Pith Number

pith:JD7WDQ2Y

pith:2016:JD7WDQ2YLB7TWPFZGYEGJUSJDN

not attested not anchored not stored refs pending

General forms of finite population central limit theorems with applications to causal inference

Peng Ding, Xinran Li

arxiv:1610.04821 v1 · 2016-10-16 · 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{JD7WDQ2YLB7TWPFZGYEGJUSJDN}

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	2026-05-18T01:02:06.981489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ff61c358587f3b3cb9360864d2491b58eb370d2686c97b22dc1cee6e11716d

Aliases

arxiv: 1610.04821 · arxiv_version: 1610.04821v1 · doi: 10.48550/arxiv.1610.04821 · pith_short_12: JD7WDQ2YLB7T · pith_short_16: JD7WDQ2YLB7TWPFZ · pith_short_8: JD7WDQ2Y

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/JD7WDQ2YLB7TWPFZGYEGJUSJDN \
  | 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: 48ff61c358587f3b3cb9360864d2491b58eb370d2686c97b22dc1cee6e11716d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609112bc08e94412d790eee025f7cbde07b7a16a671216e78b112975d540e192",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-16T05:16:21Z",
    "title_canon_sha256": "d15d3642c6a87f7db4406e946a3f4981c86f4399c576df7abfb6ec0be900b94a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04821",
    "kind": "arxiv",
    "version": 1
  }
}