10.48550/arxiv.0907.4450 · pith_short_12: IP7ZILYTHRW4 · pith_short_16: IP7ZILYTHRW4UCD5 · pith_short_8: IP7ZILYT

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/IP7ZILYTHRW4UCD5DQ2LFC7AFR \
  | 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: 43ff942f133c6dca087d1c34b28be02c586628fa2d4a04e135c8eacbf2e0967e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4ef9690ad45e9064cfaa97f87aee3b14d815f78e965eeda2991176e357ec9a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-25T22:29:23Z",
    "title_canon_sha256": "cfa231dffb320eae4384880beb1c3cde2388c82f0296fc9f4839f2dec6235095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4450",
    "kind": "arxiv",
    "version": 3
  }
}